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GCF of 338/249, 601/235

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 338/249, 601/235 i.e 1/58515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 338/249, 601/235.

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 338/249,601/235?

Given fractions are 338/249,601/235

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 338/249,601/235, numerators are 338,601

Denominators are 249,235

The GCF of 338,601 is 1 .

LCM of 249,235 is 58515.

The greatest common factor of 338/249,601/235 = [GCF of 338,601]/[LCM of 249,235]= 1/58515

Therefore, the GCF of 338/249,601/235 is 1/58515.

Greatest Common Factor of 338,601

To find the highest common factor of 338,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 338 are 1, 2, 13, 26, 169, 338

The factors of 601 are 1, 601

The HCF of 338,601 is 1.

Lets's calculate GCF of 338,601

Greatest Common Factor (GCF) of 338,601 By Common Division

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

Greatest Common Factor of 338,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,601 By Matching Biggest Common Factor Method

Now, list down the factors of 338

:

1,2,13,26,169,338

Now, list down the factors of 601

:

1,601

Greatest Common Factor

We found the factors 338,601 . The biggest common factor number is the GCF number.
So the greatest common factor 338,601 is 1.

Lets's calculate LCM of 249,235

Lowest Common Multiple of 249,235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58515

Therefore, the GCF of Fractions 338/249,601/235 is 1/58515

Least Common Multiple of 249,235 with GCF Formula

Least Common Multiple of 249,235 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 249,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,235) = 1

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

GCF(249,235) x common factors =1 x 1 = 1

LCM(249,235) = ( 249 × 235 ) / 1

LCM(249,235) = 58515 / 1

LCM(249,235) = 58515


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FAQs on GCF of Fractions of 338/249, 601/235

1. What is the HCF of 338,601?

The HCF of 338,601 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 338/249, 601/235?

Answer: GCF of Numerators as per given numbers 338/249, 601/235 is

GCF of Numerators i.e. for 338,601 is 1

LCM of denominators i.e. for 249,235 is 58515.

Thus, GCF of Fractions is 1/58515.Finally, GCF of Fractions for 338/249, 601/235 is 1/58515.