How to Find GCF of 437/741, 492/377?

GCF of 437/741, 492/377

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 437/741, 492/377 i.e 1/21489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/741, 492/377.

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 437/741,492/377?

Given fractions are 437/741,492/377

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 437/741,492/377, numerators are 437,492

Denominators are 741,377

The GCF of 437,492 is 1 .

LCM of 741,377 is 21489.

The greatest common factor of 437/741,492/377 = [GCF of 437,492]/[LCM of 741,377]= 1/21489

Therefore, the GCF of 437/741,492/377 is 1/21489.

Greatest Common Factor of 437,492

To find the highest common factor of 437,492, we have to find the factors of both numbers and list the highest common factor.

The factors of 437 are 1, 19, 23, 437

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

The HCF of 437,492 is 1.

Lets's calculate GCF of 437,492

Greatest Common Factor (GCF) of 437,492 By Common Division

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

Greatest Common Factor of 437,492 By Matching Biggest Common Factor Method

Now, list down the factors of 437

1,19,23,437

Now, list down the factors of 492

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 437,492 . The biggest common factor number is the GCF number.
So the greatest common factor 437,492 is 1.

Lets's calculate LCM of 741,377

Lowest Common Multiple of 741,377 using Common Division

13	741, 377
	57, 29

∴ So the LCM of the given numbers is 13 x 57 x 29 = 21489

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21489

Therefore, the GCF of Fractions 437/741,492/377 is 1/21489

Least Common Multiple of 741,377 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 741,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,377) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(741,377) x common factors =13 x 1 = 13

LCM(741,377) = ( 741 × 377 ) / 13

LCM(741,377) = 279357 / 13

LCM(741,377) = 21489

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FAQs on GCF of Fractions of 437/741, 492/377

1. What is the HCF of 437,492?

The HCF of 437,492 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 437/741, 492/377?

Answer: GCF of Numerators as per given numbers 437/741, 492/377 is

GCF of Numerators i.e. for 437,492 is 1

LCM of denominators i.e. for 741,377 is 21489.

Thus, GCF of Fractions is 1/21489.Finally, GCF of Fractions for 437/741, 492/377 is 1/21489.