Greatest Common Factor of 688/350, 827/691, 544/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/350, 827/691, 544/216

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 688/350,827/691,544/216

Given fractions are 688/350,827/691,544/216

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 688,827,544

Greatest Common Factor of Numerators i.e. GCF of 688,827,544 is 1 .

LCM of Denominators means LCM of 350,691,216 as per the given fractions.

LCM of 350,691,216 is 26119800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,827,544

GCF of Fractions 688/350,827/691,544/216 is 1/26119800

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

Greatest Common Factor of 688,827,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,827,544 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 827

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

1,827

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 688,827,544 . The biggest common factor number is the GCF number.
So the greatest common factor 688,827,544 is 1.

Lets's calculate LCM of 350,691,216

2 350, 691, 216
175, 691, 108

∴ So the LCM of the given numbers is 2 x 175 x 691 x 108 = 26119800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26119800

Therefore, the GCF of Fractions 688/350,827/691,544/216 is 1/26119800

Least Common Multiple of 350,691,216 with GCF Formula

Least Common Multiple of 350,691,216 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 350,691,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,691,216) = 1

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

GCF(350,691,216) x common factors =1 x 2 = 2

LCM(350,691,216) = ( 350 × 691 × 216 ) / 2

LCM(350,691,216) = 52239600 / 2

LCM(350,691,216) = 26119800


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 688/350, 827/691, 544/216

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 688/350, 827/691, 544/216?

Answer: GCF of Numerators as per given numbers 688/350, 827/691, 544/216 is

GCF of Numerators i.e. for 688,827,544 is 1

LCM of denominators i.e. for 350,691,216 is 26119800.

Thus, GCF of Fractions is 1/26119800.Finally, GCF of Fractions for 688/350, 827/691, 544/216 is 1/26119800.