Greatest Common Factor of 147/2812, 157/2604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/2812, 157/2604

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 147/2812,157/2604

Given fractions are 147/2812,157/2604

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 147,157

Greatest Common Factor of Numerators i.e. GCF of 147,157 is 1 .

LCM of Denominators means LCM of 2812,2604 as per the given fractions.

LCM of 2812,2604 is 1830612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,157

GCF of Fractions 147/2812,157/2604 is 1/1830612

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

Greatest Common Factor of 147,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,157 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 147,157 . The biggest common factor number is the GCF number.
So the greatest common factor 147,157 is 1.

Lets's calculate LCM of 2812,2604

2 2812, 2604
2 1406, 1302
703, 651

∴ So the LCM of the given numbers is 2 x 2 x 703 x 651 = 1830612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1830612

Therefore, the GCF of Fractions 147/2812,157/2604 is 1/1830612

Least Common Multiple of 2812,2604 with GCF Formula

Least Common Multiple of 2812,2604 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 2812,2604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2812,2604) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2812,2604) x common factors =4 x 1 = 4

LCM(2812,2604) = ( 2812 × 2604 ) / 4

LCM(2812,2604) = 7322448 / 4

LCM(2812,2604) = 1830612


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 147/2812, 157/2604

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 147/2812, 157/2604?

Answer: GCF of Numerators as per given numbers 147/2812, 157/2604 is

GCF of Numerators i.e. for 147,157 is 1

LCM of denominators i.e. for 2812,2604 is 1830612.

Thus, GCF of Fractions is 1/1830612.Finally, GCF of Fractions for 147/2812, 157/2604 is 1/1830612.