How to Find GCF of 2477/360, 8575/8476?

GCF of 2477/360, 8575/8476

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 2477/360, 8575/8476 i.e 1/762840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2477/360, 8575/8476.

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 2477/360,8575/8476?

Given fractions are 2477/360,8575/8476

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 2477/360,8575/8476, numerators are 2477,8575

Denominators are 360,8476

The GCF of 2477,8575 is 1 .

LCM of 360,8476 is 762840.

The greatest common factor of 2477/360,8575/8476 = [GCF of 2477,8575]/[LCM of 360,8476]= 1/762840

Therefore, the GCF of 2477/360,8575/8476 is 1/762840.

Greatest Common Factor of 2477,8575

To find the highest common factor of 2477,8575, we have to find the factors of both numbers and list the highest common factor.

The factors of 2477 are 1, 2477

The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575

The HCF of 2477,8575 is 1.

Lets's calculate GCF of 2477,8575

Greatest Common Factor (GCF) of 2477,8575 By Common Division

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

Greatest Common Factor of 2477,8575 By Matching Biggest Common Factor Method

Now, list down the factors of 2477

1,2477

Now, list down the factors of 8575

1,5,7,25,35,49,175,245,343,1225,1715,8575

Greatest Common Factor

We found the factors 2477,8575 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,8575 is 1.

Lets's calculate LCM of 360,8476

Lowest Common Multiple of 360,8476 using Common Division

2	360, 8476
2	180, 4238
	90, 2119

∴ So the LCM of the given numbers is 2 x 2 x 90 x 2119 = 762840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762840

Therefore, the GCF of Fractions 2477/360,8575/8476 is 1/762840

Least Common Multiple of 360,8476 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 360,8476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,8476) = 4

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

GCF(360,8476) x common factors =4 x 1 = 4

LCM(360,8476) = ( 360 × 8476 ) / 4

LCM(360,8476) = 3051360 / 4

LCM(360,8476) = 762840

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FAQs on GCF of Fractions of 2477/360, 8575/8476

1. What is the HCF of 2477,8575?

The HCF of 2477,8575 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 2477/360, 8575/8476?

Answer: GCF of Numerators as per given numbers 2477/360, 8575/8476 is

GCF of Numerators i.e. for 2477,8575 is 1

LCM of denominators i.e. for 360,8476 is 762840.

Thus, GCF of Fractions is 1/762840.Finally, GCF of Fractions for 2477/360, 8575/8476 is 1/762840.