Greatest Common Factor of 3164/720, 6712/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3164/720, 6712/100

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 3164/720,6712/100

Given fractions are 3164/720,6712/100

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 3164,6712

Greatest Common Factor of Numerators i.e. GCF of 3164,6712 is 4 .

LCM of Denominators means LCM of 720,100 as per the given fractions.

LCM of 720,100 is 3600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3164,6712

GCF of Fractions 3164/720,6712/100 is 4/3600

2 3164, 6712
2 1582, 3356
791, 1678

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

Greatest Common Factor of 3164,6712 By Matching Biggest Common Factor Method

Greatest Common Factor of 3164,6712 By Matching Biggest Common Factor Method

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1,2,4,8,839,1678,3356,6712

Greatest Common Factor

We found the factors 3164,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 3164,6712 is 4.

Lets's calculate LCM of 720,100

2 720, 100
2 360, 50
5 180, 25
36, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 36 x 5 = 3600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3600

Therefore, the GCF of Fractions 3164/720,6712/100 is 4/3600

Least Common Multiple of 720,100 with GCF Formula

Least Common Multiple of 720,100 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 720,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,100) = 20

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

GCF(720,100) x common factors =20 x 1 = 20

LCM(720,100) = ( 720 × 100 ) / 20

LCM(720,100) = 72000 / 20

LCM(720,100) = 3600


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 3164/720, 6712/100

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 3164/720, 6712/100?

Answer: GCF of Numerators as per given numbers 3164/720, 6712/100 is

GCF of Numerators i.e. for 3164,6712 is 4

LCM of denominators i.e. for 720,100 is 3600.

Thus, GCF of Fractions is 4/3600.Finally, GCF of Fractions for 3164/720, 6712/100 is 4/3600.