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GCF of 167/284, 5648/140

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 167/284, 5648/140 i.e 1/9940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/284, 5648/140.

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 167/284,5648/140?

Given fractions are 167/284,5648/140

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 167/284,5648/140, numerators are 167,5648

Denominators are 284,140

The GCF of 167,5648 is 1 .

LCM of 284,140 is 9940.

The greatest common factor of 167/284,5648/140 = [GCF of 167,5648]/[LCM of 284,140]= 1/9940

Therefore, the GCF of 167/284,5648/140 is 1/9940.

Greatest Common Factor of 167,5648

To find the highest common factor of 167,5648, we have to find the factors of both numbers and list the highest common factor.

The factors of 167 are 1, 167

The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

The HCF of 167,5648 is 1.

Lets's calculate GCF of 167,5648

Greatest Common Factor (GCF) of 167,5648 By Common Division

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

Greatest Common Factor of 167,5648 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,5648 By Matching Biggest Common Factor Method

Now, list down the factors of 167

:

1,167

Now, list down the factors of 5648

:

1,2,4,8,16,353,706,1412,2824,5648

Greatest Common Factor

We found the factors 167,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 167,5648 is 1.

Lets's calculate LCM of 284,140

Lowest Common Multiple of 284,140 using Common Division

2 284, 140
2 142, 70
71, 35

∴ So the LCM of the given numbers is 2 x 2 x 71 x 35 = 9940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9940

Therefore, the GCF of Fractions 167/284,5648/140 is 1/9940

Least Common Multiple of 284,140 with GCF Formula

Least Common Multiple of 284,140 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 284,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,140) = 4

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

GCF(284,140) x common factors =4 x 1 = 4

LCM(284,140) = ( 284 × 140 ) / 4

LCM(284,140) = 39760 / 4

LCM(284,140) = 9940


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FAQs on GCF of Fractions of 167/284, 5648/140

1. What is the HCF of 167,5648?

The HCF of 167,5648 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 167/284, 5648/140?

Answer: GCF of Numerators as per given numbers 167/284, 5648/140 is

GCF of Numerators i.e. for 167,5648 is 1

LCM of denominators i.e. for 284,140 is 9940.

Thus, GCF of Fractions is 1/9940.Finally, GCF of Fractions for 167/284, 5648/140 is 1/9940.