How to Find GCF of 6601/780, 5702/2492?

GCF of 6601/780, 5702/2492

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 6601/780, 5702/2492 i.e 1/485940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6601/780, 5702/2492.

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 6601/780,5702/2492?

Given fractions are 6601/780,5702/2492

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 6601/780,5702/2492, numerators are 6601,5702

Denominators are 780,2492

The GCF of 6601,5702 is 1 .

LCM of 780,2492 is 485940.

The greatest common factor of 6601/780,5702/2492 = [GCF of 6601,5702]/[LCM of 780,2492]= 1/485940

Therefore, the GCF of 6601/780,5702/2492 is 1/485940.

Greatest Common Factor of 6601,5702

To find the highest common factor of 6601,5702, we have to find the factors of both numbers and list the highest common factor.

The factors of 6601 are 1, 7, 23, 41, 161, 287, 943, 6601

The factors of 5702 are 1, 2, 2851, 5702

The HCF of 6601,5702 is 1.

Lets's calculate GCF of 6601,5702

Greatest Common Factor (GCF) of 6601,5702 By Common Division

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

Greatest Common Factor of 6601,5702 By Matching Biggest Common Factor Method

Now, list down the factors of 6601

1,7,23,41,161,287,943,6601

Now, list down the factors of 5702

1,2,2851,5702

Greatest Common Factor

We found the factors 6601,5702 . The biggest common factor number is the GCF number.
So the greatest common factor 6601,5702 is 1.

Lets's calculate LCM of 780,2492

Lowest Common Multiple of 780,2492 using Common Division

2	780, 2492
2	390, 1246
	195, 623

∴ So the LCM of the given numbers is 2 x 2 x 195 x 623 = 485940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485940

Therefore, the GCF of Fractions 6601/780,5702/2492 is 1/485940

Least Common Multiple of 780,2492 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 780,2492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,2492) = 4

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

GCF(780,2492) x common factors =4 x 1 = 4

LCM(780,2492) = ( 780 × 2492 ) / 4

LCM(780,2492) = 1943760 / 4

LCM(780,2492) = 485940

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FAQs on GCF of Fractions of 6601/780, 5702/2492

1. What is the HCF of 6601,5702?

The HCF of 6601,5702 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 6601/780, 5702/2492?

Answer: GCF of Numerators as per given numbers 6601/780, 5702/2492 is

GCF of Numerators i.e. for 6601,5702 is 1

LCM of denominators i.e. for 780,2492 is 485940.

Thus, GCF of Fractions is 1/485940.Finally, GCF of Fractions for 6601/780, 5702/2492 is 1/485940.