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GCF of 793/101, 442/174

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 793/101, 442/174 i.e 13/17574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/101, 442/174.

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 793/101,442/174?

Given fractions are 793/101,442/174

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 793/101,442/174, numerators are 793,442

Denominators are 101,174

The GCF of 793,442 is 13 .

LCM of 101,174 is 17574.

The greatest common factor of 793/101,442/174 = [GCF of 793,442]/[LCM of 101,174]= 13/17574

Therefore, the GCF of 793/101,442/174 is 13/17574.

Greatest Common Factor of 793,442

To find the highest common factor of 793,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 793 are 1, 13, 61, 793

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 793,442 is 13.

Lets's calculate GCF of 793,442

Greatest Common Factor (GCF) of 793,442 By Common Division

13 793, 442
61, 34

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 793,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,442 By Matching Biggest Common Factor Method

Now, list down the factors of 793

:

1,13,61,793

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 793,442 . The biggest common factor number is the GCF number.
So the greatest common factor 793,442 is 13.

Lets's calculate LCM of 101,174

Lowest Common Multiple of 101,174 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/17574

Therefore, the GCF of Fractions 793/101,442/174 is 13/17574

Least Common Multiple of 101,174 with GCF Formula

Least Common Multiple of 101,174 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 101,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,174) = 1

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

GCF(101,174) x common factors =1 x 1 = 1

LCM(101,174) = ( 101 × 174 ) / 1

LCM(101,174) = 17574 / 1

LCM(101,174) = 17574


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FAQs on GCF of Fractions of 793/101, 442/174

1. What is the HCF of 793,442?

The HCF of 793,442 is 13

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 793/101, 442/174?

Answer: GCF of Numerators as per given numbers 793/101, 442/174 is

GCF of Numerators i.e. for 793,442 is 13

LCM of denominators i.e. for 101,174 is 17574.

Thus, GCF of Fractions is 13/17574.Finally, GCF of Fractions for 793/101, 442/174 is 13/17574.