How to Find GCF of 9169/860, 5281/604?

GCF of 9169/860, 5281/604

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 9169/860, 5281/604 i.e 1/129860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9169/860, 5281/604.

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 9169/860,5281/604?

Given fractions are 9169/860,5281/604

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 9169/860,5281/604, numerators are 9169,5281

Denominators are 860,604

The GCF of 9169,5281 is 1 .

LCM of 860,604 is 129860.

The greatest common factor of 9169/860,5281/604 = [GCF of 9169,5281]/[LCM of 860,604]= 1/129860

Therefore, the GCF of 9169/860,5281/604 is 1/129860.

Greatest Common Factor of 9169,5281

To find the highest common factor of 9169,5281, we have to find the factors of both numbers and list the highest common factor.

The factors of 9169 are 1, 53, 173, 9169

The factors of 5281 are 1, 5281

The HCF of 9169,5281 is 1.

Lets's calculate GCF of 9169,5281

Greatest Common Factor (GCF) of 9169,5281 By Common Division

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

Greatest Common Factor of 9169,5281 By Matching Biggest Common Factor Method

Now, list down the factors of 9169

1,53,173,9169

Now, list down the factors of 5281

1,5281

Greatest Common Factor

We found the factors 9169,5281 . The biggest common factor number is the GCF number.
So the greatest common factor 9169,5281 is 1.

Lets's calculate LCM of 860,604

Lowest Common Multiple of 860,604 using Common Division

2	860, 604
2	430, 302
	215, 151

∴ So the LCM of the given numbers is 2 x 2 x 215 x 151 = 129860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129860

Therefore, the GCF of Fractions 9169/860,5281/604 is 1/129860

Least Common Multiple of 860,604 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 860,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,604) = 4

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

GCF(860,604) x common factors =4 x 1 = 4

LCM(860,604) = ( 860 × 604 ) / 4

LCM(860,604) = 519440 / 4

LCM(860,604) = 129860

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FAQs on GCF of Fractions of 9169/860, 5281/604

1. What is the HCF of 9169,5281?

The HCF of 9169,5281 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 9169/860, 5281/604?

Answer: GCF of Numerators as per given numbers 9169/860, 5281/604 is

GCF of Numerators i.e. for 9169,5281 is 1

LCM of denominators i.e. for 860,604 is 129860.

Thus, GCF of Fractions is 1/129860.Finally, GCF of Fractions for 9169/860, 5281/604 is 1/129860.