How to Find GCF of 8986/421, 7458/918?

GCF of 8986/421, 7458/918

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 8986/421, 7458/918 i.e 2/386478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8986/421, 7458/918.

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 8986/421,7458/918?

Given fractions are 8986/421,7458/918

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 8986/421,7458/918, numerators are 8986,7458

Denominators are 421,918

The GCF of 8986,7458 is 2 .

LCM of 421,918 is 386478.

The greatest common factor of 8986/421,7458/918 = [GCF of 8986,7458]/[LCM of 421,918]= 2/386478

Therefore, the GCF of 8986/421,7458/918 is 2/386478.

Greatest Common Factor of 8986,7458

To find the highest common factor of 8986,7458, we have to find the factors of both numbers and list the highest common factor.

The factors of 8986 are 1, 2, 4493, 8986

The factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458

The HCF of 8986,7458 is 2.

Lets's calculate GCF of 8986,7458

Greatest Common Factor (GCF) of 8986,7458 By Common Division

2	8986, 7458
	4493, 3729

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

Greatest Common Factor of 8986,7458 By Matching Biggest Common Factor Method

Now, list down the factors of 8986

1,2,4493,8986

Now, list down the factors of 7458

1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458

Greatest Common Factor

We found the factors 8986,7458 . The biggest common factor number is the GCF number.
So the greatest common factor 8986,7458 is 2.

Lets's calculate LCM of 421,918

Lowest Common Multiple of 421,918 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 386478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/386478

Therefore, the GCF of Fractions 8986/421,7458/918 is 2/386478

Least Common Multiple of 421,918 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 421,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,918) = 1

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

GCF(421,918) x common factors =1 x 1 = 1

LCM(421,918) = ( 421 × 918 ) / 1

LCM(421,918) = 386478 / 1

LCM(421,918) = 386478

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FAQs on GCF of Fractions of 8986/421, 7458/918

1. What is the HCF of 8986,7458?

The HCF of 8986,7458 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 8986/421, 7458/918?

Answer: GCF of Numerators as per given numbers 8986/421, 7458/918 is

GCF of Numerators i.e. for 8986,7458 is 2

LCM of denominators i.e. for 421,918 is 386478.

Thus, GCF of Fractions is 2/386478.Finally, GCF of Fractions for 8986/421, 7458/918 is 2/386478.