Greatest Common Factor of 164/48, 888/71, 176/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/48, 888/71, 176/95

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 164/48,888/71,176/95

Given fractions are 164/48,888/71,176/95

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 164,888,176

Greatest Common Factor of Numerators i.e. GCF of 164,888,176 is 4 .

LCM of Denominators means LCM of 48,71,95 as per the given fractions.

LCM of 48,71,95 is 323760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,888,176

GCF of Fractions 164/48,888/71,176/95 is 4/323760

2 164, 888, 176
2 82, 444, 88
41, 222, 44

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 164,888,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,888,176 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 164,888,176 . The biggest common factor number is the GCF number.
So the greatest common factor 164,888,176 is 4.

Lets's calculate LCM of 48,71,95

Given numbers has no common factors except 1. So, there LCM is their product i.e 323760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/323760

Therefore, the GCF of Fractions 164/48,888/71,176/95 is 4/323760

Least Common Multiple of 48,71,95 with GCF Formula

Least Common Multiple of 48,71,95 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 48,71,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,71,95) = 1

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

GCF(48,71,95) x common factors =1 x 1 = 1

LCM(48,71,95) = ( 48 × 71 × 95 ) / 1

LCM(48,71,95) = 323760 / 1

LCM(48,71,95) = 323760


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 164/48, 888/71, 176/95

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 164/48, 888/71, 176/95?

Answer: GCF of Numerators as per given numbers 164/48, 888/71, 176/95 is

GCF of Numerators i.e. for 164,888,176 is 4

LCM of denominators i.e. for 48,71,95 is 323760.

Thus, GCF of Fractions is 4/323760.Finally, GCF of Fractions for 164/48, 888/71, 176/95 is 4/323760.