Greatest Common Factor of 250/80, 7417/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 250/80, 7417/105

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 250/80,7417/105

Given fractions are 250/80,7417/105

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 250,7417

Greatest Common Factor of Numerators i.e. GCF of 250,7417 is 1 .

LCM of Denominators means LCM of 80,105 as per the given fractions.

LCM of 80,105 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,7417

GCF of Fractions 250/80,7417/105 is 1/1680

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

Greatest Common Factor of 250,7417 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,7417 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 7417

List of positive integer factors of 7417 that divides 7417 without a remainder.

1,7417

Greatest Common Factor

We found the factors 250,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 250,7417 is 1.

Lets's calculate LCM of 80,105

5 80, 105
16, 21

∴ So the LCM of the given numbers is 5 x 16 x 21 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 250/80,7417/105 is 1/1680

Least Common Multiple of 80,105 with GCF Formula

Least Common Multiple of 80,105 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 80,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,105) = 5

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

GCF(80,105) x common factors =5 x 1 = 5

LCM(80,105) = ( 80 × 105 ) / 5

LCM(80,105) = 8400 / 5

LCM(80,105) = 1680


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 250/80, 7417/105

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 250/80, 7417/105?

Answer: GCF of Numerators as per given numbers 250/80, 7417/105 is

GCF of Numerators i.e. for 250,7417 is 1

LCM of denominators i.e. for 80,105 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 250/80, 7417/105 is 1/1680.