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 30/360, 1030/4278

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 30/360, 1030/4278 i.e 10/256680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/360, 1030/4278.

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 30/360,1030/4278?

Given fractions are 30/360,1030/4278

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 30/360,1030/4278, numerators are 30,1030

Denominators are 360,4278

The GCF of 30,1030 is 10 .

LCM of 360,4278 is 256680.

The greatest common factor of 30/360,1030/4278 = [GCF of 30,1030]/[LCM of 360,4278]= 10/256680

Therefore, the GCF of 30/360,1030/4278 is 10/256680.

Greatest Common Factor of 30,1030

To find the highest common factor of 30,1030, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030

The HCF of 30,1030 is 10.

Lets's calculate GCF of 30,1030

Greatest Common Factor (GCF) of 30,1030 By Common Division

2 30, 1030
5 15, 515
3, 103

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

Greatest Common Factor of 30,1030 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,1030 By Matching Biggest Common Factor Method

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Now, list down the factors of 1030

:

1,2,5,10,103,206,515,1030

Greatest Common Factor

We found the factors 30,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 30,1030 is 10.

Lets's calculate LCM of 360,4278

Lowest Common Multiple of 360,4278 using Common Division

2 360, 4278
3 180, 2139
60, 713

∴ So the LCM of the given numbers is 2 x 3 x 60 x 713 = 256680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/256680

Therefore, the GCF of Fractions 30/360,1030/4278 is 10/256680

Least Common Multiple of 360,4278 with GCF Formula

Least Common Multiple of 360,4278 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 360,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,4278) = 6

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

GCF(360,4278) x common factors =6 x 1 = 6

LCM(360,4278) = ( 360 × 4278 ) / 6

LCM(360,4278) = 1540080 / 6

LCM(360,4278) = 256680


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 30/360, 1030/4278

1. What is the HCF of 30,1030?

The HCF of 30,1030 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 30/360, 1030/4278?

Answer: GCF of Numerators as per given numbers 30/360, 1030/4278 is

GCF of Numerators i.e. for 30,1030 is 10

LCM of denominators i.e. for 360,4278 is 256680.

Thus, GCF of Fractions is 10/256680.Finally, GCF of Fractions for 30/360, 1030/4278 is 10/256680.