How to Find GCF of 9226/973, 3562/2789?

GCF of 9226/973, 3562/2789

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 9226/973, 3562/2789 i.e 2/2713697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9226/973, 3562/2789.

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 9226/973,3562/2789?

Given fractions are 9226/973,3562/2789

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 9226/973,3562/2789, numerators are 9226,3562

Denominators are 973,2789

The GCF of 9226,3562 is 2 .

LCM of 973,2789 is 2713697.

The greatest common factor of 9226/973,3562/2789 = [GCF of 9226,3562]/[LCM of 973,2789]= 2/2713697

Therefore, the GCF of 9226/973,3562/2789 is 2/2713697.

Greatest Common Factor of 9226,3562

To find the highest common factor of 9226,3562, we have to find the factors of both numbers and list the highest common factor.

The factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226

The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562

The HCF of 9226,3562 is 2.

Lets's calculate GCF of 9226,3562

Greatest Common Factor (GCF) of 9226,3562 By Common Division

2	9226, 3562
	4613, 1781

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

Greatest Common Factor of 9226,3562 By Matching Biggest Common Factor Method

Now, list down the factors of 9226

1,2,7,14,659,1318,4613,9226

Now, list down the factors of 3562

1,2,13,26,137,274,1781,3562

Greatest Common Factor

We found the factors 9226,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 9226,3562 is 2.

Lets's calculate LCM of 973,2789

Lowest Common Multiple of 973,2789 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2713697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2713697

Therefore, the GCF of Fractions 9226/973,3562/2789 is 2/2713697

Least Common Multiple of 973,2789 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 973,2789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,2789) = 1

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

GCF(973,2789) x common factors =1 x 1 = 1

LCM(973,2789) = ( 973 × 2789 ) / 1

LCM(973,2789) = 2713697 / 1

LCM(973,2789) = 2713697

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9226/973, 3562/2789

1. What is the HCF of 9226,3562?

The HCF of 9226,3562 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 9226/973, 3562/2789?

Answer: GCF of Numerators as per given numbers 9226/973, 3562/2789 is

GCF of Numerators i.e. for 9226,3562 is 2

LCM of denominators i.e. for 973,2789 is 2713697.

Thus, GCF of Fractions is 2/2713697.Finally, GCF of Fractions for 9226/973, 3562/2789 is 2/2713697.