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 320/88, 646/956

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 320/88, 646/956 i.e 2/21032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 320/88, 646/956.

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 320/88,646/956?

Given fractions are 320/88,646/956

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 320/88,646/956, numerators are 320,646

Denominators are 88,956

The GCF of 320,646 is 2 .

LCM of 88,956 is 21032.

The greatest common factor of 320/88,646/956 = [GCF of 320,646]/[LCM of 88,956]= 2/21032

Therefore, the GCF of 320/88,646/956 is 2/21032.

Greatest Common Factor of 320,646

To find the highest common factor of 320,646, we have to find the factors of both numbers and list the highest common factor.

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646

The HCF of 320,646 is 2.

Lets's calculate GCF of 320,646

Greatest Common Factor (GCF) of 320,646 By Common Division

2 320, 646
160, 323

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 320,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,646 By Matching Biggest Common Factor Method

Now, list down the factors of 320

:

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Now, list down the factors of 646

:

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 320,646 . The biggest common factor number is the GCF number.
So the greatest common factor 320,646 is 2.

Lets's calculate LCM of 88,956

Lowest Common Multiple of 88,956 using Common Division

2 88, 956
2 44, 478
22, 239

∴ So the LCM of the given numbers is 2 x 2 x 22 x 239 = 21032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21032

Therefore, the GCF of Fractions 320/88,646/956 is 2/21032

Least Common Multiple of 88,956 with GCF Formula

Least Common Multiple of 88,956 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 88,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,956) = 4

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

GCF(88,956) x common factors =4 x 1 = 4

LCM(88,956) = ( 88 × 956 ) / 4

LCM(88,956) = 84128 / 4

LCM(88,956) = 21032


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 320/88, 646/956

1. What is the HCF of 320,646?

The HCF of 320,646 is 2

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 320/88, 646/956?

Answer: GCF of Numerators as per given numbers 320/88, 646/956 is

GCF of Numerators i.e. for 320,646 is 2

LCM of denominators i.e. for 88,956 is 21032.

Thus, GCF of Fractions is 2/21032.Finally, GCF of Fractions for 320/88, 646/956 is 2/21032.