Greatest Common Factor of 49/621, 53/312, 528/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/621, 53/312, 528/573

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 49/621,53/312,528/573

Given fractions are 49/621,53/312,528/573

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 49,53,528

Greatest Common Factor of Numerators i.e. GCF of 49,53,528 is 1 .

LCM of Denominators means LCM of 621,312,573 as per the given fractions.

LCM of 621,312,573 is 12335544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,53,528

GCF of Fractions 49/621,53/312,528/573 is 1/12335544

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

Greatest Common Factor of 49,53,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,53,528 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 49,53,528 . The biggest common factor number is the GCF number.
So the greatest common factor 49,53,528 is 1.

Lets's calculate LCM of 621,312,573

3 621, 312, 573
207, 104, 191

∴ So the LCM of the given numbers is 3 x 207 x 104 x 191 = 12335544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12335544

Therefore, the GCF of Fractions 49/621,53/312,528/573 is 1/12335544

Least Common Multiple of 621,312,573 with GCF Formula

Least Common Multiple of 621,312,573 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 621,312,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,312,573) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(621,312,573) x common factors =3 x 3 = 9

LCM(621,312,573) = ( 621 × 312 × 573 ) / 9

LCM(621,312,573) = 111019896 / 9

LCM(621,312,573) = 12335544


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 49/621, 53/312, 528/573

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 49/621, 53/312, 528/573?

Answer: GCF of Numerators as per given numbers 49/621, 53/312, 528/573 is

GCF of Numerators i.e. for 49,53,528 is 1

LCM of denominators i.e. for 621,312,573 is 12335544.

Thus, GCF of Fractions is 1/12335544.Finally, GCF of Fractions for 49/621, 53/312, 528/573 is 1/12335544.