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GCF of 799/172, 859/121

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 799/172, 859/121 i.e 1/20812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/172, 859/121.

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 799/172,859/121?

Given fractions are 799/172,859/121

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 799/172,859/121, numerators are 799,859

Denominators are 172,121

The GCF of 799,859 is 1 .

LCM of 172,121 is 20812.

The greatest common factor of 799/172,859/121 = [GCF of 799,859]/[LCM of 172,121]= 1/20812

Therefore, the GCF of 799/172,859/121 is 1/20812.

Greatest Common Factor of 799,859

To find the highest common factor of 799,859, we have to find the factors of both numbers and list the highest common factor.

The factors of 799 are 1, 17, 47, 799

The factors of 859 are 1, 859

The HCF of 799,859 is 1.

Lets's calculate GCF of 799,859

Greatest Common Factor (GCF) of 799,859 By Common Division

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

Greatest Common Factor of 799,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,859 By Matching Biggest Common Factor Method

Now, list down the factors of 799

:

1,17,47,799

Now, list down the factors of 859

:

1,859

Greatest Common Factor

We found the factors 799,859 . The biggest common factor number is the GCF number.
So the greatest common factor 799,859 is 1.

Lets's calculate LCM of 172,121

Lowest Common Multiple of 172,121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20812

Therefore, the GCF of Fractions 799/172,859/121 is 1/20812

Least Common Multiple of 172,121 with GCF Formula

Least Common Multiple of 172,121 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 172,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,121) = 1

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

GCF(172,121) x common factors =1 x 1 = 1

LCM(172,121) = ( 172 × 121 ) / 1

LCM(172,121) = 20812 / 1

LCM(172,121) = 20812


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FAQs on GCF of Fractions of 799/172, 859/121

1. What is the HCF of 799,859?

The HCF of 799,859 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 799/172, 859/121?

Answer: GCF of Numerators as per given numbers 799/172, 859/121 is

GCF of Numerators i.e. for 799,859 is 1

LCM of denominators i.e. for 172,121 is 20812.

Thus, GCF of Fractions is 1/20812.Finally, GCF of Fractions for 799/172, 859/121 is 1/20812.