How to Find GCF of 1037/383, 4541/168?

GCF of 1037/383, 4541/168

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 1037/383, 4541/168 i.e 1/64344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1037/383, 4541/168.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1037/383,4541/168?

Given fractions are 1037/383,4541/168

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 1037/383,4541/168, numerators are 1037,4541

Denominators are 383,168

The GCF of 1037,4541 is 1 .

LCM of 383,168 is 64344.

The greatest common factor of 1037/383,4541/168 = [GCF of 1037,4541]/[LCM of 383,168]= 1/64344

Therefore, the GCF of 1037/383,4541/168 is 1/64344.

Greatest Common Factor of 1037,4541

To find the highest common factor of 1037,4541, we have to find the factors of both numbers and list the highest common factor.

The factors of 1037 are 1, 17, 61, 1037

The factors of 4541 are 1, 19, 239, 4541

The HCF of 1037,4541 is 1.

Lets's calculate GCF of 1037,4541

Greatest Common Factor (GCF) of 1037,4541 By Common Division

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

Greatest Common Factor of 1037,4541 By Matching Biggest Common Factor Method

Now, list down the factors of 1037

1,17,61,1037

Now, list down the factors of 4541

1,19,239,4541

Greatest Common Factor

We found the factors 1037,4541 . The biggest common factor number is the GCF number.
So the greatest common factor 1037,4541 is 1.

Lets's calculate LCM of 383,168

Lowest Common Multiple of 383,168 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 64344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64344

Therefore, the GCF of Fractions 1037/383,4541/168 is 1/64344

Least Common Multiple of 383,168 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 383,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,168) = 1

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

GCF(383,168) x common factors =1 x 1 = 1

LCM(383,168) = ( 383 × 168 ) / 1

LCM(383,168) = 64344 / 1

LCM(383,168) = 64344

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FAQs on GCF of Fractions of 1037/383, 4541/168

1. What is the HCF of 1037,4541?

The HCF of 1037,4541 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 1037/383, 4541/168?

Answer: GCF of Numerators as per given numbers 1037/383, 4541/168 is

GCF of Numerators i.e. for 1037,4541 is 1

LCM of denominators i.e. for 383,168 is 64344.

Thus, GCF of Fractions is 1/64344.Finally, GCF of Fractions for 1037/383, 4541/168 is 1/64344.