How to Find GCF of 4555/755, 9266/786?

GCF of 4555/755, 9266/786

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 4555/755, 9266/786 i.e 1/593430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4555/755, 9266/786.

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 4555/755,9266/786?

Given fractions are 4555/755,9266/786

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 4555/755,9266/786, numerators are 4555,9266

Denominators are 755,786

The GCF of 4555,9266 is 1 .

LCM of 755,786 is 593430.

The greatest common factor of 4555/755,9266/786 = [GCF of 4555,9266]/[LCM of 755,786]= 1/593430

Therefore, the GCF of 4555/755,9266/786 is 1/593430.

Greatest Common Factor of 4555,9266

To find the highest common factor of 4555,9266, we have to find the factors of both numbers and list the highest common factor.

The factors of 4555 are 1, 5, 911, 4555

The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266

The HCF of 4555,9266 is 1.

Lets's calculate GCF of 4555,9266

Greatest Common Factor (GCF) of 4555,9266 By Common Division

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

Greatest Common Factor of 4555,9266 By Matching Biggest Common Factor Method

Now, list down the factors of 4555

1,5,911,4555

Now, list down the factors of 9266

1,2,41,82,113,226,4633,9266

Greatest Common Factor

We found the factors 4555,9266 . The biggest common factor number is the GCF number.
So the greatest common factor 4555,9266 is 1.

Lets's calculate LCM of 755,786

Lowest Common Multiple of 755,786 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 593430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/593430

Therefore, the GCF of Fractions 4555/755,9266/786 is 1/593430

Least Common Multiple of 755,786 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 755,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,786) = 1

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

GCF(755,786) x common factors =1 x 1 = 1

LCM(755,786) = ( 755 × 786 ) / 1

LCM(755,786) = 593430 / 1

LCM(755,786) = 593430

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FAQs on GCF of Fractions of 4555/755, 9266/786

1. What is the HCF of 4555,9266?

The HCF of 4555,9266 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 4555/755, 9266/786?

Answer: GCF of Numerators as per given numbers 4555/755, 9266/786 is

GCF of Numerators i.e. for 4555,9266 is 1

LCM of denominators i.e. for 755,786 is 593430.

Thus, GCF of Fractions is 1/593430.Finally, GCF of Fractions for 4555/755, 9266/786 is 1/593430.