How to Find GCF of 60/67, 46/16, 538/956?

GCF of 60/67, 46/16, 538/956

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 60/67, 46/16, 538/956 i.e 2/256208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/67, 46/16, 538/956.

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 60/67,46/16,538/956?

Given fractions are 60/67,46/16,538/956

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 60/67,46/16,538/956, numerators are 60,46,538

Denominators are 67,16,956

The GCF of 60,46,538 is 2 .

LCM of 67,16,956 is 256208.

The greatest common factor of 60/67,46/16,538/956 = [GCF of 60,46,538]/[LCM of 67,16,956]= 2/256208

Therefore, the GCF of 60/67,46/16,538/956 is 2/256208.

Greatest Common Factor of 60,46,538

To find the highest common factor of 60,46,538, 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 46 are 1, 2, 23, 46

The factors of 538 are 1, 2, 269, 538

The HCF of 60,46,538 is 2.

Lets's calculate GCF of 60,46,538

Greatest Common Factor (GCF) of 60,46,538 By Common Division

2	60, 46, 538
	30, 23, 269

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

Greatest Common Factor of 60,46,538 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 46

1,2,23,46

Now, list down the factors of 538

1,2,269,538

Greatest Common Factor

We found the factors 60,46,538 . The biggest common factor number is the GCF number.
So the greatest common factor 60,46,538 is 2.

Lets's calculate LCM of 67,16,956

Lowest Common Multiple of 67,16,956 using Common Division

2	67, 16, 956
2	67, 8, 478
	67, 4, 239

∴ So the LCM of the given numbers is 2 x 2 x 67 x 4 x 239 = 256208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/256208

Therefore, the GCF of Fractions 60/67,46/16,538/956 is 2/256208

Least Common Multiple of 67,16,956 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 67,16,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,16,956) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(67,16,956) x common factors =1 x 4 = 4

LCM(67,16,956) = ( 67 × 16 × 956 ) / 4

LCM(67,16,956) = 1024832 / 4

LCM(67,16,956) = 256208

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/67, 46/16, 538/956

1. What is the HCF of 60,46,538?

The HCF of 60,46,538 is 2

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 60/67, 46/16, 538/956?

Answer: GCF of Numerators as per given numbers 60/67, 46/16, 538/956 is

GCF of Numerators i.e. for 60,46,538 is 2

LCM of denominators i.e. for 67,16,956 is 256208.

Thus, GCF of Fractions is 2/256208.Finally, GCF of Fractions for 60/67, 46/16, 538/956 is 2/256208.