Greatest Common Factor of 1636/310, 3503/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1636/310, 3503/827

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 1636/310,3503/827

Given fractions are 1636/310,3503/827

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 1636,3503

Greatest Common Factor of Numerators i.e. GCF of 1636,3503 is 1 .

LCM of Denominators means LCM of 310,827 as per the given fractions.

LCM of 310,827 is 256370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1636,3503

GCF of Fractions 1636/310,3503/827 is 1/256370

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

Greatest Common Factor of 1636,3503 By Matching Biggest Common Factor Method

Greatest Common Factor of 1636,3503 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 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1,31,113,3503

Greatest Common Factor

We found the factors 1636,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 1636,3503 is 1.

Lets's calculate LCM of 310,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 256370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256370

Therefore, the GCF of Fractions 1636/310,3503/827 is 1/256370

Least Common Multiple of 310,827 with GCF Formula

Least Common Multiple of 310,827 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 310,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,827) = 1

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

GCF(310,827) x common factors =1 x 1 = 1

LCM(310,827) = ( 310 × 827 ) / 1

LCM(310,827) = 256370 / 1

LCM(310,827) = 256370


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 1636/310, 3503/827

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 1636/310, 3503/827?

Answer: GCF of Numerators as per given numbers 1636/310, 3503/827 is

GCF of Numerators i.e. for 1636,3503 is 1

LCM of denominators i.e. for 310,827 is 256370.

Thus, GCF of Fractions is 1/256370.Finally, GCF of Fractions for 1636/310, 3503/827 is 1/256370.