Greatest Common Factor of 644/35, 8258/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/35, 8258/964

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 644/35,8258/964

Given fractions are 644/35,8258/964

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 644,8258

Greatest Common Factor of Numerators i.e. GCF of 644,8258 is 2 .

LCM of Denominators means LCM of 35,964 as per the given fractions.

LCM of 35,964 is 33740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,8258

GCF of Fractions 644/35,8258/964 is 2/33740

2 644, 8258
322, 4129

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

Greatest Common Factor of 644,8258 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,8258 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 8258

List of positive integer factors of 8258 that divides 8258 without a remainder.

1,2,4129,8258

Greatest Common Factor

We found the factors 644,8258 . The biggest common factor number is the GCF number.
So the greatest common factor 644,8258 is 2.

Lets's calculate LCM of 35,964

Given numbers has no common factors except 1. So, there LCM is their product i.e 33740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33740

Therefore, the GCF of Fractions 644/35,8258/964 is 2/33740

Least Common Multiple of 35,964 with GCF Formula

Least Common Multiple of 35,964 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 35,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,964) = 1

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

GCF(35,964) x common factors =1 x 1 = 1

LCM(35,964) = ( 35 × 964 ) / 1

LCM(35,964) = 33740 / 1

LCM(35,964) = 33740


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 644/35, 8258/964

1. 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.

2. What is the GCF of Fractions for 644/35, 8258/964?

Answer: GCF of Numerators as per given numbers 644/35, 8258/964 is

GCF of Numerators i.e. for 644,8258 is 2

LCM of denominators i.e. for 35,964 is 33740.

Thus, GCF of Fractions is 2/33740.Finally, GCF of Fractions for 644/35, 8258/964 is 2/33740.