Greatest Common Factor of 250/94, 248/17, 140/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 250/94, 248/17, 140/689

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 250/94,248/17,140/689

Given fractions are 250/94,248/17,140/689

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 250,248,140

Greatest Common Factor of Numerators i.e. GCF of 250,248,140 is 2 .

LCM of Denominators means LCM of 94,17,689 as per the given fractions.

LCM of 94,17,689 is 1101022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,248,140

GCF of Fractions 250/94,248/17,140/689 is 2/1101022

2 250, 248, 140
125, 124, 70

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 250,248,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,248,140 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 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 250,248,140 . The biggest common factor number is the GCF number.
So the greatest common factor 250,248,140 is 2.

Lets's calculate LCM of 94,17,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 1101022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1101022

Therefore, the GCF of Fractions 250/94,248/17,140/689 is 2/1101022

Least Common Multiple of 94,17,689 with GCF Formula

Least Common Multiple of 94,17,689 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 94,17,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,17,689) = 1

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

GCF(94,17,689) x common factors =1 x 1 = 1

LCM(94,17,689) = ( 94 × 17 × 689 ) / 1

LCM(94,17,689) = 1101022 / 1

LCM(94,17,689) = 1101022


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 250/94, 248/17, 140/689

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 250/94, 248/17, 140/689?

Answer: GCF of Numerators as per given numbers 250/94, 248/17, 140/689 is

GCF of Numerators i.e. for 250,248,140 is 2

LCM of denominators i.e. for 94,17,689 is 1101022.

Thus, GCF of Fractions is 2/1101022.Finally, GCF of Fractions for 250/94, 248/17, 140/689 is 2/1101022.