How to Find GCF of 957/20, 109/61, 505/60?

GCF of 957/20, 109/61, 505/60

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 957/20, 109/61, 505/60 i.e 1/3660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/20, 109/61, 505/60.

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 957/20,109/61,505/60?

Given fractions are 957/20,109/61,505/60

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 957/20,109/61,505/60, numerators are 957,109,505

Denominators are 20,61,60

The GCF of 957,109,505 is 1 .

LCM of 20,61,60 is 3660.

The greatest common factor of 957/20,109/61,505/60 = [GCF of 957,109,505]/[LCM of 20,61,60]= 1/3660

Therefore, the GCF of 957/20,109/61,505/60 is 1/3660.

Greatest Common Factor of 957,109,505

To find the highest common factor of 957,109,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The factors of 109 are 1, 109

The factors of 505 are 1, 5, 101, 505

The HCF of 957,109,505 is 1.

Lets's calculate GCF of 957,109,505

Greatest Common Factor (GCF) of 957,109,505 By Common Division

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

Greatest Common Factor of 957,109,505 By Matching Biggest Common Factor Method

Now, list down the factors of 957

1,3,11,29,33,87,319,957

Now, list down the factors of 109

1,109

Now, list down the factors of 505

1,5,101,505

Greatest Common Factor

We found the factors 957,109,505 . The biggest common factor number is the GCF number.
So the greatest common factor 957,109,505 is 1.

Lets's calculate LCM of 20,61,60

Lowest Common Multiple of 20,61,60 using Common Division

2	20, 61, 60
2	10, 61, 30
5	5, 61, 15
	1, 61, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 61 x 3 = 3660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3660

Therefore, the GCF of Fractions 957/20,109/61,505/60 is 1/3660

Least Common Multiple of 20,61,60 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 20,61,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,61,60) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,61,60) x common factors =1 x 20 = 20

LCM(20,61,60) = ( 20 × 61 × 60 ) / 20

LCM(20,61,60) = 73200 / 20

LCM(20,61,60) = 3660

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 957/20, 109/61, 505/60

1. What is the HCF of 957,109,505?

The HCF of 957,109,505 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 957/20, 109/61, 505/60?

Answer: GCF of Numerators as per given numbers 957/20, 109/61, 505/60 is

GCF of Numerators i.e. for 957,109,505 is 1

LCM of denominators i.e. for 20,61,60 is 3660.

Thus, GCF of Fractions is 1/3660.Finally, GCF of Fractions for 957/20, 109/61, 505/60 is 1/3660.