How to Find GCF of 2986/864, 6986/9197?

GCF of 2986/864, 6986/9197

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 2986/864, 6986/9197 i.e 2/7946208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2986/864, 6986/9197.

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 2986/864,6986/9197?

Given fractions are 2986/864,6986/9197

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 2986/864,6986/9197, numerators are 2986,6986

Denominators are 864,9197

The GCF of 2986,6986 is 2 .

LCM of 864,9197 is 7946208.

The greatest common factor of 2986/864,6986/9197 = [GCF of 2986,6986]/[LCM of 864,9197]= 2/7946208

Therefore, the GCF of 2986/864,6986/9197 is 2/7946208.

Greatest Common Factor of 2986,6986

To find the highest common factor of 2986,6986, we have to find the factors of both numbers and list the highest common factor.

The factors of 2986 are 1, 2, 1493, 2986

The factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986

The HCF of 2986,6986 is 2.

Lets's calculate GCF of 2986,6986

Greatest Common Factor (GCF) of 2986,6986 By Common Division

2	2986, 6986
	1493, 3493

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

Greatest Common Factor of 2986,6986 By Matching Biggest Common Factor Method

Now, list down the factors of 2986

1,2,1493,2986

Now, list down the factors of 6986

1,2,7,14,499,998,3493,6986

Greatest Common Factor

We found the factors 2986,6986 . The biggest common factor number is the GCF number.
So the greatest common factor 2986,6986 is 2.

Lets's calculate LCM of 864,9197

Lowest Common Multiple of 864,9197 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7946208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7946208

Therefore, the GCF of Fractions 2986/864,6986/9197 is 2/7946208

Least Common Multiple of 864,9197 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 864,9197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,9197) = 1

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

GCF(864,9197) x common factors =1 x 1 = 1

LCM(864,9197) = ( 864 × 9197 ) / 1

LCM(864,9197) = 7946208 / 1

LCM(864,9197) = 7946208

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FAQs on GCF of Fractions of 2986/864, 6986/9197

1. What is the HCF of 2986,6986?

The HCF of 2986,6986 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 2986/864, 6986/9197?

Answer: GCF of Numerators as per given numbers 2986/864, 6986/9197 is

GCF of Numerators i.e. for 2986,6986 is 2

LCM of denominators i.e. for 864,9197 is 7946208.

Thus, GCF of Fractions is 2/7946208.Finally, GCF of Fractions for 2986/864, 6986/9197 is 2/7946208.