Greatest Common Factor of 9964/712, 3400/7757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9964/712, 3400/7757

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 9964/712,3400/7757

Given fractions are 9964/712,3400/7757

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 9964,3400

Greatest Common Factor of Numerators i.e. GCF of 9964,3400 is 4 .

LCM of Denominators means LCM of 712,7757 as per the given fractions.

LCM of 712,7757 is 5522984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9964,3400

GCF of Fractions 9964/712,3400/7757 is 4/5522984

2 9964, 3400
2 4982, 1700
2491, 850

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9964,3400 By Matching Biggest Common Factor Method

Greatest Common Factor of 9964,3400 By Matching Biggest Common Factor Method

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1,2,4,47,53,94,106,188,212,2491,4982,9964

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Greatest Common Factor

We found the factors 9964,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 9964,3400 is 4.

Lets's calculate LCM of 712,7757

Given numbers has no common factors except 1. So, there LCM is their product i.e 5522984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5522984

Therefore, the GCF of Fractions 9964/712,3400/7757 is 4/5522984

Least Common Multiple of 712,7757 with GCF Formula

Least Common Multiple of 712,7757 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 712,7757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,7757) = 1

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

GCF(712,7757) x common factors =1 x 1 = 1

LCM(712,7757) = ( 712 × 7757 ) / 1

LCM(712,7757) = 5522984 / 1

LCM(712,7757) = 5522984


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 9964/712, 3400/7757

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 9964/712, 3400/7757?

Answer: GCF of Numerators as per given numbers 9964/712, 3400/7757 is

GCF of Numerators i.e. for 9964,3400 is 4

LCM of denominators i.e. for 712,7757 is 5522984.

Thus, GCF of Fractions is 4/5522984.Finally, GCF of Fractions for 9964/712, 3400/7757 is 4/5522984.