How to Find GCF of 798/890, 167/533?

GCF of 798/890, 167/533

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 798/890, 167/533 i.e 1/474370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 798/890, 167/533.

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 798/890,167/533?

Given fractions are 798/890,167/533

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 798/890,167/533, numerators are 798,167

Denominators are 890,533

The GCF of 798,167 is 1 .

LCM of 890,533 is 474370.

The greatest common factor of 798/890,167/533 = [GCF of 798,167]/[LCM of 890,533]= 1/474370

Therefore, the GCF of 798/890,167/533 is 1/474370.

Greatest Common Factor of 798,167

To find the highest common factor of 798,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

The factors of 167 are 1, 167

The HCF of 798,167 is 1.

Lets's calculate GCF of 798,167

Greatest Common Factor (GCF) of 798,167 By Common Division

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

Greatest Common Factor of 798,167 By Matching Biggest Common Factor Method

Now, list down the factors of 798

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Now, list down the factors of 167

1,167

Greatest Common Factor

We found the factors 798,167 . The biggest common factor number is the GCF number.
So the greatest common factor 798,167 is 1.

Lets's calculate LCM of 890,533

Lowest Common Multiple of 890,533 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 474370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474370

Therefore, the GCF of Fractions 798/890,167/533 is 1/474370

Least Common Multiple of 890,533 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 890,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,533) = 1

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

GCF(890,533) x common factors =1 x 1 = 1

LCM(890,533) = ( 890 × 533 ) / 1

LCM(890,533) = 474370 / 1

LCM(890,533) = 474370

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FAQs on GCF of Fractions of 798/890, 167/533

1. What is the HCF of 798,167?

The HCF of 798,167 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 798/890, 167/533?

Answer: GCF of Numerators as per given numbers 798/890, 167/533 is

GCF of Numerators i.e. for 798,167 is 1

LCM of denominators i.e. for 890,533 is 474370.

Thus, GCF of Fractions is 1/474370.Finally, GCF of Fractions for 798/890, 167/533 is 1/474370.