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GCF of 849/168, 8074/6771

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 849/168, 8074/6771 i.e 1/379176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/168, 8074/6771.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 849/168,8074/6771?

Given fractions are 849/168,8074/6771

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 849/168,8074/6771, numerators are 849,8074

Denominators are 168,6771

The GCF of 849,8074 is 1 .

LCM of 168,6771 is 379176.

The greatest common factor of 849/168,8074/6771 = [GCF of 849,8074]/[LCM of 168,6771]= 1/379176

Therefore, the GCF of 849/168,8074/6771 is 1/379176.

Greatest Common Factor of 849,8074

To find the highest common factor of 849,8074, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074

The HCF of 849,8074 is 1.

Lets's calculate GCF of 849,8074

Greatest Common Factor (GCF) of 849,8074 By Common Division

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

Greatest Common Factor of 849,8074 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,8074 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 8074

:

1,2,11,22,367,734,4037,8074

Greatest Common Factor

We found the factors 849,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 849,8074 is 1.

Lets's calculate LCM of 168,6771

Lowest Common Multiple of 168,6771 using Common Division

3 168, 6771
56, 2257

∴ So the LCM of the given numbers is 3 x 56 x 2257 = 379176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379176

Therefore, the GCF of Fractions 849/168,8074/6771 is 1/379176

Least Common Multiple of 168,6771 with GCF Formula

Least Common Multiple of 168,6771 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 168,6771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,6771) = 3

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

GCF(168,6771) x common factors =3 x 1 = 3

LCM(168,6771) = ( 168 × 6771 ) / 3

LCM(168,6771) = 1137528 / 3

LCM(168,6771) = 379176


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FAQs on GCF of Fractions of 849/168, 8074/6771

1. What is the HCF of 849,8074?

The HCF of 849,8074 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 849/168, 8074/6771?

Answer: GCF of Numerators as per given numbers 849/168, 8074/6771 is

GCF of Numerators i.e. for 849,8074 is 1

LCM of denominators i.e. for 168,6771 is 379176.

Thus, GCF of Fractions is 1/379176.Finally, GCF of Fractions for 849/168, 8074/6771 is 1/379176.