How to Find GCF of 8341/444, 1145/5735?

GCF of 8341/444, 1145/5735

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 8341/444, 1145/5735 i.e 1/68820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8341/444, 1145/5735.

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 8341/444,1145/5735?

Given fractions are 8341/444,1145/5735

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 8341/444,1145/5735, numerators are 8341,1145

Denominators are 444,5735

The GCF of 8341,1145 is 1 .

LCM of 444,5735 is 68820.

The greatest common factor of 8341/444,1145/5735 = [GCF of 8341,1145]/[LCM of 444,5735]= 1/68820

Therefore, the GCF of 8341/444,1145/5735 is 1/68820.

Greatest Common Factor of 8341,1145

To find the highest common factor of 8341,1145, we have to find the factors of both numbers and list the highest common factor.

The factors of 8341 are 1, 19, 439, 8341

The factors of 1145 are 1, 5, 229, 1145

The HCF of 8341,1145 is 1.

Lets's calculate GCF of 8341,1145

Greatest Common Factor (GCF) of 8341,1145 By Common Division

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

Greatest Common Factor of 8341,1145 By Matching Biggest Common Factor Method

Now, list down the factors of 8341

1,19,439,8341

Now, list down the factors of 1145

1,5,229,1145

Greatest Common Factor

We found the factors 8341,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 8341,1145 is 1.

Lets's calculate LCM of 444,5735

Lowest Common Multiple of 444,5735 using Common Division

37	444, 5735
	12, 155

∴ So the LCM of the given numbers is 37 x 12 x 155 = 68820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68820

Therefore, the GCF of Fractions 8341/444,1145/5735 is 1/68820

Least Common Multiple of 444,5735 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 444,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,5735) = 37

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

GCF(444,5735) x common factors =37 x 1 = 37

LCM(444,5735) = ( 444 × 5735 ) / 37

LCM(444,5735) = 2546340 / 37

LCM(444,5735) = 68820

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FAQs on GCF of Fractions of 8341/444, 1145/5735

1. What is the HCF of 8341,1145?

The HCF of 8341,1145 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 8341/444, 1145/5735?

Answer: GCF of Numerators as per given numbers 8341/444, 1145/5735 is

GCF of Numerators i.e. for 8341,1145 is 1

LCM of denominators i.e. for 444,5735 is 68820.

Thus, GCF of Fractions is 1/68820.Finally, GCF of Fractions for 8341/444, 1145/5735 is 1/68820.