Greatest Common Factor of 696/784, 222/947, 358/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/784, 222/947, 358/566

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 696/784,222/947,358/566

Given fractions are 696/784,222/947,358/566

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 696,222,358

Greatest Common Factor of Numerators i.e. GCF of 696,222,358 is 2 .

LCM of Denominators means LCM of 784,947,566 as per the given fractions.

LCM of 784,947,566 is 210112784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,222,358

GCF of Fractions 696/784,222/947,358/566 is 2/210112784

2 696, 222, 358
348, 111, 179

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

Greatest Common Factor of 696,222,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,222,358 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 696,222,358 . The biggest common factor number is the GCF number.
So the greatest common factor 696,222,358 is 2.

Lets's calculate LCM of 784,947,566

2 784, 947, 566
392, 947, 283

∴ So the LCM of the given numbers is 2 x 392 x 947 x 283 = 210112784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210112784

Therefore, the GCF of Fractions 696/784,222/947,358/566 is 2/210112784

Least Common Multiple of 784,947,566 with GCF Formula

Least Common Multiple of 784,947,566 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 784,947,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,947,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(784,947,566) x common factors =1 x 2 = 2

LCM(784,947,566) = ( 784 × 947 × 566 ) / 2

LCM(784,947,566) = 420225568 / 2

LCM(784,947,566) = 210112784


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 696/784, 222/947, 358/566

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 696/784, 222/947, 358/566?

Answer: GCF of Numerators as per given numbers 696/784, 222/947, 358/566 is

GCF of Numerators i.e. for 696,222,358 is 2

LCM of denominators i.e. for 784,947,566 is 210112784.

Thus, GCF of Fractions is 2/210112784.Finally, GCF of Fractions for 696/784, 222/947, 358/566 is 2/210112784.