How to Find GCF of 8985/229, 4462/3972?

GCF of 8985/229, 4462/3972

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 8985/229, 4462/3972 i.e 1/909588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8985/229, 4462/3972.

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 8985/229,4462/3972?

Given fractions are 8985/229,4462/3972

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 8985/229,4462/3972, numerators are 8985,4462

Denominators are 229,3972

The GCF of 8985,4462 is 1 .

LCM of 229,3972 is 909588.

The greatest common factor of 8985/229,4462/3972 = [GCF of 8985,4462]/[LCM of 229,3972]= 1/909588

Therefore, the GCF of 8985/229,4462/3972 is 1/909588.

Greatest Common Factor of 8985,4462

To find the highest common factor of 8985,4462, we have to find the factors of both numbers and list the highest common factor.

The factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985

The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462

The HCF of 8985,4462 is 1.

Lets's calculate GCF of 8985,4462

Greatest Common Factor (GCF) of 8985,4462 By Common Division

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

Greatest Common Factor of 8985,4462 By Matching Biggest Common Factor Method

Now, list down the factors of 8985

1,3,5,15,599,1797,2995,8985

Now, list down the factors of 4462

1,2,23,46,97,194,2231,4462

Greatest Common Factor

We found the factors 8985,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 8985,4462 is 1.

Lets's calculate LCM of 229,3972

Lowest Common Multiple of 229,3972 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 909588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/909588

Therefore, the GCF of Fractions 8985/229,4462/3972 is 1/909588

Least Common Multiple of 229,3972 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 229,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,3972) = 1

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

GCF(229,3972) x common factors =1 x 1 = 1

LCM(229,3972) = ( 229 × 3972 ) / 1

LCM(229,3972) = 909588 / 1

LCM(229,3972) = 909588

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FAQs on GCF of Fractions of 8985/229, 4462/3972

1. What is the HCF of 8985,4462?

The HCF of 8985,4462 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 8985/229, 4462/3972?

Answer: GCF of Numerators as per given numbers 8985/229, 4462/3972 is

GCF of Numerators i.e. for 8985,4462 is 1

LCM of denominators i.e. for 229,3972 is 909588.

Thus, GCF of Fractions is 1/909588.Finally, GCF of Fractions for 8985/229, 4462/3972 is 1/909588.