How to Find GCF of 60/342, 13/967, 125/532?

GCF of 60/342, 13/967, 125/532

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 60/342, 13/967, 125/532 i.e 1/4629996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/342, 13/967, 125/532.

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 60/342,13/967,125/532?

Given fractions are 60/342,13/967,125/532

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 60/342,13/967,125/532, numerators are 60,13,125

Denominators are 342,967,532

The GCF of 60,13,125 is 1 .

LCM of 342,967,532 is 4629996.

The greatest common factor of 60/342,13/967,125/532 = [GCF of 60,13,125]/[LCM of 342,967,532]= 1/4629996

Therefore, the GCF of 60/342,13/967,125/532 is 1/4629996.

Greatest Common Factor of 60,13,125

To find the highest common factor of 60,13,125, 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 13 are 1, 13

The factors of 125 are 1, 5, 25, 125

The HCF of 60,13,125 is 1.

Lets's calculate GCF of 60,13,125

Greatest Common Factor (GCF) of 60,13,125 By Common Division

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

Greatest Common Factor of 60,13,125 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 13

1,13

Now, list down the factors of 125

1,5,25,125

Greatest Common Factor

We found the factors 60,13,125 . The biggest common factor number is the GCF number.
So the greatest common factor 60,13,125 is 1.

Lets's calculate LCM of 342,967,532

Lowest Common Multiple of 342,967,532 using Common Division

2	342, 967, 532
19	171, 967, 266
	9, 967, 14

∴ So the LCM of the given numbers is 2 x 19 x 9 x 967 x 14 = 4629996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4629996

Therefore, the GCF of Fractions 60/342,13/967,125/532 is 1/4629996

Least Common Multiple of 342,967,532 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 342,967,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,967,532) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(342,967,532) x common factors =1 x 38 = 38

LCM(342,967,532) = ( 342 × 967 × 532 ) / 38

LCM(342,967,532) = 175939848 / 38

LCM(342,967,532) = 4629996

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/342, 13/967, 125/532

1. What is the HCF of 60,13,125?

The HCF of 60,13,125 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 60/342, 13/967, 125/532?

Answer: GCF of Numerators as per given numbers 60/342, 13/967, 125/532 is

GCF of Numerators i.e. for 60,13,125 is 1

LCM of denominators i.e. for 342,967,532 is 4629996.

Thus, GCF of Fractions is 1/4629996.Finally, GCF of Fractions for 60/342, 13/967, 125/532 is 1/4629996.