How to Find GCF of 2522/900, 7487/8449?

GCF of 2522/900, 7487/8449

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 2522/900, 7487/8449 i.e 1/7604100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2522/900, 7487/8449.

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 2522/900,7487/8449?

Given fractions are 2522/900,7487/8449

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 2522/900,7487/8449, numerators are 2522,7487

Denominators are 900,8449

The GCF of 2522,7487 is 1 .

LCM of 900,8449 is 7604100.

The greatest common factor of 2522/900,7487/8449 = [GCF of 2522,7487]/[LCM of 900,8449]= 1/7604100

Therefore, the GCF of 2522/900,7487/8449 is 1/7604100.

Greatest Common Factor of 2522,7487

To find the highest common factor of 2522,7487, we have to find the factors of both numbers and list the highest common factor.

The factors of 2522 are 1, 2, 13, 26, 97, 194, 1261, 2522

The factors of 7487 are 1, 7487

The HCF of 2522,7487 is 1.

Lets's calculate GCF of 2522,7487

Greatest Common Factor (GCF) of 2522,7487 By Common Division

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

Greatest Common Factor of 2522,7487 By Matching Biggest Common Factor Method

Now, list down the factors of 2522

1,2,13,26,97,194,1261,2522

Now, list down the factors of 7487

1,7487

Greatest Common Factor

We found the factors 2522,7487 . The biggest common factor number is the GCF number.
So the greatest common factor 2522,7487 is 1.

Lets's calculate LCM of 900,8449

Lowest Common Multiple of 900,8449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7604100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7604100

Therefore, the GCF of Fractions 2522/900,7487/8449 is 1/7604100

Least Common Multiple of 900,8449 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 900,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,8449) = 1

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

GCF(900,8449) x common factors =1 x 1 = 1

LCM(900,8449) = ( 900 × 8449 ) / 1

LCM(900,8449) = 7604100 / 1

LCM(900,8449) = 7604100

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FAQs on GCF of Fractions of 2522/900, 7487/8449

1. What is the HCF of 2522,7487?

The HCF of 2522,7487 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 2522/900, 7487/8449?

Answer: GCF of Numerators as per given numbers 2522/900, 7487/8449 is

GCF of Numerators i.e. for 2522,7487 is 1

LCM of denominators i.e. for 900,8449 is 7604100.

Thus, GCF of Fractions is 1/7604100.Finally, GCF of Fractions for 2522/900, 7487/8449 is 1/7604100.