LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 390/228, 8140/8640

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 390/228, 8140/8640 i.e 10/164160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 390/228, 8140/8640.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 390/228,8140/8640?

Given fractions are 390/228,8140/8640

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 390/228,8140/8640, numerators are 390,8140

Denominators are 228,8640

The GCF of 390,8140 is 10 .

LCM of 228,8640 is 164160.

The greatest common factor of 390/228,8140/8640 = [GCF of 390,8140]/[LCM of 228,8640]= 10/164160

Therefore, the GCF of 390/228,8140/8640 is 10/164160.

Greatest Common Factor of 390,8140

To find the highest common factor of 390,8140, we have to find the factors of both numbers and list the highest common factor.

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140

The HCF of 390,8140 is 10.

Lets's calculate GCF of 390,8140

Greatest Common Factor (GCF) of 390,8140 By Common Division

2 390, 8140
5 195, 4070
39, 814

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 390,8140 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,8140 By Matching Biggest Common Factor Method

Now, list down the factors of 390

:

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Now, list down the factors of 8140

:

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Greatest Common Factor

We found the factors 390,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 390,8140 is 10.


Lets's calculate LCM of 228,8640

Lowest Common Multiple of 228,8640 using Common Division

2 228, 8640
2 114, 4320
3 57, 2160
19, 720

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 720 = 164160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/164160

Therefore, the GCF of Fractions 390/228,8140/8640 is 10/164160

Least Common Multiple of 228,8640 with GCF Formula

Least Common Multiple of 228,8640 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 228,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,8640) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(228,8640) x common factors =12 x 1 = 12

LCM(228,8640) = ( 228 × 8640 ) / 12

LCM(228,8640) = 1969920 / 12

LCM(228,8640) = 164160


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 390/228, 8140/8640

1. What is the HCF of 390,8140?

The HCF of 390,8140 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 390/228, 8140/8640?

Answer: GCF of Numerators as per given numbers 390/228, 8140/8640 is

GCF of Numerators i.e. for 390,8140 is 10

LCM of denominators i.e. for 228,8640 is 164160.

Thus, GCF of Fractions is 10/164160.Finally, GCF of Fractions for 390/228, 8140/8640 is 10/164160.