Greatest Common Factor of 942/696, 533/700, 366/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 942/696, 533/700, 366/861

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 942/696,533/700,366/861

Given fractions are 942/696,533/700,366/861

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 942,533,366

Greatest Common Factor of Numerators i.e. GCF of 942,533,366 is 1 .

LCM of Denominators means LCM of 696,700,861 as per the given fractions.

LCM of 696,700,861 is 4993800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,533,366

GCF of Fractions 942/696,533/700,366/861 is 1/4993800

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

Greatest Common Factor of 942,533,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,533,366 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 942,533,366 . The biggest common factor number is the GCF number.
So the greatest common factor 942,533,366 is 1.

Lets's calculate LCM of 696,700,861

2 696, 700, 861
2 348, 350, 861
3 174, 175, 861
7 58, 175, 287
58, 25, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 58 x 25 x 41 = 4993800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4993800

Therefore, the GCF of Fractions 942/696,533/700,366/861 is 1/4993800

Least Common Multiple of 696,700,861 with GCF Formula

Least Common Multiple of 696,700,861 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 696,700,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,700,861) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(696,700,861) x common factors =1 x 84 = 84

LCM(696,700,861) = ( 696 × 700 × 861 ) / 84

LCM(696,700,861) = 419479200 / 84

LCM(696,700,861) = 4993800


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 942/696, 533/700, 366/861

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 942/696, 533/700, 366/861?

Answer: GCF of Numerators as per given numbers 942/696, 533/700, 366/861 is

GCF of Numerators i.e. for 942,533,366 is 1

LCM of denominators i.e. for 696,700,861 is 4993800.

Thus, GCF of Fractions is 1/4993800.Finally, GCF of Fractions for 942/696, 533/700, 366/861 is 1/4993800.