Greatest Common Factor of 5506/64, 8582/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5506/64, 8582/429

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 5506/64,8582/429

Given fractions are 5506/64,8582/429

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 5506,8582

Greatest Common Factor of Numerators i.e. GCF of 5506,8582 is 2 .

LCM of Denominators means LCM of 64,429 as per the given fractions.

LCM of 64,429 is 27456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5506,8582

GCF of Fractions 5506/64,8582/429 is 2/27456

2 5506, 8582
2753, 4291

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

Greatest Common Factor of 5506,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 5506,8582 By Matching Biggest Common Factor Method

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1,2,2753,5506

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 5506,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 5506,8582 is 2.

Lets's calculate LCM of 64,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 27456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27456

Therefore, the GCF of Fractions 5506/64,8582/429 is 2/27456

Least Common Multiple of 64,429 with GCF Formula

Least Common Multiple of 64,429 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 64,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,429) = 1

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

GCF(64,429) x common factors =1 x 1 = 1

LCM(64,429) = ( 64 × 429 ) / 1

LCM(64,429) = 27456 / 1

LCM(64,429) = 27456


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 5506/64, 8582/429

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 5506/64, 8582/429?

Answer: GCF of Numerators as per given numbers 5506/64, 8582/429 is

GCF of Numerators i.e. for 5506,8582 is 2

LCM of denominators i.e. for 64,429 is 27456.

Thus, GCF of Fractions is 2/27456.Finally, GCF of Fractions for 5506/64, 8582/429 is 2/27456.