How to Find GCF of 3253/244, 8793/2956?

GCF of 3253/244, 8793/2956

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 3253/244, 8793/2956 i.e 1/180316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3253/244, 8793/2956.

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 3253/244,8793/2956?

Given fractions are 3253/244,8793/2956

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 3253/244,8793/2956, numerators are 3253,8793

Denominators are 244,2956

The GCF of 3253,8793 is 1 .

LCM of 244,2956 is 180316.

The greatest common factor of 3253/244,8793/2956 = [GCF of 3253,8793]/[LCM of 244,2956]= 1/180316

Therefore, the GCF of 3253/244,8793/2956 is 1/180316.

Greatest Common Factor of 3253,8793

To find the highest common factor of 3253,8793, we have to find the factors of both numbers and list the highest common factor.

The factors of 3253 are 1, 3253

The factors of 8793 are 1, 3, 9, 977, 2931, 8793

The HCF of 3253,8793 is 1.

Lets's calculate GCF of 3253,8793

Greatest Common Factor (GCF) of 3253,8793 By Common Division

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

Greatest Common Factor of 3253,8793 By Matching Biggest Common Factor Method

Now, list down the factors of 3253

1,3253

Now, list down the factors of 8793

1,3,9,977,2931,8793

Greatest Common Factor

We found the factors 3253,8793 . The biggest common factor number is the GCF number.
So the greatest common factor 3253,8793 is 1.

Lets's calculate LCM of 244,2956

Lowest Common Multiple of 244,2956 using Common Division

2	244, 2956
2	122, 1478
	61, 739

∴ So the LCM of the given numbers is 2 x 2 x 61 x 739 = 180316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180316

Therefore, the GCF of Fractions 3253/244,8793/2956 is 1/180316

Least Common Multiple of 244,2956 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 244,2956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,2956) = 4

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

GCF(244,2956) x common factors =4 x 1 = 4

LCM(244,2956) = ( 244 × 2956 ) / 4

LCM(244,2956) = 721264 / 4

LCM(244,2956) = 180316

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FAQs on GCF of Fractions of 3253/244, 8793/2956

1. What is the HCF of 3253,8793?

The HCF of 3253,8793 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 3253/244, 8793/2956?

Answer: GCF of Numerators as per given numbers 3253/244, 8793/2956 is

GCF of Numerators i.e. for 3253,8793 is 1

LCM of denominators i.e. for 244,2956 is 180316.

Thus, GCF of Fractions is 1/180316.Finally, GCF of Fractions for 3253/244, 8793/2956 is 1/180316.