How to Find GCF of 9037/775, 4213/9892?

GCF of 9037/775, 4213/9892

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 9037/775, 4213/9892 i.e 1/7666300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9037/775, 4213/9892.

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 9037/775,4213/9892?

Given fractions are 9037/775,4213/9892

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 9037/775,4213/9892, numerators are 9037,4213

Denominators are 775,9892

The GCF of 9037,4213 is 1 .

LCM of 775,9892 is 7666300.

The greatest common factor of 9037/775,4213/9892 = [GCF of 9037,4213]/[LCM of 775,9892]= 1/7666300

Therefore, the GCF of 9037/775,4213/9892 is 1/7666300.

Greatest Common Factor of 9037,4213

To find the highest common factor of 9037,4213, we have to find the factors of both numbers and list the highest common factor.

The factors of 9037 are 1, 7, 1291, 9037

The factors of 4213 are 1, 11, 383, 4213

The HCF of 9037,4213 is 1.

Lets's calculate GCF of 9037,4213

Greatest Common Factor (GCF) of 9037,4213 By Common Division

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

Greatest Common Factor of 9037,4213 By Matching Biggest Common Factor Method

Now, list down the factors of 9037

1,7,1291,9037

Now, list down the factors of 4213

1,11,383,4213

Greatest Common Factor

We found the factors 9037,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 9037,4213 is 1.

Lets's calculate LCM of 775,9892

Lowest Common Multiple of 775,9892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7666300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7666300

Therefore, the GCF of Fractions 9037/775,4213/9892 is 1/7666300

Least Common Multiple of 775,9892 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 775,9892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,9892) = 1

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

GCF(775,9892) x common factors =1 x 1 = 1

LCM(775,9892) = ( 775 × 9892 ) / 1

LCM(775,9892) = 7666300 / 1

LCM(775,9892) = 7666300

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FAQs on GCF of Fractions of 9037/775, 4213/9892

1. What is the HCF of 9037,4213?

The HCF of 9037,4213 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 9037/775, 4213/9892?

Answer: GCF of Numerators as per given numbers 9037/775, 4213/9892 is

GCF of Numerators i.e. for 9037,4213 is 1

LCM of denominators i.e. for 775,9892 is 7666300.

Thus, GCF of Fractions is 1/7666300.Finally, GCF of Fractions for 9037/775, 4213/9892 is 1/7666300.