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 598/26, 401/746

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 598/26, 401/746 i.e 1/9698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/26, 401/746.

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 598/26,401/746?

Given fractions are 598/26,401/746

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 598/26,401/746, numerators are 598,401

Denominators are 26,746

The GCF of 598,401 is 1 .

LCM of 26,746 is 9698.

The greatest common factor of 598/26,401/746 = [GCF of 598,401]/[LCM of 26,746]= 1/9698

Therefore, the GCF of 598/26,401/746 is 1/9698.

Greatest Common Factor of 598,401

To find the highest common factor of 598,401, we have to find the factors of both numbers and list the highest common factor.

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The factors of 401 are 1, 401

The HCF of 598,401 is 1.

Lets's calculate GCF of 598,401

Greatest Common Factor (GCF) of 598,401 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 598,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,401 By Matching Biggest Common Factor Method

Now, list down the factors of 598

:

1,2,13,23,26,46,299,598

Now, list down the factors of 401

:

1,401

Greatest Common Factor

We found the factors 598,401 . The biggest common factor number is the GCF number.
So the greatest common factor 598,401 is 1.

Lets's calculate LCM of 26,746

Lowest Common Multiple of 26,746 using Common Division

2 26, 746
13, 373

∴ So the LCM of the given numbers is 2 x 13 x 373 = 9698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9698

Therefore, the GCF of Fractions 598/26,401/746 is 1/9698

Least Common Multiple of 26,746 with GCF Formula

Least Common Multiple of 26,746 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 26,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,746) = 2

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

GCF(26,746) x common factors =2 x 1 = 2

LCM(26,746) = ( 26 × 746 ) / 2

LCM(26,746) = 19396 / 2

LCM(26,746) = 9698


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 598/26, 401/746

1. What is the HCF of 598,401?

The HCF of 598,401 is 1

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 598/26, 401/746?

Answer: GCF of Numerators as per given numbers 598/26, 401/746 is

GCF of Numerators i.e. for 598,401 is 1

LCM of denominators i.e. for 26,746 is 9698.

Thus, GCF of Fractions is 1/9698.Finally, GCF of Fractions for 598/26, 401/746 is 1/9698.