Greatest Common Factor of 1529/47, 8313/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1529/47, 8313/549

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 1529/47,8313/549

Given fractions are 1529/47,8313/549

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 1529,8313

Greatest Common Factor of Numerators i.e. GCF of 1529,8313 is 1 .

LCM of Denominators means LCM of 47,549 as per the given fractions.

LCM of 47,549 is 25803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1529,8313

GCF of Fractions 1529/47,8313/549 is 1/25803

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

Greatest Common Factor of 1529,8313 By Matching Biggest Common Factor Method

Greatest Common Factor of 1529,8313 By Matching Biggest Common Factor Method

Factors of 1529

List of positive integer factors of 1529 that divides 1529 without a remainder.

1,11,139,1529

Factors of 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1,3,17,51,163,489,2771,8313

Greatest Common Factor

We found the factors 1529,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 1529,8313 is 1.

Lets's calculate LCM of 47,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 25803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25803

Therefore, the GCF of Fractions 1529/47,8313/549 is 1/25803

Least Common Multiple of 47,549 with GCF Formula

Least Common Multiple of 47,549 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 47,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,549) = 1

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

GCF(47,549) x common factors =1 x 1 = 1

LCM(47,549) = ( 47 × 549 ) / 1

LCM(47,549) = 25803 / 1

LCM(47,549) = 25803


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 1529/47, 8313/549

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 1529/47, 8313/549?

Answer: GCF of Numerators as per given numbers 1529/47, 8313/549 is

GCF of Numerators i.e. for 1529,8313 is 1

LCM of denominators i.e. for 47,549 is 25803.

Thus, GCF of Fractions is 1/25803.Finally, GCF of Fractions for 1529/47, 8313/549 is 1/25803.