How to Find GCF of 437/931, 617/465, 977/713?

GCF of 437/931, 617/465, 977/713

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 437/931, 617/465, 977/713 i.e 1/9957045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/931, 617/465, 977/713.

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 437/931,617/465,977/713?

Given fractions are 437/931,617/465,977/713

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 437/931,617/465,977/713, numerators are 437,617,977

Denominators are 931,465,713

The GCF of 437,617,977 is 1 .

LCM of 931,465,713 is 9957045.

The greatest common factor of 437/931,617/465,977/713 = [GCF of 437,617,977]/[LCM of 931,465,713]= 1/9957045

Therefore, the GCF of 437/931,617/465,977/713 is 1/9957045.

Greatest Common Factor of 437,617,977

To find the highest common factor of 437,617,977, 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 617 are 1, 617

The factors of 977 are 1, 977

The HCF of 437,617,977 is 1.

Lets's calculate GCF of 437,617,977

Greatest Common Factor (GCF) of 437,617,977 By Common Division

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

Greatest Common Factor of 437,617,977 By Matching Biggest Common Factor Method

Now, list down the factors of 437

1,19,23,437

Now, list down the factors of 617

1,617

Now, list down the factors of 977

1,977

Greatest Common Factor

We found the factors 437,617,977 . The biggest common factor number is the GCF number.
So the greatest common factor 437,617,977 is 1.

Lets's calculate LCM of 931,465,713

Lowest Common Multiple of 931,465,713 using Common Division

31	931, 465, 713
	931, 15, 23

∴ So the LCM of the given numbers is 31 x 931 x 15 x 23 = 9957045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9957045

Therefore, the GCF of Fractions 437/931,617/465,977/713 is 1/9957045

Least Common Multiple of 931,465,713 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 931,465,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,465,713) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(931,465,713) x common factors =1 x 31 = 31

LCM(931,465,713) = ( 931 × 465 × 713 ) / 31

LCM(931,465,713) = 308668395 / 31

LCM(931,465,713) = 9957045

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 437/931, 617/465, 977/713

1. What is the HCF of 437,617,977?

The HCF of 437,617,977 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 437/931, 617/465, 977/713?

Answer: GCF of Numerators as per given numbers 437/931, 617/465, 977/713 is

GCF of Numerators i.e. for 437,617,977 is 1

LCM of denominators i.e. for 931,465,713 is 9957045.

Thus, GCF of Fractions is 1/9957045.Finally, GCF of Fractions for 437/931, 617/465, 977/713 is 1/9957045.