Greatest Common Factor of 496/878, 9730/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/878, 9730/726

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 496/878,9730/726

Given fractions are 496/878,9730/726

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 496,9730

Greatest Common Factor of Numerators i.e. GCF of 496,9730 is 2 .

LCM of Denominators means LCM of 878,726 as per the given fractions.

LCM of 878,726 is 318714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,9730

GCF of Fractions 496/878,9730/726 is 2/318714

2 496, 9730
248, 4865

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

Greatest Common Factor of 496,9730 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,9730 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 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730

Greatest Common Factor

We found the factors 496,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 496,9730 is 2.

Lets's calculate LCM of 878,726

2 878, 726
439, 363

∴ So the LCM of the given numbers is 2 x 439 x 363 = 318714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318714

Therefore, the GCF of Fractions 496/878,9730/726 is 2/318714

Least Common Multiple of 878,726 with GCF Formula

Least Common Multiple of 878,726 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 878,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,726) = 2

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

GCF(878,726) x common factors =2 x 1 = 2

LCM(878,726) = ( 878 × 726 ) / 2

LCM(878,726) = 637428 / 2

LCM(878,726) = 318714


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 496/878, 9730/726

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 496/878, 9730/726?

Answer: GCF of Numerators as per given numbers 496/878, 9730/726 is

GCF of Numerators i.e. for 496,9730 is 2

LCM of denominators i.e. for 878,726 is 318714.

Thus, GCF of Fractions is 2/318714.Finally, GCF of Fractions for 496/878, 9730/726 is 2/318714.