How to Find GCF of 9747/468, 2243/8236?

GCF of 9747/468, 2243/8236

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 9747/468, 2243/8236 i.e 1/963612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9747/468, 2243/8236.

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 9747/468,2243/8236?

Given fractions are 9747/468,2243/8236

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 9747/468,2243/8236, numerators are 9747,2243

Denominators are 468,8236

The GCF of 9747,2243 is 1 .

LCM of 468,8236 is 963612.

The greatest common factor of 9747/468,2243/8236 = [GCF of 9747,2243]/[LCM of 468,8236]= 1/963612

Therefore, the GCF of 9747/468,2243/8236 is 1/963612.

Greatest Common Factor of 9747,2243

To find the highest common factor of 9747,2243, we have to find the factors of both numbers and list the highest common factor.

The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747

The factors of 2243 are 1, 2243

The HCF of 9747,2243 is 1.

Lets's calculate GCF of 9747,2243

Greatest Common Factor (GCF) of 9747,2243 By Common Division

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

Greatest Common Factor of 9747,2243 By Matching Biggest Common Factor Method

Now, list down the factors of 9747

1,3,9,19,27,57,171,361,513,1083,3249,9747

Now, list down the factors of 2243

1,2243

Greatest Common Factor

We found the factors 9747,2243 . The biggest common factor number is the GCF number.
So the greatest common factor 9747,2243 is 1.

Lets's calculate LCM of 468,8236

Lowest Common Multiple of 468,8236 using Common Division

2	468, 8236
2	234, 4118
	117, 2059

∴ So the LCM of the given numbers is 2 x 2 x 117 x 2059 = 963612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/963612

Therefore, the GCF of Fractions 9747/468,2243/8236 is 1/963612

Least Common Multiple of 468,8236 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 468,8236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,8236) = 4

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

GCF(468,8236) x common factors =4 x 1 = 4

LCM(468,8236) = ( 468 × 8236 ) / 4

LCM(468,8236) = 3854448 / 4

LCM(468,8236) = 963612

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FAQs on GCF of Fractions of 9747/468, 2243/8236

1. What is the HCF of 9747,2243?

The HCF of 9747,2243 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 9747/468, 2243/8236?

Answer: GCF of Numerators as per given numbers 9747/468, 2243/8236 is

GCF of Numerators i.e. for 9747,2243 is 1

LCM of denominators i.e. for 468,8236 is 963612.

Thus, GCF of Fractions is 1/963612.Finally, GCF of Fractions for 9747/468, 2243/8236 is 1/963612.