How to Find GCF of 962/840, 910/686?

GCF of 962/840, 910/686

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, 910/686 i.e 26/41160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/840, 910/686.

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 962/840,910/686?

Given fractions are 962/840,910/686

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 962/840,910/686, numerators are 962,910

Denominators are 840,686

The GCF of 962,910 is 26 .

LCM of 840,686 is 41160.

The greatest common factor of 962/840,910/686 = [GCF of 962,910]/[LCM of 840,686]= 26/41160

Therefore, the GCF of 962/840,910/686 is 26/41160.

Greatest Common Factor of 962,910

To find the highest common factor of 962,910, 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 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The HCF of 962,910 is 26.

Lets's calculate GCF of 962,910

Greatest Common Factor (GCF) of 962,910 By Common Division

2	962, 910
13	481, 455
	37, 35

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 962,910 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 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 962,910 . The biggest common factor number is the GCF number.
So the greatest common factor 962,910 is 26.

Lets's calculate LCM of 840,686

Lowest Common Multiple of 840,686 using Common Division

2	840, 686
7	420, 343
	60, 49

∴ So the LCM of the given numbers is 2 x 7 x 60 x 49 = 41160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/41160

Therefore, the GCF of Fractions 962/840,910/686 is 26/41160

Least Common Multiple of 840,686 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 840,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,686) = 14

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

GCF(840,686) x common factors =14 x 1 = 14

LCM(840,686) = ( 840 × 686 ) / 14

LCM(840,686) = 576240 / 14

LCM(840,686) = 41160

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FAQs on GCF of Fractions of 962/840, 910/686

1. What is the HCF of 962,910?

The HCF of 962,910 is 26

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, 910/686?

Answer: GCF of Numerators as per given numbers 962/840, 910/686 is

GCF of Numerators i.e. for 962,910 is 26

LCM of denominators i.e. for 840,686 is 41160.

Thus, GCF of Fractions is 26/41160.Finally, GCF of Fractions for 962/840, 910/686 is 26/41160.