Greatest Common Factor of 752/770, 707/214, 859/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/770, 707/214, 859/711

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 752/770,707/214,859/711

Given fractions are 752/770,707/214,859/711

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 752,707,859

Greatest Common Factor of Numerators i.e. GCF of 752,707,859 is 1 .

LCM of Denominators means LCM of 770,214,711 as per the given fractions.

LCM of 770,214,711 is 58579290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,707,859

GCF of Fractions 752/770,707/214,859/711 is 1/58579290

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

Greatest Common Factor of 752,707,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,707,859 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 752,707,859 . The biggest common factor number is the GCF number.
So the greatest common factor 752,707,859 is 1.

Lets's calculate LCM of 770,214,711

2 770, 214, 711
385, 107, 711

∴ So the LCM of the given numbers is 2 x 385 x 107 x 711 = 58579290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58579290

Therefore, the GCF of Fractions 752/770,707/214,859/711 is 1/58579290

Least Common Multiple of 770,214,711 with GCF Formula

Least Common Multiple of 770,214,711 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 770,214,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,214,711) = 1

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

GCF(770,214,711) x common factors =1 x 2 = 2

LCM(770,214,711) = ( 770 × 214 × 711 ) / 2

LCM(770,214,711) = 117158580 / 2

LCM(770,214,711) = 58579290


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 752/770, 707/214, 859/711

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 752/770, 707/214, 859/711?

Answer: GCF of Numerators as per given numbers 752/770, 707/214, 859/711 is

GCF of Numerators i.e. for 752,707,859 is 1

LCM of denominators i.e. for 770,214,711 is 58579290.

Thus, GCF of Fractions is 1/58579290.Finally, GCF of Fractions for 752/770, 707/214, 859/711 is 1/58579290.