Greatest Common Factor of 703/87, 772/76, 393/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 703/87, 772/76, 393/348

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 703/87,772/76,393/348

Given fractions are 703/87,772/76,393/348

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 703,772,393

Greatest Common Factor of Numerators i.e. GCF of 703,772,393 is 1 .

LCM of Denominators means LCM of 87,76,348 as per the given fractions.

LCM of 87,76,348 is 6612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 703,772,393

GCF of Fractions 703/87,772/76,393/348 is 1/6612

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

Greatest Common Factor of 703,772,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,772,393 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 703,772,393 . The biggest common factor number is the GCF number.
So the greatest common factor 703,772,393 is 1.

Lets's calculate LCM of 87,76,348

2 87, 76, 348
2 87, 38, 174
3 87, 19, 87
29 29, 19, 29
1, 19, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 19 x 1 = 6612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6612

Therefore, the GCF of Fractions 703/87,772/76,393/348 is 1/6612

Least Common Multiple of 87,76,348 with GCF Formula

Least Common Multiple of 87,76,348 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 87,76,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,76,348) = 1

common factors(in case of two or more numbers have common factors) = 348

GCF(87,76,348) x common factors =1 x 348 = 348

LCM(87,76,348) = ( 87 × 76 × 348 ) / 348

LCM(87,76,348) = 2300976 / 348

LCM(87,76,348) = 6612


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 703/87, 772/76, 393/348

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 703/87, 772/76, 393/348?

Answer: GCF of Numerators as per given numbers 703/87, 772/76, 393/348 is

GCF of Numerators i.e. for 703,772,393 is 1

LCM of denominators i.e. for 87,76,348 is 6612.

Thus, GCF of Fractions is 1/6612.Finally, GCF of Fractions for 703/87, 772/76, 393/348 is 1/6612.