How to Find GCF of 6041/577, 9095/8683?

GCF of 6041/577, 9095/8683

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 6041/577, 9095/8683 i.e 1/5010091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6041/577, 9095/8683.

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 6041/577,9095/8683?

Given fractions are 6041/577,9095/8683

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 6041/577,9095/8683, numerators are 6041,9095

Denominators are 577,8683

The GCF of 6041,9095 is 1 .

LCM of 577,8683 is 5010091.

The greatest common factor of 6041/577,9095/8683 = [GCF of 6041,9095]/[LCM of 577,8683]= 1/5010091

Therefore, the GCF of 6041/577,9095/8683 is 1/5010091.

Greatest Common Factor of 6041,9095

To find the highest common factor of 6041,9095, we have to find the factors of both numbers and list the highest common factor.

The factors of 6041 are 1, 7, 863, 6041

The factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095

The HCF of 6041,9095 is 1.

Lets's calculate GCF of 6041,9095

Greatest Common Factor (GCF) of 6041,9095 By Common Division

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

Greatest Common Factor of 6041,9095 By Matching Biggest Common Factor Method

Now, list down the factors of 6041

1,7,863,6041

Now, list down the factors of 9095

1,5,17,85,107,535,1819,9095

Greatest Common Factor

We found the factors 6041,9095 . The biggest common factor number is the GCF number.
So the greatest common factor 6041,9095 is 1.

Lets's calculate LCM of 577,8683

Lowest Common Multiple of 577,8683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5010091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5010091

Therefore, the GCF of Fractions 6041/577,9095/8683 is 1/5010091

Least Common Multiple of 577,8683 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 577,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,8683) = 1

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

GCF(577,8683) x common factors =1 x 1 = 1

LCM(577,8683) = ( 577 × 8683 ) / 1

LCM(577,8683) = 5010091 / 1

LCM(577,8683) = 5010091

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FAQs on GCF of Fractions of 6041/577, 9095/8683

1. What is the HCF of 6041,9095?

The HCF of 6041,9095 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 6041/577, 9095/8683?

Answer: GCF of Numerators as per given numbers 6041/577, 9095/8683 is

GCF of Numerators i.e. for 6041,9095 is 1

LCM of denominators i.e. for 577,8683 is 5010091.

Thus, GCF of Fractions is 1/5010091.Finally, GCF of Fractions for 6041/577, 9095/8683 is 1/5010091.