Greatest Common Factor of 5077/170, 4572/2645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5077/170, 4572/2645

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 5077/170,4572/2645

Given fractions are 5077/170,4572/2645

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 5077,4572

Greatest Common Factor of Numerators i.e. GCF of 5077,4572 is 1 .

LCM of Denominators means LCM of 170,2645 as per the given fractions.

LCM of 170,2645 is 89930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5077,4572

GCF of Fractions 5077/170,4572/2645 is 1/89930

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

Greatest Common Factor of 5077,4572 By Matching Biggest Common Factor Method

Greatest Common Factor of 5077,4572 By Matching Biggest Common Factor Method

Factors of 5077

List of positive integer factors of 5077 that divides 5077 without a remainder.

1,5077

Factors of 4572

List of positive integer factors of 4572 that divides 4572 without a remainder.

1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572

Greatest Common Factor

We found the factors 5077,4572 . The biggest common factor number is the GCF number.
So the greatest common factor 5077,4572 is 1.


Lets's calculate LCM of 170,2645

5 170, 2645
34, 529

∴ So the LCM of the given numbers is 5 x 34 x 529 = 89930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89930

Therefore, the GCF of Fractions 5077/170,4572/2645 is 1/89930

Least Common Multiple of 170,2645 with GCF Formula

Least Common Multiple of 170,2645 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 170,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,2645) = 5

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

GCF(170,2645) x common factors =5 x 1 = 5

LCM(170,2645) = ( 170 × 2645 ) / 5

LCM(170,2645) = 449650 / 5

LCM(170,2645) = 89930


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5077/170, 4572/2645

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 5077/170, 4572/2645?

Answer: GCF of Numerators as per given numbers 5077/170, 4572/2645 is

GCF of Numerators i.e. for 5077,4572 is 1

LCM of denominators i.e. for 170,2645 is 89930.

Thus, GCF of Fractions is 1/89930.Finally, GCF of Fractions for 5077/170, 4572/2645 is 1/89930.