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GCF of 962/30, 782/964

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 962/30, 782/964 i.e 2/14460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/30, 782/964.

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 962/30,782/964?

Given fractions are 962/30,782/964

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 962/30,782/964, numerators are 962,782

Denominators are 30,964

The GCF of 962,782 is 2 .

LCM of 30,964 is 14460.

The greatest common factor of 962/30,782/964 = [GCF of 962,782]/[LCM of 30,964]= 2/14460

Therefore, the GCF of 962/30,782/964 is 2/14460.

Greatest Common Factor of 962,782

To find the highest common factor of 962,782, 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 782 are 1, 2, 17, 23, 34, 46, 391, 782

The HCF of 962,782 is 2.

Lets's calculate GCF of 962,782

Greatest Common Factor (GCF) of 962,782 By Common Division

2 962, 782
481, 391

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

Greatest Common Factor of 962,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,782 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 782

:

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 962,782 . The biggest common factor number is the GCF number.
So the greatest common factor 962,782 is 2.


Lets's calculate LCM of 30,964

Lowest Common Multiple of 30,964 using Common Division

2 30, 964
15, 482

∴ So the LCM of the given numbers is 2 x 15 x 482 = 14460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14460

Therefore, the GCF of Fractions 962/30,782/964 is 2/14460

Least Common Multiple of 30,964 with GCF Formula

Least Common Multiple of 30,964 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 30,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,964) = 2

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

GCF(30,964) x common factors =2 x 1 = 2

LCM(30,964) = ( 30 × 964 ) / 2

LCM(30,964) = 28920 / 2

LCM(30,964) = 14460


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 962/30, 782/964

1. What is the HCF of 962,782?

The HCF of 962,782 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 962/30, 782/964?

Answer: GCF of Numerators as per given numbers 962/30, 782/964 is

GCF of Numerators i.e. for 962,782 is 2

LCM of denominators i.e. for 30,964 is 14460.

Thus, GCF of Fractions is 2/14460.Finally, GCF of Fractions for 962/30, 782/964 is 2/14460.