Greatest Common Factor of 700/986, 116/288, 264/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/986, 116/288, 264/462

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 700/986,116/288,264/462

Given fractions are 700/986,116/288,264/462

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 700,116,264

Greatest Common Factor of Numerators i.e. GCF of 700,116,264 is 4 .

LCM of Denominators means LCM of 986,288,462 as per the given fractions.

LCM of 986,288,462 is 10932768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,116,264

GCF of Fractions 700/986,116/288,264/462 is 4/10932768

2 700, 116, 264
2 350, 58, 132
175, 29, 66

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 700,116,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,116,264 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 700,116,264 . The biggest common factor number is the GCF number.
So the greatest common factor 700,116,264 is 4.

Lets's calculate LCM of 986,288,462

2 986, 288, 462
3 493, 144, 231
493, 48, 77

∴ So the LCM of the given numbers is 2 x 3 x 493 x 48 x 77 = 10932768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10932768

Therefore, the GCF of Fractions 700/986,116/288,264/462 is 4/10932768

Least Common Multiple of 986,288,462 with GCF Formula

Least Common Multiple of 986,288,462 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 986,288,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,288,462) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(986,288,462) x common factors =2 x 6 = 12

LCM(986,288,462) = ( 986 × 288 × 462 ) / 12

LCM(986,288,462) = 131193216 / 12

LCM(986,288,462) = 10932768


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 700/986, 116/288, 264/462

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 700/986, 116/288, 264/462?

Answer: GCF of Numerators as per given numbers 700/986, 116/288, 264/462 is

GCF of Numerators i.e. for 700,116,264 is 4

LCM of denominators i.e. for 986,288,462 is 10932768.

Thus, GCF of Fractions is 4/10932768.Finally, GCF of Fractions for 700/986, 116/288, 264/462 is 4/10932768.