Greatest Common Factor of 3250/286, 1795/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3250/286, 1795/753

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 3250/286,1795/753

Given fractions are 3250/286,1795/753

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 3250,1795

Greatest Common Factor of Numerators i.e. GCF of 3250,1795 is 5 .

LCM of Denominators means LCM of 286,753 as per the given fractions.

LCM of 286,753 is 215358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3250,1795

GCF of Fractions 3250/286,1795/753 is 5/215358

5 3250, 1795
650, 359

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3250,1795 By Matching Biggest Common Factor Method

Greatest Common Factor of 3250,1795 By Matching Biggest Common Factor Method

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250

Factors of 1795

List of positive integer factors of 1795 that divides 1795 without a remainder.

1,5,359,1795

Greatest Common Factor

We found the factors 3250,1795 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,1795 is 5.

Lets's calculate LCM of 286,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 215358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/215358

Therefore, the GCF of Fractions 3250/286,1795/753 is 5/215358

Least Common Multiple of 286,753 with GCF Formula

Least Common Multiple of 286,753 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 286,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,753) = 1

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

GCF(286,753) x common factors =1 x 1 = 1

LCM(286,753) = ( 286 × 753 ) / 1

LCM(286,753) = 215358 / 1

LCM(286,753) = 215358


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 3250/286, 1795/753

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 3250/286, 1795/753?

Answer: GCF of Numerators as per given numbers 3250/286, 1795/753 is

GCF of Numerators i.e. for 3250,1795 is 5

LCM of denominators i.e. for 286,753 is 215358.

Thus, GCF of Fractions is 5/215358.Finally, GCF of Fractions for 3250/286, 1795/753 is 5/215358.