Greatest Common Factor of 4564/430, 5149/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4564/430, 5149/995

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 4564/430,5149/995

Given fractions are 4564/430,5149/995

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 4564,5149

Greatest Common Factor of Numerators i.e. GCF of 4564,5149 is 1 .

LCM of Denominators means LCM of 430,995 as per the given fractions.

LCM of 430,995 is 85570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4564,5149

GCF of Fractions 4564/430,5149/995 is 1/85570

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

Greatest Common Factor of 4564,5149 By Matching Biggest Common Factor Method

Greatest Common Factor of 4564,5149 By Matching Biggest Common Factor Method

Factors of 4564

List of positive integer factors of 4564 that divides 4564 without a remainder.

1,2,4,7,14,28,163,326,652,1141,2282,4564

Factors of 5149

List of positive integer factors of 5149 that divides 5149 without a remainder.

1,19,271,5149

Greatest Common Factor

We found the factors 4564,5149 . The biggest common factor number is the GCF number.
So the greatest common factor 4564,5149 is 1.

Lets's calculate LCM of 430,995

5 430, 995
86, 199

∴ So the LCM of the given numbers is 5 x 86 x 199 = 85570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85570

Therefore, the GCF of Fractions 4564/430,5149/995 is 1/85570

Least Common Multiple of 430,995 with GCF Formula

Least Common Multiple of 430,995 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 430,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,995) = 5

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

GCF(430,995) x common factors =5 x 1 = 5

LCM(430,995) = ( 430 × 995 ) / 5

LCM(430,995) = 427850 / 5

LCM(430,995) = 85570


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 4564/430, 5149/995

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 4564/430, 5149/995?

Answer: GCF of Numerators as per given numbers 4564/430, 5149/995 is

GCF of Numerators i.e. for 4564,5149 is 1

LCM of denominators i.e. for 430,995 is 85570.

Thus, GCF of Fractions is 1/85570.Finally, GCF of Fractions for 4564/430, 5149/995 is 1/85570.