How to Find GCF of 79/256, 41/747, 461/706?

GCF of 79/256, 41/747, 461/706

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 79/256, 41/747, 461/706 i.e 1/67504896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/256, 41/747, 461/706.

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 79/256,41/747,461/706?

Given fractions are 79/256,41/747,461/706

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 79/256,41/747,461/706, numerators are 79,41,461

Denominators are 256,747,706

The GCF of 79,41,461 is 1 .

LCM of 256,747,706 is 67504896.

The greatest common factor of 79/256,41/747,461/706 = [GCF of 79,41,461]/[LCM of 256,747,706]= 1/67504896

Therefore, the GCF of 79/256,41/747,461/706 is 1/67504896.

Greatest Common Factor of 79,41,461

To find the highest common factor of 79,41,461, we have to find the factors of both numbers and list the highest common factor.

The factors of 79 are 1, 79

The factors of 41 are 1, 41

The factors of 461 are 1, 461

The HCF of 79,41,461 is 1.

Lets's calculate GCF of 79,41,461

Greatest Common Factor (GCF) of 79,41,461 By Common Division

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

Greatest Common Factor of 79,41,461 By Matching Biggest Common Factor Method

Now, list down the factors of 79

1,79

Now, list down the factors of 41

1,41

Now, list down the factors of 461

1,461

Greatest Common Factor

We found the factors 79,41,461 . The biggest common factor number is the GCF number.
So the greatest common factor 79,41,461 is 1.

Lets's calculate LCM of 256,747,706

Lowest Common Multiple of 256,747,706 using Common Division

2	256, 747, 706
	128, 747, 353

∴ So the LCM of the given numbers is 2 x 128 x 747 x 353 = 67504896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67504896

Therefore, the GCF of Fractions 79/256,41/747,461/706 is 1/67504896

Least Common Multiple of 256,747,706 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 256,747,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,747,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(256,747,706) x common factors =1 x 2 = 2

LCM(256,747,706) = ( 256 × 747 × 706 ) / 2

LCM(256,747,706) = 135009792 / 2

LCM(256,747,706) = 67504896

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FAQs on GCF of Fractions of 79/256, 41/747, 461/706

1. What is the HCF of 79,41,461?

The HCF of 79,41,461 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 79/256, 41/747, 461/706?

Answer: GCF of Numerators as per given numbers 79/256, 41/747, 461/706 is

GCF of Numerators i.e. for 79,41,461 is 1

LCM of denominators i.e. for 256,747,706 is 67504896.

Thus, GCF of Fractions is 1/67504896.Finally, GCF of Fractions for 79/256, 41/747, 461/706 is 1/67504896.