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GCF of 954/581, 494/730

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 954/581, 494/730 i.e 2/424130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/581, 494/730.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 954/581,494/730?

Given fractions are 954/581,494/730

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 954/581,494/730, numerators are 954,494

Denominators are 581,730

The GCF of 954,494 is 2 .

LCM of 581,730 is 424130.

The greatest common factor of 954/581,494/730 = [GCF of 954,494]/[LCM of 581,730]= 2/424130

Therefore, the GCF of 954/581,494/730 is 2/424130.

Greatest Common Factor of 954,494

To find the highest common factor of 954,494, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

The HCF of 954,494 is 2.

Lets's calculate GCF of 954,494

Greatest Common Factor (GCF) of 954,494 By Common Division

2 954, 494
477, 247

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 954,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,494 By Matching Biggest Common Factor Method

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 494

:

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 954,494 . The biggest common factor number is the GCF number.
So the greatest common factor 954,494 is 2.

Lets's calculate LCM of 581,730

Lowest Common Multiple of 581,730 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 424130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/424130

Therefore, the GCF of Fractions 954/581,494/730 is 2/424130

Least Common Multiple of 581,730 with GCF Formula

Least Common Multiple of 581,730 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 581,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,730) = 1

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

GCF(581,730) x common factors =1 x 1 = 1

LCM(581,730) = ( 581 × 730 ) / 1

LCM(581,730) = 424130 / 1

LCM(581,730) = 424130


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FAQs on GCF of Fractions of 954/581, 494/730

1. What is the HCF of 954,494?

The HCF of 954,494 is 2

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 954/581, 494/730?

Answer: GCF of Numerators as per given numbers 954/581, 494/730 is

GCF of Numerators i.e. for 954,494 is 2

LCM of denominators i.e. for 581,730 is 424130.

Thus, GCF of Fractions is 2/424130.Finally, GCF of Fractions for 954/581, 494/730 is 2/424130.