How to Find GCF of 9676/243, 8818/7190?

GCF of 9676/243, 8818/7190

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 9676/243, 8818/7190 i.e 2/1747170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9676/243, 8818/7190.

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 9676/243,8818/7190?

Given fractions are 9676/243,8818/7190

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 9676/243,8818/7190, numerators are 9676,8818

Denominators are 243,7190

The GCF of 9676,8818 is 2 .

LCM of 243,7190 is 1747170.

The greatest common factor of 9676/243,8818/7190 = [GCF of 9676,8818]/[LCM of 243,7190]= 2/1747170

Therefore, the GCF of 9676/243,8818/7190 is 2/1747170.

Greatest Common Factor of 9676,8818

To find the highest common factor of 9676,8818, we have to find the factors of both numbers and list the highest common factor.

The factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676

The factors of 8818 are 1, 2, 4409, 8818

The HCF of 9676,8818 is 2.

Lets's calculate GCF of 9676,8818

Greatest Common Factor (GCF) of 9676,8818 By Common Division

2	9676, 8818
	4838, 4409

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

Greatest Common Factor of 9676,8818 By Matching Biggest Common Factor Method

Now, list down the factors of 9676

1,2,4,41,59,82,118,164,236,2419,4838,9676

Now, list down the factors of 8818

1,2,4409,8818

Greatest Common Factor

We found the factors 9676,8818 . The biggest common factor number is the GCF number.
So the greatest common factor 9676,8818 is 2.

Lets's calculate LCM of 243,7190

Lowest Common Multiple of 243,7190 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1747170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1747170

Therefore, the GCF of Fractions 9676/243,8818/7190 is 2/1747170

Least Common Multiple of 243,7190 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 243,7190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,7190) = 1

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

GCF(243,7190) x common factors =1 x 1 = 1

LCM(243,7190) = ( 243 × 7190 ) / 1

LCM(243,7190) = 1747170 / 1

LCM(243,7190) = 1747170

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FAQs on GCF of Fractions of 9676/243, 8818/7190

1. What is the HCF of 9676,8818?

The HCF of 9676,8818 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 9676/243, 8818/7190?

Answer: GCF of Numerators as per given numbers 9676/243, 8818/7190 is

GCF of Numerators i.e. for 9676,8818 is 2

LCM of denominators i.e. for 243,7190 is 1747170.

Thus, GCF of Fractions is 2/1747170.Finally, GCF of Fractions for 9676/243, 8818/7190 is 2/1747170.