Greatest Common Factor of 632/739, 6576/8247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/739, 6576/8247

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 632/739,6576/8247

Given fractions are 632/739,6576/8247

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 632,6576

Greatest Common Factor of Numerators i.e. GCF of 632,6576 is 8 .

LCM of Denominators means LCM of 739,8247 as per the given fractions.

LCM of 739,8247 is 6094533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,6576

GCF of Fractions 632/739,6576/8247 is 8/6094533

2 632, 6576
2 316, 3288
2 158, 1644
79, 822

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 632,6576 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,6576 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 6576

List of positive integer factors of 6576 that divides 6576 without a remainder.

1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576

Greatest Common Factor

We found the factors 632,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 632,6576 is 8.

Lets's calculate LCM of 739,8247

Given numbers has no common factors except 1. So, there LCM is their product i.e 6094533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6094533

Therefore, the GCF of Fractions 632/739,6576/8247 is 8/6094533

Least Common Multiple of 739,8247 with GCF Formula

Least Common Multiple of 739,8247 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 739,8247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,8247) = 1

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

GCF(739,8247) x common factors =1 x 1 = 1

LCM(739,8247) = ( 739 × 8247 ) / 1

LCM(739,8247) = 6094533 / 1

LCM(739,8247) = 6094533


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 632/739, 6576/8247

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 632/739, 6576/8247?

Answer: GCF of Numerators as per given numbers 632/739, 6576/8247 is

GCF of Numerators i.e. for 632,6576 is 8

LCM of denominators i.e. for 739,8247 is 6094533.

Thus, GCF of Fractions is 8/6094533.Finally, GCF of Fractions for 632/739, 6576/8247 is 8/6094533.