Greatest Common Factor of 703/38, 370/96, 827/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 703/38, 370/96, 827/564

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 703/38,370/96,827/564

Given fractions are 703/38,370/96,827/564

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 703,370,827

Greatest Common Factor of Numerators i.e. GCF of 703,370,827 is 1 .

LCM of Denominators means LCM of 38,96,564 as per the given fractions.

LCM of 38,96,564 is 85728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 703,370,827

GCF of Fractions 703/38,370/96,827/564 is 1/85728

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

Greatest Common Factor of 703,370,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,370,827 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 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 703,370,827 . The biggest common factor number is the GCF number.
So the greatest common factor 703,370,827 is 1.

Lets's calculate LCM of 38,96,564

2 38, 96, 564
2 19, 48, 282
3 19, 24, 141
19, 8, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 8 x 47 = 85728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85728

Therefore, the GCF of Fractions 703/38,370/96,827/564 is 1/85728

Least Common Multiple of 38,96,564 with GCF Formula

Least Common Multiple of 38,96,564 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 38,96,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,96,564) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(38,96,564) x common factors =2 x 12 = 24

LCM(38,96,564) = ( 38 × 96 × 564 ) / 24

LCM(38,96,564) = 2057472 / 24

LCM(38,96,564) = 85728


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 703/38, 370/96, 827/564

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 703/38, 370/96, 827/564?

Answer: GCF of Numerators as per given numbers 703/38, 370/96, 827/564 is

GCF of Numerators i.e. for 703,370,827 is 1

LCM of denominators i.e. for 38,96,564 is 85728.

Thus, GCF of Fractions is 1/85728.Finally, GCF of Fractions for 703/38, 370/96, 827/564 is 1/85728.