Greatest Common Factor of 784/68, 8256/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/68, 8256/840

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 784/68,8256/840

Given fractions are 784/68,8256/840

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 784,8256

Greatest Common Factor of Numerators i.e. GCF of 784,8256 is 16 .

LCM of Denominators means LCM of 68,840 as per the given fractions.

LCM of 68,840 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,8256

GCF of Fractions 784/68,8256/840 is 16/14280

2 784, 8256
2 392, 4128
2 196, 2064
2 98, 1032
49, 516

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 784,8256 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,8256 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 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256

Greatest Common Factor

We found the factors 784,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 784,8256 is 16.

Lets's calculate LCM of 68,840

2 68, 840
2 34, 420
17, 210

∴ So the LCM of the given numbers is 2 x 2 x 17 x 210 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/14280

Therefore, the GCF of Fractions 784/68,8256/840 is 16/14280

Least Common Multiple of 68,840 with GCF Formula

Least Common Multiple of 68,840 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 68,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,840) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(68,840) x common factors =4 x 1 = 4

LCM(68,840) = ( 68 × 840 ) / 4

LCM(68,840) = 57120 / 4

LCM(68,840) = 14280


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 784/68, 8256/840

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 784/68, 8256/840?

Answer: GCF of Numerators as per given numbers 784/68, 8256/840 is

GCF of Numerators i.e. for 784,8256 is 16

LCM of denominators i.e. for 68,840 is 14280.

Thus, GCF of Fractions is 16/14280.Finally, GCF of Fractions for 784/68, 8256/840 is 16/14280.