Greatest Common Factor of 21/77, 60/62, 59/66, 34/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/77, 60/62, 59/66, 34/417

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 21/77,60/62,59/66,34/417

Given fractions are 21/77,60/62,59/66,34/417

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 21,60,59,34

Greatest Common Factor of Numerators i.e. GCF of 21,60,59,34 is 1 .

LCM of Denominators means LCM of 77,62,66,417 as per the given fractions.

LCM of 77,62,66,417 is 1990758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,60,59,34

GCF of Fractions 21/77,60/62,59/66,34/417 is 1/1990758

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 21,60,59,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,60,59,34 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 34

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

1,2,17,34

Greatest Common Factor

We found the factors 21,60,59,34 . The biggest common factor number is the GCF number.
So the greatest common factor 21,60,59,34 is 1.

Lets's calculate LCM of 77,62,66,417

2 77, 62, 66, 417
3 77, 31, 33, 417
11 77, 31, 11, 139
7, 31, 1, 139

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 31 x 1 x 139 = 1990758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1990758

Therefore, the GCF of Fractions 21/77,60/62,59/66,34/417 is 1/1990758

Least Common Multiple of 77,62,66,417 with GCF Formula

Least Common Multiple of 77,62,66,417 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 77,62,66,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,62,66,417) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(77,62,66,417) x common factors =1 x 66 = 66

LCM(77,62,66,417) = ( 77 × 62 × 66 × 417 ) / 66

LCM(77,62,66,417) = 131390028 / 66

LCM(77,62,66,417) = 1990758


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 21/77, 60/62, 59/66, 34/417

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 21/77, 60/62, 59/66, 34/417?

Answer: GCF of Numerators as per given numbers 21/77, 60/62, 59/66, 34/417 is

GCF of Numerators i.e. for 21,60,59,34 is 1

LCM of denominators i.e. for 77,62,66,417 is 1990758.

Thus, GCF of Fractions is 1/1990758.Finally, GCF of Fractions for 21/77, 60/62, 59/66, 34/417 is 1/1990758.