How to Find GCF of 7587/990, 2875/422?

GCF of 7587/990, 2875/422

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 7587/990, 2875/422 i.e 1/208890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7587/990, 2875/422.

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 7587/990,2875/422?

Given fractions are 7587/990,2875/422

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 7587/990,2875/422, numerators are 7587,2875

Denominators are 990,422

The GCF of 7587,2875 is 1 .

LCM of 990,422 is 208890.

The greatest common factor of 7587/990,2875/422 = [GCF of 7587,2875]/[LCM of 990,422]= 1/208890

Therefore, the GCF of 7587/990,2875/422 is 1/208890.

Greatest Common Factor of 7587,2875

To find the highest common factor of 7587,2875, we have to find the factors of both numbers and list the highest common factor.

The factors of 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587

The factors of 2875 are 1, 5, 23, 25, 115, 125, 575, 2875

The HCF of 7587,2875 is 1.

Lets's calculate GCF of 7587,2875

Greatest Common Factor (GCF) of 7587,2875 By Common Division

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

Greatest Common Factor of 7587,2875 By Matching Biggest Common Factor Method

Now, list down the factors of 7587

1,3,9,27,281,843,2529,7587

Now, list down the factors of 2875

1,5,23,25,115,125,575,2875

Greatest Common Factor

We found the factors 7587,2875 . The biggest common factor number is the GCF number.
So the greatest common factor 7587,2875 is 1.

Lets's calculate LCM of 990,422

Lowest Common Multiple of 990,422 using Common Division

2	990, 422
	495, 211

∴ So the LCM of the given numbers is 2 x 495 x 211 = 208890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208890

Therefore, the GCF of Fractions 7587/990,2875/422 is 1/208890

Least Common Multiple of 990,422 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 990,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,422) = 2

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

GCF(990,422) x common factors =2 x 1 = 2

LCM(990,422) = ( 990 × 422 ) / 2

LCM(990,422) = 417780 / 2

LCM(990,422) = 208890

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FAQs on GCF of Fractions of 7587/990, 2875/422

1. What is the HCF of 7587,2875?

The HCF of 7587,2875 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 7587/990, 2875/422?

Answer: GCF of Numerators as per given numbers 7587/990, 2875/422 is

GCF of Numerators i.e. for 7587,2875 is 1

LCM of denominators i.e. for 990,422 is 208890.

Thus, GCF of Fractions is 1/208890.Finally, GCF of Fractions for 7587/990, 2875/422 is 1/208890.