Greatest Common Factor of 496/722, 7023/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/722, 7023/348

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 496/722,7023/348

Given fractions are 496/722,7023/348

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 496,7023

Greatest Common Factor of Numerators i.e. GCF of 496,7023 is 1 .

LCM of Denominators means LCM of 722,348 as per the given fractions.

LCM of 722,348 is 125628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,7023

GCF of Fractions 496/722,7023/348 is 1/125628

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

Greatest Common Factor of 496,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,7023 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 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1,3,2341,7023

Greatest Common Factor

We found the factors 496,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 496,7023 is 1.

Lets's calculate LCM of 722,348

2 722, 348
361, 174

∴ So the LCM of the given numbers is 2 x 361 x 174 = 125628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125628

Therefore, the GCF of Fractions 496/722,7023/348 is 1/125628

Least Common Multiple of 722,348 with GCF Formula

Least Common Multiple of 722,348 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 722,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,348) = 2

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

GCF(722,348) x common factors =2 x 1 = 2

LCM(722,348) = ( 722 × 348 ) / 2

LCM(722,348) = 251256 / 2

LCM(722,348) = 125628


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 496/722, 7023/348

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 496/722, 7023/348?

Answer: GCF of Numerators as per given numbers 496/722, 7023/348 is

GCF of Numerators i.e. for 496,7023 is 1

LCM of denominators i.e. for 722,348 is 125628.

Thus, GCF of Fractions is 1/125628.Finally, GCF of Fractions for 496/722, 7023/348 is 1/125628.