How to Find GCF of 9218/687, 2068/7178?

GCF of 9218/687, 2068/7178

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 9218/687, 2068/7178 i.e 22/4931286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9218/687, 2068/7178.

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 9218/687,2068/7178?

Given fractions are 9218/687,2068/7178

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 9218/687,2068/7178, numerators are 9218,2068

Denominators are 687,7178

The GCF of 9218,2068 is 22 .

LCM of 687,7178 is 4931286.

The greatest common factor of 9218/687,2068/7178 = [GCF of 9218,2068]/[LCM of 687,7178]= 22/4931286

Therefore, the GCF of 9218/687,2068/7178 is 22/4931286.

Greatest Common Factor of 9218,2068

To find the highest common factor of 9218,2068, we have to find the factors of both numbers and list the highest common factor.

The factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218

The factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

The HCF of 9218,2068 is 22.

Lets's calculate GCF of 9218,2068

Greatest Common Factor (GCF) of 9218,2068 By Common Division

2	9218, 2068
11	4609, 1034
	419, 94

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 9218,2068 By Matching Biggest Common Factor Method

Now, list down the factors of 9218

1,2,11,22,419,838,4609,9218

Now, list down the factors of 2068

1,2,4,11,22,44,47,94,188,517,1034,2068

Greatest Common Factor

We found the factors 9218,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 9218,2068 is 22.

Lets's calculate LCM of 687,7178

Lowest Common Multiple of 687,7178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4931286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4931286

Therefore, the GCF of Fractions 9218/687,2068/7178 is 22/4931286

Least Common Multiple of 687,7178 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 687,7178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,7178) = 1

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

GCF(687,7178) x common factors =1 x 1 = 1

LCM(687,7178) = ( 687 × 7178 ) / 1

LCM(687,7178) = 4931286 / 1

LCM(687,7178) = 4931286

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FAQs on GCF of Fractions of 9218/687, 2068/7178

1. What is the HCF of 9218,2068?

The HCF of 9218,2068 is 22

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 9218/687, 2068/7178?

Answer: GCF of Numerators as per given numbers 9218/687, 2068/7178 is

GCF of Numerators i.e. for 9218,2068 is 22

LCM of denominators i.e. for 687,7178 is 4931286.

Thus, GCF of Fractions is 22/4931286.Finally, GCF of Fractions for 9218/687, 2068/7178 is 22/4931286.