How to Find GCF of 9178/700, 7193/590?

GCF of 9178/700, 7193/590

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 9178/700, 7193/590 i.e 1/41300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9178/700, 7193/590.

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 9178/700,7193/590?

Given fractions are 9178/700,7193/590

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 9178/700,7193/590, numerators are 9178,7193

Denominators are 700,590

The GCF of 9178,7193 is 1 .

LCM of 700,590 is 41300.

The greatest common factor of 9178/700,7193/590 = [GCF of 9178,7193]/[LCM of 700,590]= 1/41300

Therefore, the GCF of 9178/700,7193/590 is 1/41300.

Greatest Common Factor of 9178,7193

To find the highest common factor of 9178,7193, we have to find the factors of both numbers and list the highest common factor.

The factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178

The factors of 7193 are 1, 7193

The HCF of 9178,7193 is 1.

Lets's calculate GCF of 9178,7193

Greatest Common Factor (GCF) of 9178,7193 By Common Division

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

Greatest Common Factor of 9178,7193 By Matching Biggest Common Factor Method

Now, list down the factors of 9178

1,2,13,26,353,706,4589,9178

Now, list down the factors of 7193

1,7193

Greatest Common Factor

We found the factors 9178,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 9178,7193 is 1.

Lets's calculate LCM of 700,590

Lowest Common Multiple of 700,590 using Common Division

2	700, 590
5	350, 295
	70, 59

∴ So the LCM of the given numbers is 2 x 5 x 70 x 59 = 41300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41300

Therefore, the GCF of Fractions 9178/700,7193/590 is 1/41300

Least Common Multiple of 700,590 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 700,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,590) = 10

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

GCF(700,590) x common factors =10 x 1 = 10

LCM(700,590) = ( 700 × 590 ) / 10

LCM(700,590) = 413000 / 10

LCM(700,590) = 41300

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FAQs on GCF of Fractions of 9178/700, 7193/590

1. What is the HCF of 9178,7193?

The HCF of 9178,7193 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 9178/700, 7193/590?

Answer: GCF of Numerators as per given numbers 9178/700, 7193/590 is

GCF of Numerators i.e. for 9178,7193 is 1

LCM of denominators i.e. for 700,590 is 41300.

Thus, GCF of Fractions is 1/41300.Finally, GCF of Fractions for 9178/700, 7193/590 is 1/41300.