Greatest Common Factor of 688/986, 6734/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/986, 6734/624

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 688/986,6734/624

Given fractions are 688/986,6734/624

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 688,6734

Greatest Common Factor of Numerators i.e. GCF of 688,6734 is 2 .

LCM of Denominators means LCM of 986,624 as per the given fractions.

LCM of 986,624 is 307632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,6734

GCF of Fractions 688/986,6734/624 is 2/307632

2 688, 6734
344, 3367

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

Greatest Common Factor of 688,6734 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,6734 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 688,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 688,6734 is 2.

Lets's calculate LCM of 986,624

2 986, 624
493, 312

∴ So the LCM of the given numbers is 2 x 493 x 312 = 307632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/307632

Therefore, the GCF of Fractions 688/986,6734/624 is 2/307632

Least Common Multiple of 986,624 with GCF Formula

Least Common Multiple of 986,624 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 986,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,624) = 2

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

GCF(986,624) x common factors =2 x 1 = 2

LCM(986,624) = ( 986 × 624 ) / 2

LCM(986,624) = 615264 / 2

LCM(986,624) = 307632


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 688/986, 6734/624

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 688/986, 6734/624?

Answer: GCF of Numerators as per given numbers 688/986, 6734/624 is

GCF of Numerators i.e. for 688,6734 is 2

LCM of denominators i.e. for 986,624 is 307632.

Thus, GCF of Fractions is 2/307632.Finally, GCF of Fractions for 688/986, 6734/624 is 2/307632.