How to Find GCF of 446/988, 8770/484?

GCF of 446/988, 8770/484

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 446/988, 8770/484 i.e 2/119548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/988, 8770/484.

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 446/988,8770/484?

Given fractions are 446/988,8770/484

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 446/988,8770/484, numerators are 446,8770

Denominators are 988,484

The GCF of 446,8770 is 2 .

LCM of 988,484 is 119548.

The greatest common factor of 446/988,8770/484 = [GCF of 446,8770]/[LCM of 988,484]= 2/119548

Therefore, the GCF of 446/988,8770/484 is 2/119548.

Greatest Common Factor of 446,8770

To find the highest common factor of 446,8770, we have to find the factors of both numbers and list the highest common factor.

The factors of 446 are 1, 2, 223, 446

The factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770

The HCF of 446,8770 is 2.

Lets's calculate GCF of 446,8770

Greatest Common Factor (GCF) of 446,8770 By Common Division

2	446, 8770
	223, 4385

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

Greatest Common Factor of 446,8770 By Matching Biggest Common Factor Method

Now, list down the factors of 446

1,2,223,446

Now, list down the factors of 8770

1,2,5,10,877,1754,4385,8770

Greatest Common Factor

We found the factors 446,8770 . The biggest common factor number is the GCF number.
So the greatest common factor 446,8770 is 2.

Lets's calculate LCM of 988,484

Lowest Common Multiple of 988,484 using Common Division

2	988, 484
2	494, 242
	247, 121

∴ So the LCM of the given numbers is 2 x 2 x 247 x 121 = 119548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119548

Therefore, the GCF of Fractions 446/988,8770/484 is 2/119548

Least Common Multiple of 988,484 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 988,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,484) = 4

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

GCF(988,484) x common factors =4 x 1 = 4

LCM(988,484) = ( 988 × 484 ) / 4

LCM(988,484) = 478192 / 4

LCM(988,484) = 119548

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FAQs on GCF of Fractions of 446/988, 8770/484

1. What is the HCF of 446,8770?

The HCF of 446,8770 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 446/988, 8770/484?

Answer: GCF of Numerators as per given numbers 446/988, 8770/484 is

GCF of Numerators i.e. for 446,8770 is 2

LCM of denominators i.e. for 988,484 is 119548.

Thus, GCF of Fractions is 2/119548.Finally, GCF of Fractions for 446/988, 8770/484 is 2/119548.