How to Find GCF of 8510/247, 7466/1594?

GCF of 8510/247, 7466/1594

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 8510/247, 7466/1594 i.e 2/393718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8510/247, 7466/1594.

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 8510/247,7466/1594?

Given fractions are 8510/247,7466/1594

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 8510/247,7466/1594, numerators are 8510,7466

Denominators are 247,1594

The GCF of 8510,7466 is 2 .

LCM of 247,1594 is 393718.

The greatest common factor of 8510/247,7466/1594 = [GCF of 8510,7466]/[LCM of 247,1594]= 2/393718

Therefore, the GCF of 8510/247,7466/1594 is 2/393718.

Greatest Common Factor of 8510,7466

To find the highest common factor of 8510,7466, we have to find the factors of both numbers and list the highest common factor.

The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510

The factors of 7466 are 1, 2, 3733, 7466

The HCF of 8510,7466 is 2.

Lets's calculate GCF of 8510,7466

Greatest Common Factor (GCF) of 8510,7466 By Common Division

2	8510, 7466
	4255, 3733

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8510,7466 By Matching Biggest Common Factor Method

Now, list down the factors of 8510

1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510

Now, list down the factors of 7466

1,2,3733,7466

Greatest Common Factor

We found the factors 8510,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 8510,7466 is 2.

Lets's calculate LCM of 247,1594

Lowest Common Multiple of 247,1594 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 393718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/393718

Therefore, the GCF of Fractions 8510/247,7466/1594 is 2/393718

Least Common Multiple of 247,1594 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 247,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,1594) = 1

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

GCF(247,1594) x common factors =1 x 1 = 1

LCM(247,1594) = ( 247 × 1594 ) / 1

LCM(247,1594) = 393718 / 1

LCM(247,1594) = 393718

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FAQs on GCF of Fractions of 8510/247, 7466/1594

1. What is the HCF of 8510,7466?

The HCF of 8510,7466 is 2

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 8510/247, 7466/1594?

Answer: GCF of Numerators as per given numbers 8510/247, 7466/1594 is

GCF of Numerators i.e. for 8510,7466 is 2

LCM of denominators i.e. for 247,1594 is 393718.

Thus, GCF of Fractions is 2/393718.Finally, GCF of Fractions for 8510/247, 7466/1594 is 2/393718.