Greatest Common Factor of 148/101, 866/154, 102/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/101, 866/154, 102/910

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 148/101,866/154,102/910

Given fractions are 148/101,866/154,102/910

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 148,866,102

Greatest Common Factor of Numerators i.e. GCF of 148,866,102 is 2 .

LCM of Denominators means LCM of 101,154,910 as per the given fractions.

LCM of 101,154,910 is 1011010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,866,102

GCF of Fractions 148/101,866/154,102/910 is 2/1011010

2 148, 866, 102
74, 433, 51

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

Greatest Common Factor of 148,866,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,866,102 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 148,866,102 . The biggest common factor number is the GCF number.
So the greatest common factor 148,866,102 is 2.

Lets's calculate LCM of 101,154,910

2 101, 154, 910
7 101, 77, 455
101, 11, 65

∴ So the LCM of the given numbers is 2 x 7 x 101 x 11 x 65 = 1011010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1011010

Therefore, the GCF of Fractions 148/101,866/154,102/910 is 2/1011010

Least Common Multiple of 101,154,910 with GCF Formula

Least Common Multiple of 101,154,910 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 101,154,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,154,910) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(101,154,910) x common factors =1 x 14 = 14

LCM(101,154,910) = ( 101 × 154 × 910 ) / 14

LCM(101,154,910) = 14154140 / 14

LCM(101,154,910) = 1011010


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 148/101, 866/154, 102/910

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 148/101, 866/154, 102/910?

Answer: GCF of Numerators as per given numbers 148/101, 866/154, 102/910 is

GCF of Numerators i.e. for 148,866,102 is 2

LCM of denominators i.e. for 101,154,910 is 1011010.

Thus, GCF of Fractions is 2/1011010.Finally, GCF of Fractions for 148/101, 866/154, 102/910 is 2/1011010.