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GCF of 167/205, 689/996

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 167/205, 689/996 i.e 1/204180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/205, 689/996.

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 167/205,689/996?

Given fractions are 167/205,689/996

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 167/205,689/996, numerators are 167,689

Denominators are 205,996

The GCF of 167,689 is 1 .

LCM of 205,996 is 204180.

The greatest common factor of 167/205,689/996 = [GCF of 167,689]/[LCM of 205,996]= 1/204180

Therefore, the GCF of 167/205,689/996 is 1/204180.

Greatest Common Factor of 167,689

To find the highest common factor of 167,689, 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 689 are 1, 13, 53, 689

The HCF of 167,689 is 1.

Lets's calculate GCF of 167,689

Greatest Common Factor (GCF) of 167,689 By Common Division

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

Greatest Common Factor of 167,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,689 By Matching Biggest Common Factor Method

Now, list down the factors of 167

:

1,167

Now, list down the factors of 689

:

1,13,53,689

Greatest Common Factor

We found the factors 167,689 . The biggest common factor number is the GCF number.
So the greatest common factor 167,689 is 1.

Lets's calculate LCM of 205,996

Lowest Common Multiple of 205,996 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 204180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204180

Therefore, the GCF of Fractions 167/205,689/996 is 1/204180

Least Common Multiple of 205,996 with GCF Formula

Least Common Multiple of 205,996 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 205,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,996) = 1

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

GCF(205,996) x common factors =1 x 1 = 1

LCM(205,996) = ( 205 × 996 ) / 1

LCM(205,996) = 204180 / 1

LCM(205,996) = 204180


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FAQs on GCF of Fractions of 167/205, 689/996

1. What is the HCF of 167,689?

The HCF of 167,689 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 167/205, 689/996?

Answer: GCF of Numerators as per given numbers 167/205, 689/996 is

GCF of Numerators i.e. for 167,689 is 1

LCM of denominators i.e. for 205,996 is 204180.

Thus, GCF of Fractions is 1/204180.Finally, GCF of Fractions for 167/205, 689/996 is 1/204180.