Greatest Common Factor of 9740/951, 2716/3650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9740/951, 2716/3650

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 9740/951,2716/3650

Given fractions are 9740/951,2716/3650

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 9740,2716

Greatest Common Factor of Numerators i.e. GCF of 9740,2716 is 4 .

LCM of Denominators means LCM of 951,3650 as per the given fractions.

LCM of 951,3650 is 3471150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9740,2716

GCF of Fractions 9740/951,2716/3650 is 4/3471150

2 9740, 2716
2 4870, 1358
2435, 679

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

Greatest Common Factor of 9740,2716 By Matching Biggest Common Factor Method

Greatest Common Factor of 9740,2716 By Matching Biggest Common Factor Method

Factors of 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1,2,4,5,10,20,487,974,1948,2435,4870,9740

Factors of 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1,2,4,7,14,28,97,194,388,679,1358,2716

Greatest Common Factor

We found the factors 9740,2716 . The biggest common factor number is the GCF number.
So the greatest common factor 9740,2716 is 4.

Lets's calculate LCM of 951,3650

Given numbers has no common factors except 1. So, there LCM is their product i.e 3471150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3471150

Therefore, the GCF of Fractions 9740/951,2716/3650 is 4/3471150

Least Common Multiple of 951,3650 with GCF Formula

Least Common Multiple of 951,3650 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 951,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,3650) = 1

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

GCF(951,3650) x common factors =1 x 1 = 1

LCM(951,3650) = ( 951 × 3650 ) / 1

LCM(951,3650) = 3471150 / 1

LCM(951,3650) = 3471150


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 9740/951, 2716/3650

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 9740/951, 2716/3650?

Answer: GCF of Numerators as per given numbers 9740/951, 2716/3650 is

GCF of Numerators i.e. for 9740,2716 is 4

LCM of denominators i.e. for 951,3650 is 3471150.

Thus, GCF of Fractions is 4/3471150.Finally, GCF of Fractions for 9740/951, 2716/3650 is 4/3471150.