How to Find GCF of 61/99, 10/37, 560/451?

GCF of 61/99, 10/37, 560/451

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 61/99, 10/37, 560/451 i.e 1/150183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/99, 10/37, 560/451.

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 61/99,10/37,560/451?

Given fractions are 61/99,10/37,560/451

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 61/99,10/37,560/451, numerators are 61,10,560

Denominators are 99,37,451

The GCF of 61,10,560 is 1 .

LCM of 99,37,451 is 150183.

The greatest common factor of 61/99,10/37,560/451 = [GCF of 61,10,560]/[LCM of 99,37,451]= 1/150183

Therefore, the GCF of 61/99,10/37,560/451 is 1/150183.

Greatest Common Factor of 61,10,560

To find the highest common factor of 61,10,560, we have to find the factors of both numbers and list the highest common factor.

The factors of 61 are 1, 61

The factors of 10 are 1, 2, 5, 10

The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

The HCF of 61,10,560 is 1.

Lets's calculate GCF of 61,10,560

Greatest Common Factor (GCF) of 61,10,560 By Common Division

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

Greatest Common Factor of 61,10,560 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 560

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 61,10,560 . The biggest common factor number is the GCF number.
So the greatest common factor 61,10,560 is 1.

Lets's calculate LCM of 99,37,451

Lowest Common Multiple of 99,37,451 using Common Division

11	99, 37, 451
	9, 37, 41

∴ So the LCM of the given numbers is 11 x 9 x 37 x 41 = 150183

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150183

Therefore, the GCF of Fractions 61/99,10/37,560/451 is 1/150183

Least Common Multiple of 99,37,451 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 99,37,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,37,451) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(99,37,451) x common factors =1 x 11 = 11

LCM(99,37,451) = ( 99 × 37 × 451 ) / 11

LCM(99,37,451) = 1652013 / 11

LCM(99,37,451) = 150183

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 61/99, 10/37, 560/451

1. What is the HCF of 61,10,560?

The HCF of 61,10,560 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 61/99, 10/37, 560/451?

Answer: GCF of Numerators as per given numbers 61/99, 10/37, 560/451 is

GCF of Numerators i.e. for 61,10,560 is 1

LCM of denominators i.e. for 99,37,451 is 150183.

Thus, GCF of Fractions is 1/150183.Finally, GCF of Fractions for 61/99, 10/37, 560/451 is 1/150183.