How to Find GCF of 2605/684, 4527/7325?

GCF of 2605/684, 4527/7325

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 2605/684, 4527/7325 i.e 1/5010300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2605/684, 4527/7325.

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 2605/684,4527/7325?

Given fractions are 2605/684,4527/7325

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 2605/684,4527/7325, numerators are 2605,4527

Denominators are 684,7325

The GCF of 2605,4527 is 1 .

LCM of 684,7325 is 5010300.

The greatest common factor of 2605/684,4527/7325 = [GCF of 2605,4527]/[LCM of 684,7325]= 1/5010300

Therefore, the GCF of 2605/684,4527/7325 is 1/5010300.

Greatest Common Factor of 2605,4527

To find the highest common factor of 2605,4527, we have to find the factors of both numbers and list the highest common factor.

The factors of 2605 are 1, 5, 521, 2605

The factors of 4527 are 1, 3, 9, 503, 1509, 4527

The HCF of 2605,4527 is 1.

Lets's calculate GCF of 2605,4527

Greatest Common Factor (GCF) of 2605,4527 By Common Division

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

Greatest Common Factor of 2605,4527 By Matching Biggest Common Factor Method

Now, list down the factors of 2605

1,5,521,2605

Now, list down the factors of 4527

1,3,9,503,1509,4527

Greatest Common Factor

We found the factors 2605,4527 . The biggest common factor number is the GCF number.
So the greatest common factor 2605,4527 is 1.

Lets's calculate LCM of 684,7325

Lowest Common Multiple of 684,7325 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5010300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5010300

Therefore, the GCF of Fractions 2605/684,4527/7325 is 1/5010300

Least Common Multiple of 684,7325 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 684,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,7325) = 1

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

GCF(684,7325) x common factors =1 x 1 = 1

LCM(684,7325) = ( 684 × 7325 ) / 1

LCM(684,7325) = 5010300 / 1

LCM(684,7325) = 5010300

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FAQs on GCF of Fractions of 2605/684, 4527/7325

1. What is the HCF of 2605,4527?

The HCF of 2605,4527 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 2605/684, 4527/7325?

Answer: GCF of Numerators as per given numbers 2605/684, 4527/7325 is

GCF of Numerators i.e. for 2605,4527 is 1

LCM of denominators i.e. for 684,7325 is 5010300.

Thus, GCF of Fractions is 1/5010300.Finally, GCF of Fractions for 2605/684, 4527/7325 is 1/5010300.