How to Find GCF of 7202/446, 8899/2866?

GCF of 7202/446, 8899/2866

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 7202/446, 8899/2866 i.e 1/639118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7202/446, 8899/2866.

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 7202/446,8899/2866?

Given fractions are 7202/446,8899/2866

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 7202/446,8899/2866, numerators are 7202,8899

Denominators are 446,2866

The GCF of 7202,8899 is 1 .

LCM of 446,2866 is 639118.

The greatest common factor of 7202/446,8899/2866 = [GCF of 7202,8899]/[LCM of 446,2866]= 1/639118

Therefore, the GCF of 7202/446,8899/2866 is 1/639118.

Greatest Common Factor of 7202,8899

To find the highest common factor of 7202,8899, we have to find the factors of both numbers and list the highest common factor.

The factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202

The factors of 8899 are 1, 11, 809, 8899

The HCF of 7202,8899 is 1.

Lets's calculate GCF of 7202,8899

Greatest Common Factor (GCF) of 7202,8899 By Common Division

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

Greatest Common Factor of 7202,8899 By Matching Biggest Common Factor Method

Now, list down the factors of 7202

1,2,13,26,277,554,3601,7202

Now, list down the factors of 8899

1,11,809,8899

Greatest Common Factor

We found the factors 7202,8899 . The biggest common factor number is the GCF number.
So the greatest common factor 7202,8899 is 1.

Lets's calculate LCM of 446,2866

Lowest Common Multiple of 446,2866 using Common Division

2	446, 2866
	223, 1433

∴ So the LCM of the given numbers is 2 x 223 x 1433 = 639118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639118

Therefore, the GCF of Fractions 7202/446,8899/2866 is 1/639118

Least Common Multiple of 446,2866 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 446,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,2866) = 2

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

GCF(446,2866) x common factors =2 x 1 = 2

LCM(446,2866) = ( 446 × 2866 ) / 2

LCM(446,2866) = 1278236 / 2

LCM(446,2866) = 639118

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FAQs on GCF of Fractions of 7202/446, 8899/2866

1. What is the HCF of 7202,8899?

The HCF of 7202,8899 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 7202/446, 8899/2866?

Answer: GCF of Numerators as per given numbers 7202/446, 8899/2866 is

GCF of Numerators i.e. for 7202,8899 is 1

LCM of denominators i.e. for 446,2866 is 639118.

Thus, GCF of Fractions is 1/639118.Finally, GCF of Fractions for 7202/446, 8899/2866 is 1/639118.