How to Find GCF of 62/60, 95/77, 559/616?

GCF of 62/60, 95/77, 559/616

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 62/60, 95/77, 559/616 i.e 1/9240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/60, 95/77, 559/616.

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 62/60,95/77,559/616?

Given fractions are 62/60,95/77,559/616

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 62/60,95/77,559/616, numerators are 62,95,559

Denominators are 60,77,616

The GCF of 62,95,559 is 1 .

LCM of 60,77,616 is 9240.

The greatest common factor of 62/60,95/77,559/616 = [GCF of 62,95,559]/[LCM of 60,77,616]= 1/9240

Therefore, the GCF of 62/60,95/77,559/616 is 1/9240.

Greatest Common Factor of 62,95,559

To find the highest common factor of 62,95,559, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 95 are 1, 5, 19, 95

The factors of 559 are 1, 13, 43, 559

The HCF of 62,95,559 is 1.

Lets's calculate GCF of 62,95,559

Greatest Common Factor (GCF) of 62,95,559 By Common Division

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

Greatest Common Factor of 62,95,559 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 559

1,13,43,559

Greatest Common Factor

We found the factors 62,95,559 . The biggest common factor number is the GCF number.
So the greatest common factor 62,95,559 is 1.

Lets's calculate LCM of 60,77,616

Lowest Common Multiple of 60,77,616 using Common Division

2	60, 77, 616
2	30, 77, 308
7	15, 77, 154
11	15, 11, 22
	15, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 15 x 1 x 2 = 9240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240

Therefore, the GCF of Fractions 62/60,95/77,559/616 is 1/9240

Least Common Multiple of 60,77,616 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 60,77,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,77,616) = 1

common factors(in case of two or more numbers have common factors) = 308

GCF(60,77,616) x common factors =1 x 308 = 308

LCM(60,77,616) = ( 60 × 77 × 616 ) / 308

LCM(60,77,616) = 2845920 / 308

LCM(60,77,616) = 9240

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FAQs on GCF of Fractions of 62/60, 95/77, 559/616

1. What is the HCF of 62,95,559?

The HCF of 62,95,559 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 62/60, 95/77, 559/616?

Answer: GCF of Numerators as per given numbers 62/60, 95/77, 559/616 is

GCF of Numerators i.e. for 62,95,559 is 1

LCM of denominators i.e. for 60,77,616 is 9240.

Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 62/60, 95/77, 559/616 is 1/9240.