How to Find GCF of 9964/243, 1178/8969?

GCF of 9964/243, 1178/8969

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 9964/243, 1178/8969 i.e 2/2179467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9964/243, 1178/8969.

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 9964/243,1178/8969?

Given fractions are 9964/243,1178/8969

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 9964/243,1178/8969, numerators are 9964,1178

Denominators are 243,8969

The GCF of 9964,1178 is 2 .

LCM of 243,8969 is 2179467.

The greatest common factor of 9964/243,1178/8969 = [GCF of 9964,1178]/[LCM of 243,8969]= 2/2179467

Therefore, the GCF of 9964/243,1178/8969 is 2/2179467.

Greatest Common Factor of 9964,1178

To find the highest common factor of 9964,1178, we have to find the factors of both numbers and list the highest common factor.

The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178

The HCF of 9964,1178 is 2.

Lets's calculate GCF of 9964,1178

Greatest Common Factor (GCF) of 9964,1178 By Common Division

2	9964, 1178
	4982, 589

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

Greatest Common Factor of 9964,1178 By Matching Biggest Common Factor Method

Now, list down the factors of 9964

1,2,4,47,53,94,106,188,212,2491,4982,9964

Now, list down the factors of 1178

1,2,19,31,38,62,589,1178

Greatest Common Factor

We found the factors 9964,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 9964,1178 is 2.

Lets's calculate LCM of 243,8969

Lowest Common Multiple of 243,8969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2179467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2179467

Therefore, the GCF of Fractions 9964/243,1178/8969 is 2/2179467

Least Common Multiple of 243,8969 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 243,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,8969) = 1

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

GCF(243,8969) x common factors =1 x 1 = 1

LCM(243,8969) = ( 243 × 8969 ) / 1

LCM(243,8969) = 2179467 / 1

LCM(243,8969) = 2179467

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FAQs on GCF of Fractions of 9964/243, 1178/8969

1. What is the HCF of 9964,1178?

The HCF of 9964,1178 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 9964/243, 1178/8969?

Answer: GCF of Numerators as per given numbers 9964/243, 1178/8969 is

GCF of Numerators i.e. for 9964,1178 is 2

LCM of denominators i.e. for 243,8969 is 2179467.

Thus, GCF of Fractions is 2/2179467.Finally, GCF of Fractions for 9964/243, 1178/8969 is 2/2179467.