Greatest Common Factor of 2957/229, 7980/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2957/229, 7980/463

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 2957/229,7980/463

Given fractions are 2957/229,7980/463

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 2957,7980

Greatest Common Factor of Numerators i.e. GCF of 2957,7980 is 1 .

LCM of Denominators means LCM of 229,463 as per the given fractions.

LCM of 229,463 is 106027 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2957,7980

GCF of Fractions 2957/229,7980/463 is 1/106027

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2957,7980 By Matching Biggest Common Factor Method

Greatest Common Factor of 2957,7980 By Matching Biggest Common Factor Method

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1,2957

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors 2957,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 2957,7980 is 1.

Lets's calculate LCM of 229,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 106027

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106027

Therefore, the GCF of Fractions 2957/229,7980/463 is 1/106027

Least Common Multiple of 229,463 with GCF Formula

Least Common Multiple of 229,463 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 229,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,463) = 1

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

GCF(229,463) x common factors =1 x 1 = 1

LCM(229,463) = ( 229 × 463 ) / 1

LCM(229,463) = 106027 / 1

LCM(229,463) = 106027


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 2957/229, 7980/463

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 2957/229, 7980/463?

Answer: GCF of Numerators as per given numbers 2957/229, 7980/463 is

GCF of Numerators i.e. for 2957,7980 is 1

LCM of denominators i.e. for 229,463 is 106027.

Thus, GCF of Fractions is 1/106027.Finally, GCF of Fractions for 2957/229, 7980/463 is 1/106027.