How to Find GCF of 2243/312, 8994/3456?

GCF of 2243/312, 8994/3456

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 2243/312, 8994/3456 i.e 1/44928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2243/312, 8994/3456.

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 2243/312,8994/3456?

Given fractions are 2243/312,8994/3456

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 2243/312,8994/3456, numerators are 2243,8994

Denominators are 312,3456

The GCF of 2243,8994 is 1 .

LCM of 312,3456 is 44928.

The greatest common factor of 2243/312,8994/3456 = [GCF of 2243,8994]/[LCM of 312,3456]= 1/44928

Therefore, the GCF of 2243/312,8994/3456 is 1/44928.

Greatest Common Factor of 2243,8994

To find the highest common factor of 2243,8994, we have to find the factors of both numbers and list the highest common factor.

The factors of 2243 are 1, 2243

The factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994

The HCF of 2243,8994 is 1.

Lets's calculate GCF of 2243,8994

Greatest Common Factor (GCF) of 2243,8994 By Common Division

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

Greatest Common Factor of 2243,8994 By Matching Biggest Common Factor Method

Now, list down the factors of 2243

1,2243

Now, list down the factors of 8994

1,2,3,6,1499,2998,4497,8994

Greatest Common Factor

We found the factors 2243,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 2243,8994 is 1.

Lets's calculate LCM of 312,3456

Lowest Common Multiple of 312,3456 using Common Division

2	312, 3456
2	156, 1728
2	78, 864
3	39, 432
	13, 144

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 144 = 44928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44928

Therefore, the GCF of Fractions 2243/312,8994/3456 is 1/44928

Least Common Multiple of 312,3456 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 312,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,3456) = 24

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

GCF(312,3456) x common factors =24 x 1 = 24

LCM(312,3456) = ( 312 × 3456 ) / 24

LCM(312,3456) = 1078272 / 24

LCM(312,3456) = 44928

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2243/312, 8994/3456

1. What is the HCF of 2243,8994?

The HCF of 2243,8994 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 2243/312, 8994/3456?

Answer: GCF of Numerators as per given numbers 2243/312, 8994/3456 is

GCF of Numerators i.e. for 2243,8994 is 1

LCM of denominators i.e. for 312,3456 is 44928.

Thus, GCF of Fractions is 1/44928.Finally, GCF of Fractions for 2243/312, 8994/3456 is 1/44928.