How to Find GCF of 517/780, 3586/6269?

GCF of 517/780, 3586/6269

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 517/780, 3586/6269 i.e 11/4889820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 517/780, 3586/6269.

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 517/780,3586/6269?

Given fractions are 517/780,3586/6269

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 517/780,3586/6269, numerators are 517,3586

Denominators are 780,6269

The GCF of 517,3586 is 11 .

LCM of 780,6269 is 4889820.

The greatest common factor of 517/780,3586/6269 = [GCF of 517,3586]/[LCM of 780,6269]= 11/4889820

Therefore, the GCF of 517/780,3586/6269 is 11/4889820.

Greatest Common Factor of 517,3586

To find the highest common factor of 517,3586, we have to find the factors of both numbers and list the highest common factor.

The factors of 517 are 1, 11, 47, 517

The factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586

The HCF of 517,3586 is 11.

Lets's calculate GCF of 517,3586

Greatest Common Factor (GCF) of 517,3586 By Common Division

11	517, 3586
	47, 326

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 517,3586 By Matching Biggest Common Factor Method

Now, list down the factors of 517

1,11,47,517

Now, list down the factors of 3586

1,2,11,22,163,326,1793,3586

Greatest Common Factor

We found the factors 517,3586 . The biggest common factor number is the GCF number.
So the greatest common factor 517,3586 is 11.

Lets's calculate LCM of 780,6269

Lowest Common Multiple of 780,6269 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4889820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4889820

Therefore, the GCF of Fractions 517/780,3586/6269 is 11/4889820

Least Common Multiple of 780,6269 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 780,6269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,6269) = 1

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

GCF(780,6269) x common factors =1 x 1 = 1

LCM(780,6269) = ( 780 × 6269 ) / 1

LCM(780,6269) = 4889820 / 1

LCM(780,6269) = 4889820

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FAQs on GCF of Fractions of 517/780, 3586/6269

1. What is the HCF of 517,3586?

The HCF of 517,3586 is 11

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 517/780, 3586/6269?

Answer: GCF of Numerators as per given numbers 517/780, 3586/6269 is

GCF of Numerators i.e. for 517,3586 is 11

LCM of denominators i.e. for 780,6269 is 4889820.

Thus, GCF of Fractions is 11/4889820.Finally, GCF of Fractions for 517/780, 3586/6269 is 11/4889820.