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GCF of 4034/241, 7237/1427

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 4034/241, 7237/1427 i.e 1/343907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4034/241, 7237/1427.

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 4034/241,7237/1427?

Given fractions are 4034/241,7237/1427

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 4034/241,7237/1427, numerators are 4034,7237

Denominators are 241,1427

The GCF of 4034,7237 is 1 .

LCM of 241,1427 is 343907.

The greatest common factor of 4034/241,7237/1427 = [GCF of 4034,7237]/[LCM of 241,1427]= 1/343907

Therefore, the GCF of 4034/241,7237/1427 is 1/343907.

Greatest Common Factor of 4034,7237

To find the highest common factor of 4034,7237, we have to find the factors of both numbers and list the highest common factor.

The factors of 4034 are 1, 2, 2017, 4034

The factors of 7237 are 1, 7237

The HCF of 4034,7237 is 1.

Lets's calculate GCF of 4034,7237

Greatest Common Factor (GCF) of 4034,7237 By Common Division

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

Greatest Common Factor of 4034,7237 By Matching Biggest Common Factor Method

Greatest Common Factor of 4034,7237 By Matching Biggest Common Factor Method

Now, list down the factors of 4034

:

1,2,2017,4034

Now, list down the factors of 7237

:

1,7237

Greatest Common Factor

We found the factors 4034,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 4034,7237 is 1.

Lets's calculate LCM of 241,1427

Lowest Common Multiple of 241,1427 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 343907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343907

Therefore, the GCF of Fractions 4034/241,7237/1427 is 1/343907

Least Common Multiple of 241,1427 with GCF Formula

Least Common Multiple of 241,1427 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 241,1427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,1427) = 1

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

GCF(241,1427) x common factors =1 x 1 = 1

LCM(241,1427) = ( 241 × 1427 ) / 1

LCM(241,1427) = 343907 / 1

LCM(241,1427) = 343907


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FAQs on GCF of Fractions of 4034/241, 7237/1427

1. What is the HCF of 4034,7237?

The HCF of 4034,7237 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 4034/241, 7237/1427?

Answer: GCF of Numerators as per given numbers 4034/241, 7237/1427 is

GCF of Numerators i.e. for 4034,7237 is 1

LCM of denominators i.e. for 241,1427 is 343907.

Thus, GCF of Fractions is 1/343907.Finally, GCF of Fractions for 4034/241, 7237/1427 is 1/343907.