Greatest Common Factor of 70/12, 166/48, 114/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/12, 166/48, 114/125

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 70/12,166/48,114/125

Given fractions are 70/12,166/48,114/125

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 70,166,114

Greatest Common Factor of Numerators i.e. GCF of 70,166,114 is 2 .

LCM of Denominators means LCM of 12,48,125 as per the given fractions.

LCM of 12,48,125 is 6000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,166,114

GCF of Fractions 70/12,166/48,114/125 is 2/6000

2 70, 166, 114
35, 83, 57

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

Greatest Common Factor of 70,166,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,166,114 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 70,166,114 . The biggest common factor number is the GCF number.
So the greatest common factor 70,166,114 is 2.

Lets's calculate LCM of 12,48,125

2 12, 48, 125
2 6, 24, 125
3 3, 12, 125
1, 4, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 4 x 125 = 6000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6000

Therefore, the GCF of Fractions 70/12,166/48,114/125 is 2/6000

Least Common Multiple of 12,48,125 with GCF Formula

Least Common Multiple of 12,48,125 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 12,48,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,48,125) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,48,125) x common factors =1 x 12 = 12

LCM(12,48,125) = ( 12 × 48 × 125 ) / 12

LCM(12,48,125) = 72000 / 12

LCM(12,48,125) = 6000


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 70/12, 166/48, 114/125

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 70/12, 166/48, 114/125?

Answer: GCF of Numerators as per given numbers 70/12, 166/48, 114/125 is

GCF of Numerators i.e. for 70,166,114 is 2

LCM of denominators i.e. for 12,48,125 is 6000.

Thus, GCF of Fractions is 2/6000.Finally, GCF of Fractions for 70/12, 166/48, 114/125 is 2/6000.