Greatest Common Factor of 757/627, 209/572, 506/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 757/627, 209/572, 506/554

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 757/627,209/572,506/554

Given fractions are 757/627,209/572,506/554

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 757,209,506

Greatest Common Factor of Numerators i.e. GCF of 757,209,506 is 1 .

LCM of Denominators means LCM of 627,572,554 as per the given fractions.

LCM of 627,572,554 is 9031308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 757,209,506

GCF of Fractions 757/627,209/572,506/554 is 1/9031308

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

Greatest Common Factor of 757,209,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,209,506 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 757,209,506 . The biggest common factor number is the GCF number.
So the greatest common factor 757,209,506 is 1.

Lets's calculate LCM of 627,572,554

2 627, 572, 554
11 627, 286, 277
57, 26, 277

∴ So the LCM of the given numbers is 2 x 11 x 57 x 26 x 277 = 9031308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9031308

Therefore, the GCF of Fractions 757/627,209/572,506/554 is 1/9031308

Least Common Multiple of 627,572,554 with GCF Formula

Least Common Multiple of 627,572,554 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 627,572,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,572,554) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(627,572,554) x common factors =1 x 22 = 22

LCM(627,572,554) = ( 627 × 572 × 554 ) / 22

LCM(627,572,554) = 198688776 / 22

LCM(627,572,554) = 9031308


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 757/627, 209/572, 506/554

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 757/627, 209/572, 506/554?

Answer: GCF of Numerators as per given numbers 757/627, 209/572, 506/554 is

GCF of Numerators i.e. for 757,209,506 is 1

LCM of denominators i.e. for 627,572,554 is 9031308.

Thus, GCF of Fractions is 1/9031308.Finally, GCF of Fractions for 757/627, 209/572, 506/554 is 1/9031308.