Greatest Common Factor of 85/714, 502/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/714, 502/664

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 85/714,502/664

Given fractions are 85/714,502/664

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 85,502

Greatest Common Factor of Numerators i.e. GCF of 85,502 is 1 .

LCM of Denominators means LCM of 714,664 as per the given fractions.

LCM of 714,664 is 237048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,502

GCF of Fractions 85/714,502/664 is 1/237048

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

Greatest Common Factor of 85,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,502 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 85,502 . The biggest common factor number is the GCF number.
So the greatest common factor 85,502 is 1.

Lets's calculate LCM of 714,664

2 714, 664
357, 332

∴ So the LCM of the given numbers is 2 x 357 x 332 = 237048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237048

Therefore, the GCF of Fractions 85/714,502/664 is 1/237048

Least Common Multiple of 714,664 with GCF Formula

Least Common Multiple of 714,664 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 714,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,664) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(714,664) x common factors =2 x 1 = 2

LCM(714,664) = ( 714 × 664 ) / 2

LCM(714,664) = 474096 / 2

LCM(714,664) = 237048


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 85/714, 502/664

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 85/714, 502/664?

Answer: GCF of Numerators as per given numbers 85/714, 502/664 is

GCF of Numerators i.e. for 85,502 is 1

LCM of denominators i.e. for 714,664 is 237048.

Thus, GCF of Fractions is 1/237048.Finally, GCF of Fractions for 85/714, 502/664 is 1/237048.