Greatest Common Factor of 784/171, 834/824, 244/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/171, 834/824, 244/236

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 784/171,834/824,244/236

Given fractions are 784/171,834/824,244/236

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 784,834,244

Greatest Common Factor of Numerators i.e. GCF of 784,834,244 is 2 .

LCM of Denominators means LCM of 171,824,236 as per the given fractions.

LCM of 171,824,236 is 8313336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,834,244

GCF of Fractions 784/171,834/824,244/236 is 2/8313336

2 784, 834, 244
392, 417, 122

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

Greatest Common Factor of 784,834,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,834,244 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 784,834,244 . The biggest common factor number is the GCF number.
So the greatest common factor 784,834,244 is 2.

Lets's calculate LCM of 171,824,236

2 171, 824, 236
2 171, 412, 118
171, 206, 59

∴ So the LCM of the given numbers is 2 x 2 x 171 x 206 x 59 = 8313336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8313336

Therefore, the GCF of Fractions 784/171,834/824,244/236 is 2/8313336

Least Common Multiple of 171,824,236 with GCF Formula

Least Common Multiple of 171,824,236 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 171,824,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,824,236) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(171,824,236) x common factors =1 x 4 = 4

LCM(171,824,236) = ( 171 × 824 × 236 ) / 4

LCM(171,824,236) = 33253344 / 4

LCM(171,824,236) = 8313336


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 784/171, 834/824, 244/236

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 784/171, 834/824, 244/236?

Answer: GCF of Numerators as per given numbers 784/171, 834/824, 244/236 is

GCF of Numerators i.e. for 784,834,244 is 2

LCM of denominators i.e. for 171,824,236 is 8313336.

Thus, GCF of Fractions is 2/8313336.Finally, GCF of Fractions for 784/171, 834/824, 244/236 is 2/8313336.