Greatest Common Factor of 1636/58, 2914/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1636/58, 2914/645

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 1636/58,2914/645

Given fractions are 1636/58,2914/645

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 1636,2914

Greatest Common Factor of Numerators i.e. GCF of 1636,2914 is 2 .

LCM of Denominators means LCM of 58,645 as per the given fractions.

LCM of 58,645 is 37410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1636,2914

GCF of Fractions 1636/58,2914/645 is 2/37410

2 1636, 2914
818, 1457

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

Greatest Common Factor of 1636,2914 By Matching Biggest Common Factor Method

Greatest Common Factor of 1636,2914 By Matching Biggest Common Factor Method

Factors of 1636

List of positive integer factors of 1636 that divides 1636 without a remainder.

1,2,4,409,818,1636

Factors of 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1,2,31,47,62,94,1457,2914

Greatest Common Factor

We found the factors 1636,2914 . The biggest common factor number is the GCF number.
So the greatest common factor 1636,2914 is 2.

Lets's calculate LCM of 58,645

Given numbers has no common factors except 1. So, there LCM is their product i.e 37410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37410

Therefore, the GCF of Fractions 1636/58,2914/645 is 2/37410

Least Common Multiple of 58,645 with GCF Formula

Least Common Multiple of 58,645 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 58,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,645) = 1

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

GCF(58,645) x common factors =1 x 1 = 1

LCM(58,645) = ( 58 × 645 ) / 1

LCM(58,645) = 37410 / 1

LCM(58,645) = 37410


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 1636/58, 2914/645

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 1636/58, 2914/645?

Answer: GCF of Numerators as per given numbers 1636/58, 2914/645 is

GCF of Numerators i.e. for 1636,2914 is 2

LCM of denominators i.e. for 58,645 is 37410.

Thus, GCF of Fractions is 2/37410.Finally, GCF of Fractions for 1636/58, 2914/645 is 2/37410.