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GCF of 241/74, 598/734

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 241/74, 598/734 i.e 1/27158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 241/74, 598/734.

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 241/74,598/734?

Given fractions are 241/74,598/734

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 241/74,598/734, numerators are 241,598

Denominators are 74,734

The GCF of 241,598 is 1 .

LCM of 74,734 is 27158.

The greatest common factor of 241/74,598/734 = [GCF of 241,598]/[LCM of 74,734]= 1/27158

Therefore, the GCF of 241/74,598/734 is 1/27158.

Greatest Common Factor of 241,598

To find the highest common factor of 241,598, we have to find the factors of both numbers and list the highest common factor.

The factors of 241 are 1, 241

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

The HCF of 241,598 is 1.

Lets's calculate GCF of 241,598

Greatest Common Factor (GCF) of 241,598 By Common Division

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

Greatest Common Factor of 241,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,598 By Matching Biggest Common Factor Method

Now, list down the factors of 241

:

1,241

Now, list down the factors of 598

:

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

Greatest Common Factor

We found the factors 241,598 . The biggest common factor number is the GCF number.
So the greatest common factor 241,598 is 1.

Lets's calculate LCM of 74,734

Lowest Common Multiple of 74,734 using Common Division

2 74, 734
37, 367

∴ So the LCM of the given numbers is 2 x 37 x 367 = 27158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27158

Therefore, the GCF of Fractions 241/74,598/734 is 1/27158

Least Common Multiple of 74,734 with GCF Formula

Least Common Multiple of 74,734 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 74,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,734) = 2

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

GCF(74,734) x common factors =2 x 1 = 2

LCM(74,734) = ( 74 × 734 ) / 2

LCM(74,734) = 54316 / 2

LCM(74,734) = 27158


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FAQs on GCF of Fractions of 241/74, 598/734

1. What is the HCF of 241,598?

The HCF of 241,598 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 241/74, 598/734?

Answer: GCF of Numerators as per given numbers 241/74, 598/734 is

GCF of Numerators i.e. for 241,598 is 1

LCM of denominators i.e. for 74,734 is 27158.

Thus, GCF of Fractions is 1/27158.Finally, GCF of Fractions for 241/74, 598/734 is 1/27158.