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GCF of 962/412, 574/464

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 962/412, 574/464 i.e 2/47792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/412, 574/464.

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 962/412,574/464?

Given fractions are 962/412,574/464

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 962/412,574/464, numerators are 962,574

Denominators are 412,464

The GCF of 962,574 is 2 .

LCM of 412,464 is 47792.

The greatest common factor of 962/412,574/464 = [GCF of 962,574]/[LCM of 412,464]= 2/47792

Therefore, the GCF of 962/412,574/464 is 2/47792.

Greatest Common Factor of 962,574

To find the highest common factor of 962,574, we have to find the factors of both numbers and list the highest common factor.

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

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

The HCF of 962,574 is 2.

Lets's calculate GCF of 962,574

Greatest Common Factor (GCF) of 962,574 By Common Division

2 962, 574
481, 287

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

Greatest Common Factor of 962,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,574 By Matching Biggest Common Factor Method

Now, list down the factors of 962

:

1,2,13,26,37,74,481,962

Now, list down the factors of 574

:

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

Greatest Common Factor

We found the factors 962,574 . The biggest common factor number is the GCF number.
So the greatest common factor 962,574 is 2.

Lets's calculate LCM of 412,464

Lowest Common Multiple of 412,464 using Common Division

2 412, 464
2 206, 232
103, 116

∴ So the LCM of the given numbers is 2 x 2 x 103 x 116 = 47792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47792

Therefore, the GCF of Fractions 962/412,574/464 is 2/47792

Least Common Multiple of 412,464 with GCF Formula

Least Common Multiple of 412,464 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 412,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,464) = 4

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

GCF(412,464) x common factors =4 x 1 = 4

LCM(412,464) = ( 412 × 464 ) / 4

LCM(412,464) = 191168 / 4

LCM(412,464) = 47792


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FAQs on GCF of Fractions of 962/412, 574/464

1. What is the HCF of 962,574?

The HCF of 962,574 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 962/412, 574/464?

Answer: GCF of Numerators as per given numbers 962/412, 574/464 is

GCF of Numerators i.e. for 962,574 is 2

LCM of denominators i.e. for 412,464 is 47792.

Thus, GCF of Fractions is 2/47792.Finally, GCF of Fractions for 962/412, 574/464 is 2/47792.