How to Find GCF of 35/371, 26/976, 657/440?

GCF of 35/371, 26/976, 657/440

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 35/371, 26/976, 657/440 i.e 1/19915280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/371, 26/976, 657/440.

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 35/371,26/976,657/440?

Given fractions are 35/371,26/976,657/440

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 35/371,26/976,657/440, numerators are 35,26,657

Denominators are 371,976,440

The GCF of 35,26,657 is 1 .

LCM of 371,976,440 is 19915280.

The greatest common factor of 35/371,26/976,657/440 = [GCF of 35,26,657]/[LCM of 371,976,440]= 1/19915280

Therefore, the GCF of 35/371,26/976,657/440 is 1/19915280.

Greatest Common Factor of 35,26,657

To find the highest common factor of 35,26,657, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

The factors of 26 are 1, 2, 13, 26

The factors of 657 are 1, 3, 9, 73, 219, 657

The HCF of 35,26,657 is 1.

Lets's calculate GCF of 35,26,657

Greatest Common Factor (GCF) of 35,26,657 By Common Division

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

Greatest Common Factor of 35,26,657 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 657

1,3,9,73,219,657

Greatest Common Factor

We found the factors 35,26,657 . The biggest common factor number is the GCF number.
So the greatest common factor 35,26,657 is 1.

Lets's calculate LCM of 371,976,440

Lowest Common Multiple of 371,976,440 using Common Division

2	371, 976, 440
2	371, 488, 220
2	371, 244, 110
	371, 122, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 371 x 122 x 55 = 19915280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19915280

Therefore, the GCF of Fractions 35/371,26/976,657/440 is 1/19915280

Least Common Multiple of 371,976,440 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 371,976,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,976,440) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(371,976,440) x common factors =1 x 8 = 8

LCM(371,976,440) = ( 371 × 976 × 440 ) / 8

LCM(371,976,440) = 159322240 / 8

LCM(371,976,440) = 19915280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 35/371, 26/976, 657/440

1. What is the HCF of 35,26,657?

The HCF of 35,26,657 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 35/371, 26/976, 657/440?

Answer: GCF of Numerators as per given numbers 35/371, 26/976, 657/440 is

GCF of Numerators i.e. for 35,26,657 is 1

LCM of denominators i.e. for 371,976,440 is 19915280.

Thus, GCF of Fractions is 1/19915280.Finally, GCF of Fractions for 35/371, 26/976, 657/440 is 1/19915280.