Greatest Common Factor of 4529/648, 8358/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4529/648, 8358/776

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 4529/648,8358/776

Given fractions are 4529/648,8358/776

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 4529,8358

Greatest Common Factor of Numerators i.e. GCF of 4529,8358 is 7 .

LCM of Denominators means LCM of 648,776 as per the given fractions.

LCM of 648,776 is 62856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4529,8358

GCF of Fractions 4529/648,8358/776 is 7/62856

7 4529, 8358
647, 1194

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4529,8358 By Matching Biggest Common Factor Method

Greatest Common Factor of 4529,8358 By Matching Biggest Common Factor Method

Factors of 4529

List of positive integer factors of 4529 that divides 4529 without a remainder.

1,7,647,4529

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358

Greatest Common Factor

We found the factors 4529,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 4529,8358 is 7.

Lets's calculate LCM of 648,776

2 648, 776
2 324, 388
2 162, 194
81, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 97 = 62856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/62856

Therefore, the GCF of Fractions 4529/648,8358/776 is 7/62856

Least Common Multiple of 648,776 with GCF Formula

Least Common Multiple of 648,776 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 648,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,776) = 8

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

GCF(648,776) x common factors =8 x 1 = 8

LCM(648,776) = ( 648 × 776 ) / 8

LCM(648,776) = 502848 / 8

LCM(648,776) = 62856


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 4529/648, 8358/776

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 4529/648, 8358/776?

Answer: GCF of Numerators as per given numbers 4529/648, 8358/776 is

GCF of Numerators i.e. for 4529,8358 is 7

LCM of denominators i.e. for 648,776 is 62856.

Thus, GCF of Fractions is 7/62856.Finally, GCF of Fractions for 4529/648, 8358/776 is 7/62856.