Greatest Common Factor of 8/77, 14/11, 34/166, 950/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/77, 14/11, 34/166, 950/215

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 8/77,14/11,34/166,950/215

Given fractions are 8/77,14/11,34/166,950/215

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 8,14,34,950

Greatest Common Factor of Numerators i.e. GCF of 8,14,34,950 is 2 .

LCM of Denominators means LCM of 77,11,166,215 as per the given fractions.

LCM of 77,11,166,215 is 2748130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,14,34,950

GCF of Fractions 8/77,14/11,34/166,950/215 is 2/2748130

2 8, 14, 34, 950
4, 7, 17, 475

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

Greatest Common Factor of 8,14,34,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,14,34,950 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 8,14,34,950 . The biggest common factor number is the GCF number.
So the greatest common factor 8,14,34,950 is 2.

Lets's calculate LCM of 77,11,166,215

11 77, 11, 166, 215
7, 1, 166, 215

∴ So the LCM of the given numbers is 11 x 7 x 1 x 166 x 215 = 2748130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2748130

Therefore, the GCF of Fractions 8/77,14/11,34/166,950/215 is 2/2748130

Least Common Multiple of 77,11,166,215 with GCF Formula

Least Common Multiple of 77,11,166,215 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 77,11,166,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,11,166,215) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,11,166,215) x common factors =1 x 11 = 11

LCM(77,11,166,215) = ( 77 × 11 × 166 × 215 ) / 11

LCM(77,11,166,215) = 30229430 / 11

LCM(77,11,166,215) = 2748130


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 8/77, 14/11, 34/166, 950/215

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 8/77, 14/11, 34/166, 950/215?

Answer: GCF of Numerators as per given numbers 8/77, 14/11, 34/166, 950/215 is

GCF of Numerators i.e. for 8,14,34,950 is 2

LCM of denominators i.e. for 77,11,166,215 is 2748130.

Thus, GCF of Fractions is 2/2748130.Finally, GCF of Fractions for 8/77, 14/11, 34/166, 950/215 is 2/2748130.