Greatest Common Factor of 682/52, 928/62, 445/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/52, 928/62, 445/356

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 682/52,928/62,445/356

Given fractions are 682/52,928/62,445/356

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 682,928,445

Greatest Common Factor of Numerators i.e. GCF of 682,928,445 is 1 .

LCM of Denominators means LCM of 52,62,356 as per the given fractions.

LCM of 52,62,356 is 143468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,928,445

GCF of Fractions 682/52,928/62,445/356 is 1/143468

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

Greatest Common Factor of 682,928,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,928,445 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 682,928,445 . The biggest common factor number is the GCF number.
So the greatest common factor 682,928,445 is 1.

Lets's calculate LCM of 52,62,356

2 52, 62, 356
2 26, 31, 178
13, 31, 89

∴ So the LCM of the given numbers is 2 x 2 x 13 x 31 x 89 = 143468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143468

Therefore, the GCF of Fractions 682/52,928/62,445/356 is 1/143468

Least Common Multiple of 52,62,356 with GCF Formula

Least Common Multiple of 52,62,356 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 52,62,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,62,356) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(52,62,356) x common factors =2 x 4 = 8

LCM(52,62,356) = ( 52 × 62 × 356 ) / 8

LCM(52,62,356) = 1147744 / 8

LCM(52,62,356) = 143468


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 682/52, 928/62, 445/356

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 682/52, 928/62, 445/356?

Answer: GCF of Numerators as per given numbers 682/52, 928/62, 445/356 is

GCF of Numerators i.e. for 682,928,445 is 1

LCM of denominators i.e. for 52,62,356 is 143468.

Thus, GCF of Fractions is 1/143468.Finally, GCF of Fractions for 682/52, 928/62, 445/356 is 1/143468.