How to Find GCF of 7582/740, 6217/2485?

GCF of 7582/740, 6217/2485

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 7582/740, 6217/2485 i.e 1/367780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7582/740, 6217/2485.

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 7582/740,6217/2485?

Given fractions are 7582/740,6217/2485

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 7582/740,6217/2485, numerators are 7582,6217

Denominators are 740,2485

The GCF of 7582,6217 is 1 .

LCM of 740,2485 is 367780.

The greatest common factor of 7582/740,6217/2485 = [GCF of 7582,6217]/[LCM of 740,2485]= 1/367780

Therefore, the GCF of 7582/740,6217/2485 is 1/367780.

Greatest Common Factor of 7582,6217

To find the highest common factor of 7582,6217, we have to find the factors of both numbers and list the highest common factor.

The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582

The factors of 6217 are 1, 6217

The HCF of 7582,6217 is 1.

Lets's calculate GCF of 7582,6217

Greatest Common Factor (GCF) of 7582,6217 By Common Division

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

Greatest Common Factor of 7582,6217 By Matching Biggest Common Factor Method

Now, list down the factors of 7582

1,2,17,34,223,446,3791,7582

Now, list down the factors of 6217

1,6217

Greatest Common Factor

We found the factors 7582,6217 . The biggest common factor number is the GCF number.
So the greatest common factor 7582,6217 is 1.

Lets's calculate LCM of 740,2485

Lowest Common Multiple of 740,2485 using Common Division

5	740, 2485
	148, 497

∴ So the LCM of the given numbers is 5 x 148 x 497 = 367780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367780

Therefore, the GCF of Fractions 7582/740,6217/2485 is 1/367780

Least Common Multiple of 740,2485 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 740,2485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,2485) = 5

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

GCF(740,2485) x common factors =5 x 1 = 5

LCM(740,2485) = ( 740 × 2485 ) / 5

LCM(740,2485) = 1838900 / 5

LCM(740,2485) = 367780

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FAQs on GCF of Fractions of 7582/740, 6217/2485

1. What is the HCF of 7582,6217?

The HCF of 7582,6217 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 7582/740, 6217/2485?

Answer: GCF of Numerators as per given numbers 7582/740, 6217/2485 is

GCF of Numerators i.e. for 7582,6217 is 1

LCM of denominators i.e. for 740,2485 is 367780.

Thus, GCF of Fractions is 1/367780.Finally, GCF of Fractions for 7582/740, 6217/2485 is 1/367780.