How to Find GCF of 962/840, 636/480?

GCF of 962/840, 636/480

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 962/840, 636/480 i.e 2/3360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/840, 636/480.

Enter two or more fractions separated by "commas"

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

What is the GCF of 962/840,636/480?

Given fractions are 962/840,636/480

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 962/840,636/480, numerators are 962,636

Denominators are 840,480

The GCF of 962,636 is 2 .

LCM of 840,480 is 3360.

The greatest common factor of 962/840,636/480 = [GCF of 962,636]/[LCM of 840,480]= 2/3360

Therefore, the GCF of 962/840,636/480 is 2/3360.

Greatest Common Factor of 962,636

To find the highest common factor of 962,636, 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 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The HCF of 962,636 is 2.

Lets's calculate GCF of 962,636

Greatest Common Factor (GCF) of 962,636 By Common Division

2	962, 636
	481, 318

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

Greatest Common Factor of 962,636 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 636

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 962,636 . The biggest common factor number is the GCF number.
So the greatest common factor 962,636 is 2.

Lets's calculate LCM of 840,480

Lowest Common Multiple of 840,480 using Common Division

2	840, 480
2	420, 240
2	210, 120
3	105, 60
5	35, 20
	7, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 4 = 3360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3360

Therefore, the GCF of Fractions 962/840,636/480 is 2/3360

Least Common Multiple of 840,480 with GCF Formula

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

We need to calculate greatest common factor of 840,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,480) = 120

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

GCF(840,480) x common factors =120 x 1 = 120

LCM(840,480) = ( 840 × 480 ) / 120

LCM(840,480) = 403200 / 120

LCM(840,480) = 3360

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FAQs on GCF of Fractions of 962/840, 636/480

1. What is the HCF of 962,636?

The HCF of 962,636 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 962/840, 636/480?

Answer: GCF of Numerators as per given numbers 962/840, 636/480 is

GCF of Numerators i.e. for 962,636 is 2

LCM of denominators i.e. for 840,480 is 3360.

Thus, GCF of Fractions is 2/3360.Finally, GCF of Fractions for 962/840, 636/480 is 2/3360.