Greatest Common Factor of 1637/907, 4503/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1637/907, 4503/796

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 1637/907,4503/796

Given fractions are 1637/907,4503/796

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 1637,4503

Greatest Common Factor of Numerators i.e. GCF of 1637,4503 is 1 .

LCM of Denominators means LCM of 907,796 as per the given fractions.

LCM of 907,796 is 721972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1637,4503

GCF of Fractions 1637/907,4503/796 is 1/721972

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

Greatest Common Factor of 1637,4503 By Matching Biggest Common Factor Method

Greatest Common Factor of 1637,4503 By Matching Biggest Common Factor Method

Factors of 1637

List of positive integer factors of 1637 that divides 1637 without a remainder.

1,1637

Factors of 4503

List of positive integer factors of 4503 that divides 4503 without a remainder.

1,3,19,57,79,237,1501,4503

Greatest Common Factor

We found the factors 1637,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 1637,4503 is 1.

Lets's calculate LCM of 907,796

Given numbers has no common factors except 1. So, there LCM is their product i.e 721972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/721972

Therefore, the GCF of Fractions 1637/907,4503/796 is 1/721972

Least Common Multiple of 907,796 with GCF Formula

Least Common Multiple of 907,796 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 907,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,796) = 1

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

GCF(907,796) x common factors =1 x 1 = 1

LCM(907,796) = ( 907 × 796 ) / 1

LCM(907,796) = 721972 / 1

LCM(907,796) = 721972


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 1637/907, 4503/796

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 1637/907, 4503/796?

Answer: GCF of Numerators as per given numbers 1637/907, 4503/796 is

GCF of Numerators i.e. for 1637,4503 is 1

LCM of denominators i.e. for 907,796 is 721972.

Thus, GCF of Fractions is 1/721972.Finally, GCF of Fractions for 1637/907, 4503/796 is 1/721972.