How to Find GCF of 6118/806, 8951/6336?

GCF of 6118/806, 8951/6336

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 6118/806, 8951/6336 i.e 1/2553408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6118/806, 8951/6336.

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 6118/806,8951/6336?

Given fractions are 6118/806,8951/6336

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 6118/806,8951/6336, numerators are 6118,8951

Denominators are 806,6336

The GCF of 6118,8951 is 1 .

LCM of 806,6336 is 2553408.

The greatest common factor of 6118/806,8951/6336 = [GCF of 6118,8951]/[LCM of 806,6336]= 1/2553408

Therefore, the GCF of 6118/806,8951/6336 is 1/2553408.

Greatest Common Factor of 6118,8951

To find the highest common factor of 6118,8951, we have to find the factors of both numbers and list the highest common factor.

The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118

The factors of 8951 are 1, 8951

The HCF of 6118,8951 is 1.

Lets's calculate GCF of 6118,8951

Greatest Common Factor (GCF) of 6118,8951 By Common Division

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

Greatest Common Factor of 6118,8951 By Matching Biggest Common Factor Method

Now, list down the factors of 6118

1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118

Now, list down the factors of 8951

1,8951

Greatest Common Factor

We found the factors 6118,8951 . The biggest common factor number is the GCF number.
So the greatest common factor 6118,8951 is 1.

Lets's calculate LCM of 806,6336

Lowest Common Multiple of 806,6336 using Common Division

2	806, 6336
	403, 3168

∴ So the LCM of the given numbers is 2 x 403 x 3168 = 2553408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2553408

Therefore, the GCF of Fractions 6118/806,8951/6336 is 1/2553408

Least Common Multiple of 806,6336 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 806,6336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,6336) = 2

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

GCF(806,6336) x common factors =2 x 1 = 2

LCM(806,6336) = ( 806 × 6336 ) / 2

LCM(806,6336) = 5106816 / 2

LCM(806,6336) = 2553408

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FAQs on GCF of Fractions of 6118/806, 8951/6336

1. What is the HCF of 6118,8951?

The HCF of 6118,8951 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 6118/806, 8951/6336?

Answer: GCF of Numerators as per given numbers 6118/806, 8951/6336 is

GCF of Numerators i.e. for 6118,8951 is 1

LCM of denominators i.e. for 806,6336 is 2553408.

Thus, GCF of Fractions is 1/2553408.Finally, GCF of Fractions for 6118/806, 8951/6336 is 1/2553408.