Greatest Common Factor of 250/53, 803/13, 706/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 250/53, 803/13, 706/715

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 250/53,803/13,706/715

Given fractions are 250/53,803/13,706/715

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 250,803,706

Greatest Common Factor of Numerators i.e. GCF of 250,803,706 is 1 .

LCM of Denominators means LCM of 53,13,715 as per the given fractions.

LCM of 53,13,715 is 37895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,803,706

GCF of Fractions 250/53,803/13,706/715 is 1/37895

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

Greatest Common Factor of 250,803,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,803,706 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 250,803,706 . The biggest common factor number is the GCF number.
So the greatest common factor 250,803,706 is 1.

Lets's calculate LCM of 53,13,715

13 53, 13, 715
53, 1, 55

∴ So the LCM of the given numbers is 13 x 53 x 1 x 55 = 37895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37895

Therefore, the GCF of Fractions 250/53,803/13,706/715 is 1/37895

Least Common Multiple of 53,13,715 with GCF Formula

Least Common Multiple of 53,13,715 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 53,13,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,13,715) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(53,13,715) x common factors =1 x 13 = 13

LCM(53,13,715) = ( 53 × 13 × 715 ) / 13

LCM(53,13,715) = 492635 / 13

LCM(53,13,715) = 37895


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 250/53, 803/13, 706/715

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 250/53, 803/13, 706/715?

Answer: GCF of Numerators as per given numbers 250/53, 803/13, 706/715 is

GCF of Numerators i.e. for 250,803,706 is 1

LCM of denominators i.e. for 53,13,715 is 37895.

Thus, GCF of Fractions is 1/37895.Finally, GCF of Fractions for 250/53, 803/13, 706/715 is 1/37895.