How to Find GCF of 3601/769, 5083/9068?

GCF of 3601/769, 5083/9068

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 3601/769, 5083/9068 i.e 13/6973292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3601/769, 5083/9068.

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 3601/769,5083/9068?

Given fractions are 3601/769,5083/9068

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 3601/769,5083/9068, numerators are 3601,5083

Denominators are 769,9068

The GCF of 3601,5083 is 13 .

LCM of 769,9068 is 6973292.

The greatest common factor of 3601/769,5083/9068 = [GCF of 3601,5083]/[LCM of 769,9068]= 13/6973292

Therefore, the GCF of 3601/769,5083/9068 is 13/6973292.

Greatest Common Factor of 3601,5083

To find the highest common factor of 3601,5083, we have to find the factors of both numbers and list the highest common factor.

The factors of 3601 are 1, 13, 277, 3601

The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083

The HCF of 3601,5083 is 13.

Lets's calculate GCF of 3601,5083

Greatest Common Factor (GCF) of 3601,5083 By Common Division

13	3601, 5083
	277, 391

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3601,5083 By Matching Biggest Common Factor Method

Now, list down the factors of 3601

1,13,277,3601

Now, list down the factors of 5083

1,13,17,23,221,299,391,5083

Greatest Common Factor

We found the factors 3601,5083 . The biggest common factor number is the GCF number.
So the greatest common factor 3601,5083 is 13.

Lets's calculate LCM of 769,9068

Lowest Common Multiple of 769,9068 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6973292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6973292

Therefore, the GCF of Fractions 3601/769,5083/9068 is 13/6973292

Least Common Multiple of 769,9068 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 769,9068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,9068) = 1

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

GCF(769,9068) x common factors =1 x 1 = 1

LCM(769,9068) = ( 769 × 9068 ) / 1

LCM(769,9068) = 6973292 / 1

LCM(769,9068) = 6973292

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3601/769, 5083/9068

1. What is the HCF of 3601,5083?

The HCF of 3601,5083 is 13

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 3601/769, 5083/9068?

Answer: GCF of Numerators as per given numbers 3601/769, 5083/9068 is

GCF of Numerators i.e. for 3601,5083 is 13

LCM of denominators i.e. for 769,9068 is 6973292.

Thus, GCF of Fractions is 13/6973292.Finally, GCF of Fractions for 3601/769, 5083/9068 is 13/6973292.