Greatest Common Factor of 96/714, 916/814, 526/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/714, 916/814, 526/966

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 96/714,916/814,526/966

Given fractions are 96/714,916/814,526/966

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 96,916,526

Greatest Common Factor of Numerators i.e. GCF of 96,916,526 is 2 .

LCM of Denominators means LCM of 714,814,966 as per the given fractions.

LCM of 714,814,966 is 6683754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,916,526

GCF of Fractions 96/714,916/814,526/966 is 2/6683754

2 96, 916, 526
48, 458, 263

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

Greatest Common Factor of 96,916,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,916,526 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 96,916,526 . The biggest common factor number is the GCF number.
So the greatest common factor 96,916,526 is 2.

Lets's calculate LCM of 714,814,966

2 714, 814, 966
3 357, 407, 483
7 119, 407, 161
17, 407, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 407 x 23 = 6683754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6683754

Therefore, the GCF of Fractions 96/714,916/814,526/966 is 2/6683754

Least Common Multiple of 714,814,966 with GCF Formula

Least Common Multiple of 714,814,966 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 714,814,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,814,966) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(714,814,966) x common factors =2 x 42 = 84

LCM(714,814,966) = ( 714 × 814 × 966 ) / 84

LCM(714,814,966) = 561435336 / 84

LCM(714,814,966) = 6683754


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 96/714, 916/814, 526/966

1. 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.

2. What is the GCF of Fractions for 96/714, 916/814, 526/966?

Answer: GCF of Numerators as per given numbers 96/714, 916/814, 526/966 is

GCF of Numerators i.e. for 96,916,526 is 2

LCM of denominators i.e. for 714,814,966 is 6683754.

Thus, GCF of Fractions is 2/6683754.Finally, GCF of Fractions for 96/714, 916/814, 526/966 is 2/6683754.