How to Find GCF of 8710/200, 4108/6121?

GCF of 8710/200, 4108/6121

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 8710/200, 4108/6121 i.e 26/1224200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8710/200, 4108/6121.

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 8710/200,4108/6121?

Given fractions are 8710/200,4108/6121

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 8710/200,4108/6121, numerators are 8710,4108

Denominators are 200,6121

The GCF of 8710,4108 is 26 .

LCM of 200,6121 is 1224200.

The greatest common factor of 8710/200,4108/6121 = [GCF of 8710,4108]/[LCM of 200,6121]= 26/1224200

Therefore, the GCF of 8710/200,4108/6121 is 26/1224200.

Greatest Common Factor of 8710,4108

To find the highest common factor of 8710,4108, we have to find the factors of both numbers and list the highest common factor.

The factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710

The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

The HCF of 8710,4108 is 26.

Lets's calculate GCF of 8710,4108

Greatest Common Factor (GCF) of 8710,4108 By Common Division

2	8710, 4108
13	4355, 2054
	335, 158

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 8710,4108 By Matching Biggest Common Factor Method

Now, list down the factors of 8710

1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710

Now, list down the factors of 4108

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 8710,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 8710,4108 is 26.

Lets's calculate LCM of 200,6121

Lowest Common Multiple of 200,6121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1224200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1224200

Therefore, the GCF of Fractions 8710/200,4108/6121 is 26/1224200

Least Common Multiple of 200,6121 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 200,6121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,6121) = 1

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

GCF(200,6121) x common factors =1 x 1 = 1

LCM(200,6121) = ( 200 × 6121 ) / 1

LCM(200,6121) = 1224200 / 1

LCM(200,6121) = 1224200

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FAQs on GCF of Fractions of 8710/200, 4108/6121

1. What is the HCF of 8710,4108?

The HCF of 8710,4108 is 26

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 8710/200, 4108/6121?

Answer: GCF of Numerators as per given numbers 8710/200, 4108/6121 is

GCF of Numerators i.e. for 8710,4108 is 26

LCM of denominators i.e. for 200,6121 is 1224200.

Thus, GCF of Fractions is 26/1224200.Finally, GCF of Fractions for 8710/200, 4108/6121 is 26/1224200.