Greatest Common Factor of 402/273, 973/634, 552/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 402/273, 973/634, 552/700

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 402/273,973/634,552/700

Given fractions are 402/273,973/634,552/700

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 402,973,552

Greatest Common Factor of Numerators i.e. GCF of 402,973,552 is 1 .

LCM of Denominators means LCM of 273,634,700 as per the given fractions.

LCM of 273,634,700 is 8654100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 402,973,552

GCF of Fractions 402/273,973/634,552/700 is 1/8654100

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

Greatest Common Factor of 402,973,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,973,552 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 402,973,552 . The biggest common factor number is the GCF number.
So the greatest common factor 402,973,552 is 1.

Lets's calculate LCM of 273,634,700

2 273, 634, 700
7 273, 317, 350
39, 317, 50

∴ So the LCM of the given numbers is 2 x 7 x 39 x 317 x 50 = 8654100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8654100

Therefore, the GCF of Fractions 402/273,973/634,552/700 is 1/8654100

Least Common Multiple of 273,634,700 with GCF Formula

Least Common Multiple of 273,634,700 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 273,634,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,634,700) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(273,634,700) x common factors =1 x 14 = 14

LCM(273,634,700) = ( 273 × 634 × 700 ) / 14

LCM(273,634,700) = 121157400 / 14

LCM(273,634,700) = 8654100


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 402/273, 973/634, 552/700

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 402/273, 973/634, 552/700?

Answer: GCF of Numerators as per given numbers 402/273, 973/634, 552/700 is

GCF of Numerators i.e. for 402,973,552 is 1

LCM of denominators i.e. for 273,634,700 is 8654100.

Thus, GCF of Fractions is 1/8654100.Finally, GCF of Fractions for 402/273, 973/634, 552/700 is 1/8654100.