How to Find GCF of 5801/733, 9422/187?

GCF of 5801/733, 9422/187

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 5801/733, 9422/187 i.e 1/137071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5801/733, 9422/187.

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 5801/733,9422/187?

Given fractions are 5801/733,9422/187

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 5801/733,9422/187, numerators are 5801,9422

Denominators are 733,187

The GCF of 5801,9422 is 1 .

LCM of 733,187 is 137071.

The greatest common factor of 5801/733,9422/187 = [GCF of 5801,9422]/[LCM of 733,187]= 1/137071

Therefore, the GCF of 5801/733,9422/187 is 1/137071.

Greatest Common Factor of 5801,9422

To find the highest common factor of 5801,9422, we have to find the factors of both numbers and list the highest common factor.

The factors of 5801 are 1, 5801

The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422

The HCF of 5801,9422 is 1.

Lets's calculate GCF of 5801,9422

Greatest Common Factor (GCF) of 5801,9422 By Common Division

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

Greatest Common Factor of 5801,9422 By Matching Biggest Common Factor Method

Now, list down the factors of 5801

1,5801

Now, list down the factors of 9422

1,2,7,14,673,1346,4711,9422

Greatest Common Factor

We found the factors 5801,9422 . The biggest common factor number is the GCF number.
So the greatest common factor 5801,9422 is 1.

Lets's calculate LCM of 733,187

Lowest Common Multiple of 733,187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 137071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137071

Therefore, the GCF of Fractions 5801/733,9422/187 is 1/137071

Least Common Multiple of 733,187 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 733,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,187) = 1

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

GCF(733,187) x common factors =1 x 1 = 1

LCM(733,187) = ( 733 × 187 ) / 1

LCM(733,187) = 137071 / 1

LCM(733,187) = 137071

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FAQs on GCF of Fractions of 5801/733, 9422/187

1. What is the HCF of 5801,9422?

The HCF of 5801,9422 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 5801/733, 9422/187?

Answer: GCF of Numerators as per given numbers 5801/733, 9422/187 is

GCF of Numerators i.e. for 5801,9422 is 1

LCM of denominators i.e. for 733,187 is 137071.

Thus, GCF of Fractions is 1/137071.Finally, GCF of Fractions for 5801/733, 9422/187 is 1/137071.