How to Find GCF of 8986/147, 1652/706?

GCF of 8986/147, 1652/706

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 8986/147, 1652/706 i.e 2/103782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8986/147, 1652/706.

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 8986/147,1652/706?

Given fractions are 8986/147,1652/706

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 8986/147,1652/706, numerators are 8986,1652

Denominators are 147,706

The GCF of 8986,1652 is 2 .

LCM of 147,706 is 103782.

The greatest common factor of 8986/147,1652/706 = [GCF of 8986,1652]/[LCM of 147,706]= 2/103782

Therefore, the GCF of 8986/147,1652/706 is 2/103782.

Greatest Common Factor of 8986,1652

To find the highest common factor of 8986,1652, 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 1652 are 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652

The HCF of 8986,1652 is 2.

Lets's calculate GCF of 8986,1652

Greatest Common Factor (GCF) of 8986,1652 By Common Division

2	8986, 1652
	4493, 826

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

Greatest Common Factor of 8986,1652 By Matching Biggest Common Factor Method

Now, list down the factors of 8986

1,2,4493,8986

Now, list down the factors of 1652

1,2,4,7,14,28,59,118,236,413,826,1652

Greatest Common Factor

We found the factors 8986,1652 . The biggest common factor number is the GCF number.
So the greatest common factor 8986,1652 is 2.

Lets's calculate LCM of 147,706

Lowest Common Multiple of 147,706 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 103782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103782

Therefore, the GCF of Fractions 8986/147,1652/706 is 2/103782

Least Common Multiple of 147,706 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 147,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,706) = 1

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

GCF(147,706) x common factors =1 x 1 = 1

LCM(147,706) = ( 147 × 706 ) / 1

LCM(147,706) = 103782 / 1

LCM(147,706) = 103782

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FAQs on GCF of Fractions of 8986/147, 1652/706

1. What is the HCF of 8986,1652?

The HCF of 8986,1652 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 8986/147, 1652/706?

Answer: GCF of Numerators as per given numbers 8986/147, 1652/706 is

GCF of Numerators i.e. for 8986,1652 is 2

LCM of denominators i.e. for 147,706 is 103782.

Thus, GCF of Fractions is 2/103782.Finally, GCF of Fractions for 8986/147, 1652/706 is 2/103782.