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GCF of 958/260, 574/576

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 958/260, 574/576 i.e 2/37440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/260, 574/576.

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 958/260,574/576?

Given fractions are 958/260,574/576

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 958/260,574/576, numerators are 958,574

Denominators are 260,576

The GCF of 958,574 is 2 .

LCM of 260,576 is 37440.

The greatest common factor of 958/260,574/576 = [GCF of 958,574]/[LCM of 260,576]= 2/37440

Therefore, the GCF of 958/260,574/576 is 2/37440.

Greatest Common Factor of 958,574

To find the highest common factor of 958,574, we have to find the factors of both numbers and list the highest common factor.

The factors of 958 are 1, 2, 479, 958

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The HCF of 958,574 is 2.

Lets's calculate GCF of 958,574

Greatest Common Factor (GCF) of 958,574 By Common Division

2 958, 574
479, 287

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

Greatest Common Factor of 958,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,574 By Matching Biggest Common Factor Method

Now, list down the factors of 958

:

1,2,479,958

Now, list down the factors of 574

:

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 958,574 . The biggest common factor number is the GCF number.
So the greatest common factor 958,574 is 2.

Lets's calculate LCM of 260,576

Lowest Common Multiple of 260,576 using Common Division

2 260, 576
2 130, 288
65, 144

∴ So the LCM of the given numbers is 2 x 2 x 65 x 144 = 37440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37440

Therefore, the GCF of Fractions 958/260,574/576 is 2/37440

Least Common Multiple of 260,576 with GCF Formula

Least Common Multiple of 260,576 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 260,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,576) = 4

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

GCF(260,576) x common factors =4 x 1 = 4

LCM(260,576) = ( 260 × 576 ) / 4

LCM(260,576) = 149760 / 4

LCM(260,576) = 37440


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FAQs on GCF of Fractions of 958/260, 574/576

1. What is the HCF of 958,574?

The HCF of 958,574 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 958/260, 574/576?

Answer: GCF of Numerators as per given numbers 958/260, 574/576 is

GCF of Numerators i.e. for 958,574 is 2

LCM of denominators i.e. for 260,576 is 37440.

Thus, GCF of Fractions is 2/37440.Finally, GCF of Fractions for 958/260, 574/576 is 2/37440.