How to Find GCF of 9190/234, 5171/2602?

GCF of 9190/234, 5171/2602

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 9190/234, 5171/2602 i.e 1/304434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9190/234, 5171/2602.

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 9190/234,5171/2602?

Given fractions are 9190/234,5171/2602

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 9190/234,5171/2602, numerators are 9190,5171

Denominators are 234,2602

The GCF of 9190,5171 is 1 .

LCM of 234,2602 is 304434.

The greatest common factor of 9190/234,5171/2602 = [GCF of 9190,5171]/[LCM of 234,2602]= 1/304434

Therefore, the GCF of 9190/234,5171/2602 is 1/304434.

Greatest Common Factor of 9190,5171

To find the highest common factor of 9190,5171, we have to find the factors of both numbers and list the highest common factor.

The factors of 9190 are 1, 2, 5, 10, 919, 1838, 4595, 9190

The factors of 5171 are 1, 5171

The HCF of 9190,5171 is 1.

Lets's calculate GCF of 9190,5171

Greatest Common Factor (GCF) of 9190,5171 By Common Division

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

Greatest Common Factor of 9190,5171 By Matching Biggest Common Factor Method

Now, list down the factors of 9190

1,2,5,10,919,1838,4595,9190

Now, list down the factors of 5171

1,5171

Greatest Common Factor

We found the factors 9190,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 9190,5171 is 1.

Lets's calculate LCM of 234,2602

Lowest Common Multiple of 234,2602 using Common Division

2	234, 2602
	117, 1301

∴ So the LCM of the given numbers is 2 x 117 x 1301 = 304434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304434

Therefore, the GCF of Fractions 9190/234,5171/2602 is 1/304434

Least Common Multiple of 234,2602 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 234,2602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,2602) = 2

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

GCF(234,2602) x common factors =2 x 1 = 2

LCM(234,2602) = ( 234 × 2602 ) / 2

LCM(234,2602) = 608868 / 2

LCM(234,2602) = 304434

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FAQs on GCF of Fractions of 9190/234, 5171/2602

1. What is the HCF of 9190,5171?

The HCF of 9190,5171 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 9190/234, 5171/2602?

Answer: GCF of Numerators as per given numbers 9190/234, 5171/2602 is

GCF of Numerators i.e. for 9190,5171 is 1

LCM of denominators i.e. for 234,2602 is 304434.

Thus, GCF of Fractions is 1/304434.Finally, GCF of Fractions for 9190/234, 5171/2602 is 1/304434.