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GCF of 893/268, 6166/144

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 893/268, 6166/144 i.e 1/9648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/268, 6166/144.

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 893/268,6166/144?

Given fractions are 893/268,6166/144

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 893/268,6166/144, numerators are 893,6166

Denominators are 268,144

The GCF of 893,6166 is 1 .

LCM of 268,144 is 9648.

The greatest common factor of 893/268,6166/144 = [GCF of 893,6166]/[LCM of 268,144]= 1/9648

Therefore, the GCF of 893/268,6166/144 is 1/9648.

Greatest Common Factor of 893,6166

To find the highest common factor of 893,6166, we have to find the factors of both numbers and list the highest common factor.

The factors of 893 are 1, 19, 47, 893

The factors of 6166 are 1, 2, 3083, 6166

The HCF of 893,6166 is 1.

Lets's calculate GCF of 893,6166

Greatest Common Factor (GCF) of 893,6166 By Common Division

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

Greatest Common Factor of 893,6166 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,6166 By Matching Biggest Common Factor Method

Now, list down the factors of 893

:

1,19,47,893

Now, list down the factors of 6166

:

1,2,3083,6166

Greatest Common Factor

We found the factors 893,6166 . The biggest common factor number is the GCF number.
So the greatest common factor 893,6166 is 1.

Lets's calculate LCM of 268,144

Lowest Common Multiple of 268,144 using Common Division

2 268, 144
2 134, 72
67, 36

∴ So the LCM of the given numbers is 2 x 2 x 67 x 36 = 9648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9648

Therefore, the GCF of Fractions 893/268,6166/144 is 1/9648

Least Common Multiple of 268,144 with GCF Formula

Least Common Multiple of 268,144 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 268,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,144) = 4

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

GCF(268,144) x common factors =4 x 1 = 4

LCM(268,144) = ( 268 × 144 ) / 4

LCM(268,144) = 38592 / 4

LCM(268,144) = 9648


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FAQs on GCF of Fractions of 893/268, 6166/144

1. What is the HCF of 893,6166?

The HCF of 893,6166 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 893/268, 6166/144?

Answer: GCF of Numerators as per given numbers 893/268, 6166/144 is

GCF of Numerators i.e. for 893,6166 is 1

LCM of denominators i.e. for 268,144 is 9648.

Thus, GCF of Fractions is 1/9648.Finally, GCF of Fractions for 893/268, 6166/144 is 1/9648.