How to Find GCF of 60/29, 854/25, 853/912?

GCF of 60/29, 854/25, 853/912

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 60/29, 854/25, 853/912 i.e 1/661200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/29, 854/25, 853/912.

Enter two or more fractions separated by "commas"

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

What is the GCF of 60/29,854/25,853/912?

Given fractions are 60/29,854/25,853/912

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 60/29,854/25,853/912, numerators are 60,854,853

Denominators are 29,25,912

The GCF of 60,854,853 is 1 .

LCM of 29,25,912 is 661200.

The greatest common factor of 60/29,854/25,853/912 = [GCF of 60,854,853]/[LCM of 29,25,912]= 1/661200

Therefore, the GCF of 60/29,854/25,853/912 is 1/661200.

Greatest Common Factor of 60,854,853

To find the highest common factor of 60,854,853, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854

The factors of 853 are 1, 853

The HCF of 60,854,853 is 1.

Lets's calculate GCF of 60,854,853

Greatest Common Factor (GCF) of 60,854,853 By Common Division

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

Greatest Common Factor of 60,854,853 By Matching Biggest Common Factor Method

Now, list down the factors of 60

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

Now, list down the factors of 854

1,2,7,14,61,122,427,854

Now, list down the factors of 853

1,853

Greatest Common Factor

We found the factors 60,854,853 . The biggest common factor number is the GCF number.
So the greatest common factor 60,854,853 is 1.

Lets's calculate LCM of 29,25,912

Lowest Common Multiple of 29,25,912 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 661200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661200

Therefore, the GCF of Fractions 60/29,854/25,853/912 is 1/661200

Least Common Multiple of 29,25,912 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,25,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,25,912) = 1

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

GCF(29,25,912) x common factors =1 x 1 = 1

LCM(29,25,912) = ( 29 × 25 × 912 ) / 1

LCM(29,25,912) = 661200 / 1

LCM(29,25,912) = 661200

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/29, 854/25, 853/912

1. What is the HCF of 60,854,853?

The HCF of 60,854,853 is 1

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 60/29, 854/25, 853/912?

Answer: GCF of Numerators as per given numbers 60/29, 854/25, 853/912 is

GCF of Numerators i.e. for 60,854,853 is 1

LCM of denominators i.e. for 29,25,912 is 661200.

Thus, GCF of Fractions is 1/661200.Finally, GCF of Fractions for 60/29, 854/25, 853/912 is 1/661200.