How to Find GCF of 8837/218, 6842/1590?

GCF of 8837/218, 6842/1590

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 8837/218, 6842/1590 i.e 1/173310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8837/218, 6842/1590.

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 8837/218,6842/1590?

Given fractions are 8837/218,6842/1590

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 8837/218,6842/1590, numerators are 8837,6842

Denominators are 218,1590

The GCF of 8837,6842 is 1 .

LCM of 218,1590 is 173310.

The greatest common factor of 8837/218,6842/1590 = [GCF of 8837,6842]/[LCM of 218,1590]= 1/173310

Therefore, the GCF of 8837/218,6842/1590 is 1/173310.

Greatest Common Factor of 8837,6842

To find the highest common factor of 8837,6842, we have to find the factors of both numbers and list the highest common factor.

The factors of 8837 are 1, 8837

The factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842

The HCF of 8837,6842 is 1.

Lets's calculate GCF of 8837,6842

Greatest Common Factor (GCF) of 8837,6842 By Common Division

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

Greatest Common Factor of 8837,6842 By Matching Biggest Common Factor Method

Now, list down the factors of 8837

1,8837

Now, list down the factors of 6842

1,2,11,22,311,622,3421,6842

Greatest Common Factor

We found the factors 8837,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 8837,6842 is 1.

Lets's calculate LCM of 218,1590

Lowest Common Multiple of 218,1590 using Common Division

2	218, 1590
	109, 795

∴ So the LCM of the given numbers is 2 x 109 x 795 = 173310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173310

Therefore, the GCF of Fractions 8837/218,6842/1590 is 1/173310

Least Common Multiple of 218,1590 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 218,1590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,1590) = 2

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

GCF(218,1590) x common factors =2 x 1 = 2

LCM(218,1590) = ( 218 × 1590 ) / 2

LCM(218,1590) = 346620 / 2

LCM(218,1590) = 173310

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FAQs on GCF of Fractions of 8837/218, 6842/1590

1. What is the HCF of 8837,6842?

The HCF of 8837,6842 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 8837/218, 6842/1590?

Answer: GCF of Numerators as per given numbers 8837/218, 6842/1590 is

GCF of Numerators i.e. for 8837,6842 is 1

LCM of denominators i.e. for 218,1590 is 173310.

Thus, GCF of Fractions is 1/173310.Finally, GCF of Fractions for 8837/218, 6842/1590 is 1/173310.