How to Find GCF of 8502/200, 7546/3159?

GCF of 8502/200, 7546/3159

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 8502/200, 7546/3159 i.e 2/631800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8502/200, 7546/3159.

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 8502/200,7546/3159?

Given fractions are 8502/200,7546/3159

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 8502/200,7546/3159, numerators are 8502,7546

Denominators are 200,3159

The GCF of 8502,7546 is 2 .

LCM of 200,3159 is 631800.

The greatest common factor of 8502/200,7546/3159 = [GCF of 8502,7546]/[LCM of 200,3159]= 2/631800

Therefore, the GCF of 8502/200,7546/3159 is 2/631800.

Greatest Common Factor of 8502,7546

To find the highest common factor of 8502,7546, we have to find the factors of both numbers and list the highest common factor.

The factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502

The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546

The HCF of 8502,7546 is 2.

Lets's calculate GCF of 8502,7546

Greatest Common Factor (GCF) of 8502,7546 By Common Division

2	8502, 7546
	4251, 3773

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

Greatest Common Factor of 8502,7546 By Matching Biggest Common Factor Method

Now, list down the factors of 8502

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Now, list down the factors of 7546

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors 8502,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 8502,7546 is 2.

Lets's calculate LCM of 200,3159

Lowest Common Multiple of 200,3159 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 631800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/631800

Therefore, the GCF of Fractions 8502/200,7546/3159 is 2/631800

Least Common Multiple of 200,3159 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 200,3159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,3159) = 1

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

GCF(200,3159) x common factors =1 x 1 = 1

LCM(200,3159) = ( 200 × 3159 ) / 1

LCM(200,3159) = 631800 / 1

LCM(200,3159) = 631800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8502/200, 7546/3159

1. What is the HCF of 8502,7546?

The HCF of 8502,7546 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 8502/200, 7546/3159?

Answer: GCF of Numerators as per given numbers 8502/200, 7546/3159 is

GCF of Numerators i.e. for 8502,7546 is 2

LCM of denominators i.e. for 200,3159 is 631800.

Thus, GCF of Fractions is 2/631800.Finally, GCF of Fractions for 8502/200, 7546/3159 is 2/631800.