Greatest Common Factor of 688/30, 357/48, 960/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/30, 357/48, 960/496

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 688/30,357/48,960/496

Given fractions are 688/30,357/48,960/496

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 688,357,960

Greatest Common Factor of Numerators i.e. GCF of 688,357,960 is 1 .

LCM of Denominators means LCM of 30,48,496 as per the given fractions.

LCM of 30,48,496 is 7440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,357,960

GCF of Fractions 688/30,357/48,960/496 is 1/7440

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

Greatest Common Factor of 688,357,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,357,960 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 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 688,357,960 . The biggest common factor number is the GCF number.
So the greatest common factor 688,357,960 is 1.

Lets's calculate LCM of 30,48,496

2 30, 48, 496
2 15, 24, 248
2 15, 12, 124
2 15, 6, 62
3 15, 3, 31
5, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 31 = 7440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7440

Therefore, the GCF of Fractions 688/30,357/48,960/496 is 1/7440

Least Common Multiple of 30,48,496 with GCF Formula

Least Common Multiple of 30,48,496 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 30,48,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,48,496) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(30,48,496) x common factors =2 x 48 = 96

LCM(30,48,496) = ( 30 × 48 × 496 ) / 96

LCM(30,48,496) = 714240 / 96

LCM(30,48,496) = 7440


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, 357/48, 960/496

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, 357/48, 960/496?

Answer: GCF of Numerators as per given numbers 688/30, 357/48, 960/496 is

GCF of Numerators i.e. for 688,357,960 is 1

LCM of denominators i.e. for 30,48,496 is 7440.

Thus, GCF of Fractions is 1/7440.Finally, GCF of Fractions for 688/30, 357/48, 960/496 is 1/7440.