How to Find GCF of 92/70, 21/51, 496/323?

GCF of 92/70, 21/51, 496/323

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 92/70, 21/51, 496/323 i.e 1/67830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/70, 21/51, 496/323.

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 92/70,21/51,496/323?

Given fractions are 92/70,21/51,496/323

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 92/70,21/51,496/323, numerators are 92,21,496

Denominators are 70,51,323

The GCF of 92,21,496 is 1 .

LCM of 70,51,323 is 67830.

The greatest common factor of 92/70,21/51,496/323 = [GCF of 92,21,496]/[LCM of 70,51,323]= 1/67830

Therefore, the GCF of 92/70,21/51,496/323 is 1/67830.

Greatest Common Factor of 92,21,496

To find the highest common factor of 92,21,496, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 21 are 1, 3, 7, 21

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The HCF of 92,21,496 is 1.

Lets's calculate GCF of 92,21,496

Greatest Common Factor (GCF) of 92,21,496 By Common Division

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

Greatest Common Factor of 92,21,496 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 496

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 92,21,496 . The biggest common factor number is the GCF number.
So the greatest common factor 92,21,496 is 1.

Lets's calculate LCM of 70,51,323

Lowest Common Multiple of 70,51,323 using Common Division

17	70, 51, 323
	70, 3, 19

∴ So the LCM of the given numbers is 17 x 70 x 3 x 19 = 67830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67830

Therefore, the GCF of Fractions 92/70,21/51,496/323 is 1/67830

Least Common Multiple of 70,51,323 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 70,51,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,51,323) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(70,51,323) x common factors =1 x 17 = 17

LCM(70,51,323) = ( 70 × 51 × 323 ) / 17

LCM(70,51,323) = 1153110 / 17

LCM(70,51,323) = 67830

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/70, 21/51, 496/323

1. What is the HCF of 92,21,496?

The HCF of 92,21,496 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 92/70, 21/51, 496/323?

Answer: GCF of Numerators as per given numbers 92/70, 21/51, 496/323 is

GCF of Numerators i.e. for 92,21,496 is 1

LCM of denominators i.e. for 70,51,323 is 67830.

Thus, GCF of Fractions is 1/67830.Finally, GCF of Fractions for 92/70, 21/51, 496/323 is 1/67830.