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GCF of 962/384, 589/748

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 962/384, 589/748 i.e 1/71808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/384, 589/748.

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 962/384,589/748?

Given fractions are 962/384,589/748

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 962/384,589/748, numerators are 962,589

Denominators are 384,748

The GCF of 962,589 is 1 .

LCM of 384,748 is 71808.

The greatest common factor of 962/384,589/748 = [GCF of 962,589]/[LCM of 384,748]= 1/71808

Therefore, the GCF of 962/384,589/748 is 1/71808.

Greatest Common Factor of 962,589

To find the highest common factor of 962,589, 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 589 are 1, 19, 31, 589

The HCF of 962,589 is 1.

Lets's calculate GCF of 962,589

Greatest Common Factor (GCF) of 962,589 By Common Division

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

Greatest Common Factor of 962,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,589 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 589

:

1,19,31,589

Greatest Common Factor

We found the factors 962,589 . The biggest common factor number is the GCF number.
So the greatest common factor 962,589 is 1.

Lets's calculate LCM of 384,748

Lowest Common Multiple of 384,748 using Common Division

2 384, 748
2 192, 374
96, 187

∴ So the LCM of the given numbers is 2 x 2 x 96 x 187 = 71808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71808

Therefore, the GCF of Fractions 962/384,589/748 is 1/71808

Least Common Multiple of 384,748 with GCF Formula

Least Common Multiple of 384,748 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 384,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,748) = 4

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

GCF(384,748) x common factors =4 x 1 = 4

LCM(384,748) = ( 384 × 748 ) / 4

LCM(384,748) = 287232 / 4

LCM(384,748) = 71808


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FAQs on GCF of Fractions of 962/384, 589/748

1. What is the HCF of 962,589?

The HCF of 962,589 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 962/384, 589/748?

Answer: GCF of Numerators as per given numbers 962/384, 589/748 is

GCF of Numerators i.e. for 962,589 is 1

LCM of denominators i.e. for 384,748 is 71808.

Thus, GCF of Fractions is 1/71808.Finally, GCF of Fractions for 962/384, 589/748 is 1/71808.