How to Find GCF of 6086/647, 2208/8264?

GCF of 6086/647, 2208/8264

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 6086/647, 2208/8264 i.e 2/5346808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6086/647, 2208/8264.

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 6086/647,2208/8264?

Given fractions are 6086/647,2208/8264

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 6086/647,2208/8264, numerators are 6086,2208

Denominators are 647,8264

The GCF of 6086,2208 is 2 .

LCM of 647,8264 is 5346808.

The greatest common factor of 6086/647,2208/8264 = [GCF of 6086,2208]/[LCM of 647,8264]= 2/5346808

Therefore, the GCF of 6086/647,2208/8264 is 2/5346808.

Greatest Common Factor of 6086,2208

To find the highest common factor of 6086,2208, we have to find the factors of both numbers and list the highest common factor.

The factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086

The factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208

The HCF of 6086,2208 is 2.

Lets's calculate GCF of 6086,2208

Greatest Common Factor (GCF) of 6086,2208 By Common Division

2	6086, 2208
	3043, 1104

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

Greatest Common Factor of 6086,2208 By Matching Biggest Common Factor Method

Now, list down the factors of 6086

1,2,17,34,179,358,3043,6086

Now, list down the factors of 2208

1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208

Greatest Common Factor

We found the factors 6086,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 6086,2208 is 2.

Lets's calculate LCM of 647,8264

Lowest Common Multiple of 647,8264 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5346808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5346808

Therefore, the GCF of Fractions 6086/647,2208/8264 is 2/5346808

Least Common Multiple of 647,8264 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 647,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,8264) = 1

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

GCF(647,8264) x common factors =1 x 1 = 1

LCM(647,8264) = ( 647 × 8264 ) / 1

LCM(647,8264) = 5346808 / 1

LCM(647,8264) = 5346808

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FAQs on GCF of Fractions of 6086/647, 2208/8264

1. What is the HCF of 6086,2208?

The HCF of 6086,2208 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 6086/647, 2208/8264?

Answer: GCF of Numerators as per given numbers 6086/647, 2208/8264 is

GCF of Numerators i.e. for 6086,2208 is 2

LCM of denominators i.e. for 647,8264 is 5346808.

Thus, GCF of Fractions is 2/5346808.Finally, GCF of Fractions for 6086/647, 2208/8264 is 2/5346808.