How to Find GCF of 86/960, 14/111, 962/785?

GCF of 86/960, 14/111, 962/785

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 86/960, 14/111, 962/785 i.e 2/5576640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/960, 14/111, 962/785.

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 86/960,14/111,962/785?

Given fractions are 86/960,14/111,962/785

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 86/960,14/111,962/785, numerators are 86,14,962

Denominators are 960,111,785

The GCF of 86,14,962 is 2 .

LCM of 960,111,785 is 5576640.

The greatest common factor of 86/960,14/111,962/785 = [GCF of 86,14,962]/[LCM of 960,111,785]= 2/5576640

Therefore, the GCF of 86/960,14/111,962/785 is 2/5576640.

Greatest Common Factor of 86,14,962

To find the highest common factor of 86,14,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 14 are 1, 2, 7, 14

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

The HCF of 86,14,962 is 2.

Lets's calculate GCF of 86,14,962

Greatest Common Factor (GCF) of 86,14,962 By Common Division

2	86, 14, 962
	43, 7, 481

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

Greatest Common Factor of 86,14,962 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 962

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

Greatest Common Factor

We found the factors 86,14,962 . The biggest common factor number is the GCF number.
So the greatest common factor 86,14,962 is 2.

Lets's calculate LCM of 960,111,785

Lowest Common Multiple of 960,111,785 using Common Division

3	960, 111, 785
5	320, 37, 785
	64, 37, 157

∴ So the LCM of the given numbers is 3 x 5 x 64 x 37 x 157 = 5576640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5576640

Therefore, the GCF of Fractions 86/960,14/111,962/785 is 2/5576640

Least Common Multiple of 960,111,785 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 960,111,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,111,785) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(960,111,785) x common factors =1 x 15 = 15

LCM(960,111,785) = ( 960 × 111 × 785 ) / 15

LCM(960,111,785) = 83649600 / 15

LCM(960,111,785) = 5576640

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 86/960, 14/111, 962/785

1. What is the HCF of 86,14,962?

The HCF of 86,14,962 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 86/960, 14/111, 962/785?

Answer: GCF of Numerators as per given numbers 86/960, 14/111, 962/785 is

GCF of Numerators i.e. for 86,14,962 is 2

LCM of denominators i.e. for 960,111,785 is 5576640.

Thus, GCF of Fractions is 2/5576640.Finally, GCF of Fractions for 86/960, 14/111, 962/785 is 2/5576640.