How to Find GCF of 3077/571, 9129/3576?

GCF of 3077/571, 9129/3576

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 3077/571, 9129/3576 i.e 17/2041896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3077/571, 9129/3576.

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 3077/571,9129/3576?

Given fractions are 3077/571,9129/3576

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 3077/571,9129/3576, numerators are 3077,9129

Denominators are 571,3576

The GCF of 3077,9129 is 17 .

LCM of 571,3576 is 2041896.

The greatest common factor of 3077/571,9129/3576 = [GCF of 3077,9129]/[LCM of 571,3576]= 17/2041896

Therefore, the GCF of 3077/571,9129/3576 is 17/2041896.

Greatest Common Factor of 3077,9129

To find the highest common factor of 3077,9129, we have to find the factors of both numbers and list the highest common factor.

The factors of 3077 are 1, 17, 181, 3077

The factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129

The HCF of 3077,9129 is 17.

Lets's calculate GCF of 3077,9129

Greatest Common Factor (GCF) of 3077,9129 By Common Division

17	3077, 9129
	181, 537

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 3077,9129 By Matching Biggest Common Factor Method

Now, list down the factors of 3077

1,17,181,3077

Now, list down the factors of 9129

1,3,17,51,179,537,3043,9129

Greatest Common Factor

We found the factors 3077,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 3077,9129 is 17.

Lets's calculate LCM of 571,3576

Lowest Common Multiple of 571,3576 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2041896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2041896

Therefore, the GCF of Fractions 3077/571,9129/3576 is 17/2041896

Least Common Multiple of 571,3576 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 571,3576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,3576) = 1

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

GCF(571,3576) x common factors =1 x 1 = 1

LCM(571,3576) = ( 571 × 3576 ) / 1

LCM(571,3576) = 2041896 / 1

LCM(571,3576) = 2041896

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3077/571, 9129/3576

1. What is the HCF of 3077,9129?

The HCF of 3077,9129 is 17

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 3077/571, 9129/3576?

Answer: GCF of Numerators as per given numbers 3077/571, 9129/3576 is

GCF of Numerators i.e. for 3077,9129 is 17

LCM of denominators i.e. for 571,3576 is 2041896.

Thus, GCF of Fractions is 17/2041896.Finally, GCF of Fractions for 3077/571, 9129/3576 is 17/2041896.