Greatest Common Factor of 704/87, 760/40, 262/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/87, 760/40, 262/694

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 704/87,760/40,262/694

Given fractions are 704/87,760/40,262/694

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 704,760,262

Greatest Common Factor of Numerators i.e. GCF of 704,760,262 is 2 .

LCM of Denominators means LCM of 87,40,694 as per the given fractions.

LCM of 87,40,694 is 1207560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,760,262

GCF of Fractions 704/87,760/40,262/694 is 2/1207560

2 704, 760, 262
352, 380, 131

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 704,760,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,760,262 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 704,760,262 . The biggest common factor number is the GCF number.
So the greatest common factor 704,760,262 is 2.

Lets's calculate LCM of 87,40,694

2 87, 40, 694
87, 20, 347

∴ So the LCM of the given numbers is 2 x 87 x 20 x 347 = 1207560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1207560

Therefore, the GCF of Fractions 704/87,760/40,262/694 is 2/1207560

Least Common Multiple of 87,40,694 with GCF Formula

Least Common Multiple of 87,40,694 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 87,40,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,40,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,40,694) x common factors =1 x 2 = 2

LCM(87,40,694) = ( 87 × 40 × 694 ) / 2

LCM(87,40,694) = 2415120 / 2

LCM(87,40,694) = 1207560


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 704/87, 760/40, 262/694

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 704/87, 760/40, 262/694?

Answer: GCF of Numerators as per given numbers 704/87, 760/40, 262/694 is

GCF of Numerators i.e. for 704,760,262 is 2

LCM of denominators i.e. for 87,40,694 is 1207560.

Thus, GCF of Fractions is 2/1207560.Finally, GCF of Fractions for 704/87, 760/40, 262/694 is 2/1207560.