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 556/256, 1604/674

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 556/256, 1604/674 i.e 4/86272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/256, 1604/674.

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 556/256,1604/674?

Given fractions are 556/256,1604/674

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 556/256,1604/674, numerators are 556,1604

Denominators are 256,674

The GCF of 556,1604 is 4 .

LCM of 256,674 is 86272.

The greatest common factor of 556/256,1604/674 = [GCF of 556,1604]/[LCM of 256,674]= 4/86272

Therefore, the GCF of 556/256,1604/674 is 4/86272.

Greatest Common Factor of 556,1604

To find the highest common factor of 556,1604, we have to find the factors of both numbers and list the highest common factor.

The factors of 556 are 1, 2, 4, 139, 278, 556

The factors of 1604 are 1, 2, 4, 401, 802, 1604

The HCF of 556,1604 is 4.

Lets's calculate GCF of 556,1604

Greatest Common Factor (GCF) of 556,1604 By Common Division

2 556, 1604
2 278, 802
139, 401

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

Greatest Common Factor of 556,1604 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,1604 By Matching Biggest Common Factor Method

Now, list down the factors of 556

:

1,2,4,139,278,556

Now, list down the factors of 1604

:

1,2,4,401,802,1604

Greatest Common Factor

We found the factors 556,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 556,1604 is 4.

Lets's calculate LCM of 256,674

Lowest Common Multiple of 256,674 using Common Division

2 256, 674
128, 337

∴ So the LCM of the given numbers is 2 x 128 x 337 = 86272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/86272

Therefore, the GCF of Fractions 556/256,1604/674 is 4/86272

Least Common Multiple of 256,674 with GCF Formula

Least Common Multiple of 256,674 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 256,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,674) = 2

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

GCF(256,674) x common factors =2 x 1 = 2

LCM(256,674) = ( 256 × 674 ) / 2

LCM(256,674) = 172544 / 2

LCM(256,674) = 86272


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 556/256, 1604/674

1. What is the HCF of 556,1604?

The HCF of 556,1604 is 4

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 556/256, 1604/674?

Answer: GCF of Numerators as per given numbers 556/256, 1604/674 is

GCF of Numerators i.e. for 556,1604 is 4

LCM of denominators i.e. for 256,674 is 86272.

Thus, GCF of Fractions is 4/86272.Finally, GCF of Fractions for 556/256, 1604/674 is 4/86272.