LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 256/18, 784/674

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 256/18, 784/674 i.e 16/6066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 256/18, 784/674.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 256/18,784/674?

Given fractions are 256/18,784/674

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 256/18,784/674, numerators are 256,784

Denominators are 18,674

The GCF of 256,784 is 16 .

LCM of 18,674 is 6066.

The greatest common factor of 256/18,784/674 = [GCF of 256,784]/[LCM of 18,674]= 16/6066

Therefore, the GCF of 256/18,784/674 is 16/6066.

Greatest Common Factor of 256,784

To find the highest common factor of 256,784, we have to find the factors of both numbers and list the highest common factor.

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

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

The HCF of 256,784 is 16.

Lets's calculate GCF of 256,784

Greatest Common Factor (GCF) of 256,784 By Common Division

2 256, 784
2 128, 392
2 64, 196
2 32, 98
16, 49

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

Greatest Common Factor of 256,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,784 By Matching Biggest Common Factor Method

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Now, list down the factors of 784

:

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

Greatest Common Factor

We found the factors 256,784 . The biggest common factor number is the GCF number.
So the greatest common factor 256,784 is 16.

Lets's calculate LCM of 18,674

Lowest Common Multiple of 18,674 using Common Division

2 18, 674
9, 337

∴ So the LCM of the given numbers is 2 x 9 x 337 = 6066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/6066

Therefore, the GCF of Fractions 256/18,784/674 is 16/6066

Least Common Multiple of 18,674 with GCF Formula

Least Common Multiple of 18,674 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 18,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,674) = 2

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

GCF(18,674) x common factors =2 x 1 = 2

LCM(18,674) = ( 18 × 674 ) / 2

LCM(18,674) = 12132 / 2

LCM(18,674) = 6066


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 256/18, 784/674

1. What is the HCF of 256,784?

The HCF of 256,784 is 16

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 256/18, 784/674?

Answer: GCF of Numerators as per given numbers 256/18, 784/674 is

GCF of Numerators i.e. for 256,784 is 16

LCM of denominators i.e. for 18,674 is 6066.

Thus, GCF of Fractions is 16/6066.Finally, GCF of Fractions for 256/18, 784/674 is 16/6066.