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GCF of 21/58, 954/68, 912/117

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 21/58, 954/68, 912/117 i.e 3/230724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/58, 954/68, 912/117.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 21/58,954/68,912/117?

Given fractions are 21/58,954/68,912/117

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 21/58,954/68,912/117, numerators are 21,954,912

Denominators are 58,68,117

The GCF of 21,954,912 is 3 .

LCM of 58,68,117 is 230724.

The greatest common factor of 21/58,954/68,912/117 = [GCF of 21,954,912]/[LCM of 58,68,117]= 3/230724

Therefore, the GCF of 21/58,954/68,912/117 is 3/230724.

Greatest Common Factor of 21,954,912

To find the highest common factor of 21,954,912, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

The HCF of 21,954,912 is 3.

Lets's calculate GCF of 21,954,912

Greatest Common Factor (GCF) of 21,954,912 By Common Division

3 21, 954, 912
7, 318, 304

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 21,954,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,954,912 By Matching Biggest Common Factor Method

Now, list down the factors of 21

:

1,3,7,21

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 912

:

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 21,954,912 . The biggest common factor number is the GCF number.
So the greatest common factor 21,954,912 is 3.


Lets's calculate LCM of 58,68,117

Lowest Common Multiple of 58,68,117 using Common Division

2 58, 68, 117
29, 34, 117

∴ So the LCM of the given numbers is 2 x 29 x 34 x 117 = 230724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230724

Therefore, the GCF of Fractions 21/58,954/68,912/117 is 3/230724

Least Common Multiple of 58,68,117 with GCF Formula

Least Common Multiple of 58,68,117 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 58,68,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,68,117) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,68,117) x common factors =1 x 2 = 2

LCM(58,68,117) = ( 58 × 68 × 117 ) / 2

LCM(58,68,117) = 461448 / 2

LCM(58,68,117) = 230724


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 21/58, 954/68, 912/117

1. What is the HCF of 21,954,912?

The HCF of 21,954,912 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 21/58, 954/68, 912/117?

Answer: GCF of Numerators as per given numbers 21/58, 954/68, 912/117 is

GCF of Numerators i.e. for 21,954,912 is 3

LCM of denominators i.e. for 58,68,117 is 230724.

Thus, GCF of Fractions is 3/230724.Finally, GCF of Fractions for 21/58, 954/68, 912/117 is 3/230724.