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GCF of 144/388, 241/871

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 144/388, 241/871 i.e 1/337948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 144/388, 241/871.

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 144/388,241/871?

Given fractions are 144/388,241/871

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 144/388,241/871, numerators are 144,241

Denominators are 388,871

The GCF of 144,241 is 1 .

LCM of 388,871 is 337948.

The greatest common factor of 144/388,241/871 = [GCF of 144,241]/[LCM of 388,871]= 1/337948

Therefore, the GCF of 144/388,241/871 is 1/337948.

Greatest Common Factor of 144,241

To find the highest common factor of 144,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 241 are 1, 241

The HCF of 144,241 is 1.

Lets's calculate GCF of 144,241

Greatest Common Factor (GCF) of 144,241 By Common Division

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

Greatest Common Factor of 144,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,241 By Matching Biggest Common Factor Method

Now, list down the factors of 144

:

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Now, list down the factors of 241

:

1,241

Greatest Common Factor

We found the factors 144,241 . The biggest common factor number is the GCF number.
So the greatest common factor 144,241 is 1.

Lets's calculate LCM of 388,871

Lowest Common Multiple of 388,871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 337948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337948

Therefore, the GCF of Fractions 144/388,241/871 is 1/337948

Least Common Multiple of 388,871 with GCF Formula

Least Common Multiple of 388,871 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 388,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,871) = 1

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

GCF(388,871) x common factors =1 x 1 = 1

LCM(388,871) = ( 388 × 871 ) / 1

LCM(388,871) = 337948 / 1

LCM(388,871) = 337948


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FAQs on GCF of Fractions of 144/388, 241/871

1. What is the HCF of 144,241?

The HCF of 144,241 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 144/388, 241/871?

Answer: GCF of Numerators as per given numbers 144/388, 241/871 is

GCF of Numerators i.e. for 144,241 is 1

LCM of denominators i.e. for 388,871 is 337948.

Thus, GCF of Fractions is 1/337948.Finally, GCF of Fractions for 144/388, 241/871 is 1/337948.