Greatest Common Factor of 700/784, 662/393, 123/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/784, 662/393, 123/158

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 700/784,662/393,123/158

Given fractions are 700/784,662/393,123/158

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 700,662,123

Greatest Common Factor of Numerators i.e. GCF of 700,662,123 is 1 .

LCM of Denominators means LCM of 784,393,158 as per the given fractions.

LCM of 784,393,158 is 24340848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,662,123

GCF of Fractions 700/784,662/393,123/158 is 1/24340848

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

Greatest Common Factor of 700,662,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,662,123 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 700,662,123 . The biggest common factor number is the GCF number.
So the greatest common factor 700,662,123 is 1.

Lets's calculate LCM of 784,393,158

2 784, 393, 158
392, 393, 79

∴ So the LCM of the given numbers is 2 x 392 x 393 x 79 = 24340848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24340848

Therefore, the GCF of Fractions 700/784,662/393,123/158 is 1/24340848

Least Common Multiple of 784,393,158 with GCF Formula

Least Common Multiple of 784,393,158 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 784,393,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,393,158) = 1

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

GCF(784,393,158) x common factors =1 x 2 = 2

LCM(784,393,158) = ( 784 × 393 × 158 ) / 2

LCM(784,393,158) = 48681696 / 2

LCM(784,393,158) = 24340848


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 700/784, 662/393, 123/158

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 700/784, 662/393, 123/158?

Answer: GCF of Numerators as per given numbers 700/784, 662/393, 123/158 is

GCF of Numerators i.e. for 700,662,123 is 1

LCM of denominators i.e. for 784,393,158 is 24340848.

Thus, GCF of Fractions is 1/24340848.Finally, GCF of Fractions for 700/784, 662/393, 123/158 is 1/24340848.