Greatest Common Factor of 496/242, 7628/1561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/242, 7628/1561

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 496/242,7628/1561

Given fractions are 496/242,7628/1561

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 496,7628

Greatest Common Factor of Numerators i.e. GCF of 496,7628 is 4 .

LCM of Denominators means LCM of 242,1561 as per the given fractions.

LCM of 242,1561 is 377762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,7628

GCF of Fractions 496/242,7628/1561 is 4/377762

2 496, 7628
2 248, 3814
124, 1907

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

Greatest Common Factor of 496,7628 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,7628 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors 496,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 496,7628 is 4.

Lets's calculate LCM of 242,1561

Given numbers has no common factors except 1. So, there LCM is their product i.e 377762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/377762

Therefore, the GCF of Fractions 496/242,7628/1561 is 4/377762

Least Common Multiple of 242,1561 with GCF Formula

Least Common Multiple of 242,1561 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 242,1561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,1561) = 1

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

GCF(242,1561) x common factors =1 x 1 = 1

LCM(242,1561) = ( 242 × 1561 ) / 1

LCM(242,1561) = 377762 / 1

LCM(242,1561) = 377762


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 496/242, 7628/1561

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 496/242, 7628/1561?

Answer: GCF of Numerators as per given numbers 496/242, 7628/1561 is

GCF of Numerators i.e. for 496,7628 is 4

LCM of denominators i.e. for 242,1561 is 377762.

Thus, GCF of Fractions is 4/377762.Finally, GCF of Fractions for 496/242, 7628/1561 is 4/377762.