Greatest Common Factor of 688/30, 458/35, 344/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/30, 458/35, 344/111

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 688/30,458/35,344/111

Given fractions are 688/30,458/35,344/111

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 688,458,344

Greatest Common Factor of Numerators i.e. GCF of 688,458,344 is 2 .

LCM of Denominators means LCM of 30,35,111 as per the given fractions.

LCM of 30,35,111 is 7770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,458,344

GCF of Fractions 688/30,458/35,344/111 is 2/7770

2 688, 458, 344
344, 229, 172

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

Greatest Common Factor of 688,458,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,458,344 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 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

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

Greatest Common Factor

We found the factors 688,458,344 . The biggest common factor number is the GCF number.
So the greatest common factor 688,458,344 is 2.

Lets's calculate LCM of 30,35,111

3 30, 35, 111
5 10, 35, 37
2, 7, 37

∴ So the LCM of the given numbers is 3 x 5 x 2 x 7 x 37 = 7770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7770

Therefore, the GCF of Fractions 688/30,458/35,344/111 is 2/7770

Least Common Multiple of 30,35,111 with GCF Formula

Least Common Multiple of 30,35,111 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 30,35,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,35,111) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(30,35,111) x common factors =1 x 15 = 15

LCM(30,35,111) = ( 30 × 35 × 111 ) / 15

LCM(30,35,111) = 116550 / 15

LCM(30,35,111) = 7770


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 688/30, 458/35, 344/111

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 688/30, 458/35, 344/111?

Answer: GCF of Numerators as per given numbers 688/30, 458/35, 344/111 is

GCF of Numerators i.e. for 688,458,344 is 2

LCM of denominators i.e. for 30,35,111 is 7770.

Thus, GCF of Fractions is 2/7770.Finally, GCF of Fractions for 688/30, 458/35, 344/111 is 2/7770.