How to Find GCF of 9101/379, 7033/566?

GCF of 9101/379, 7033/566

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 9101/379, 7033/566 i.e 1/214514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9101/379, 7033/566.

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 9101/379,7033/566?

Given fractions are 9101/379,7033/566

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 9101/379,7033/566, numerators are 9101,7033

Denominators are 379,566

The GCF of 9101,7033 is 1 .

LCM of 379,566 is 214514.

The greatest common factor of 9101/379,7033/566 = [GCF of 9101,7033]/[LCM of 379,566]= 1/214514

Therefore, the GCF of 9101/379,7033/566 is 1/214514.

Greatest Common Factor of 9101,7033

To find the highest common factor of 9101,7033, we have to find the factors of both numbers and list the highest common factor.

The factors of 9101 are 1, 19, 479, 9101

The factors of 7033 are 1, 13, 541, 7033

The HCF of 9101,7033 is 1.

Lets's calculate GCF of 9101,7033

Greatest Common Factor (GCF) of 9101,7033 By Common Division

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

Greatest Common Factor of 9101,7033 By Matching Biggest Common Factor Method

Now, list down the factors of 9101

1,19,479,9101

Now, list down the factors of 7033

1,13,541,7033

Greatest Common Factor

We found the factors 9101,7033 . The biggest common factor number is the GCF number.
So the greatest common factor 9101,7033 is 1.

Lets's calculate LCM of 379,566

Lowest Common Multiple of 379,566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 214514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214514

Therefore, the GCF of Fractions 9101/379,7033/566 is 1/214514

Least Common Multiple of 379,566 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 379,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,566) = 1

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

GCF(379,566) x common factors =1 x 1 = 1

LCM(379,566) = ( 379 × 566 ) / 1

LCM(379,566) = 214514 / 1

LCM(379,566) = 214514

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FAQs on GCF of Fractions of 9101/379, 7033/566

1. What is the HCF of 9101,7033?

The HCF of 9101,7033 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 9101/379, 7033/566?

Answer: GCF of Numerators as per given numbers 9101/379, 7033/566 is

GCF of Numerators i.e. for 9101,7033 is 1

LCM of denominators i.e. for 379,566 is 214514.

Thus, GCF of Fractions is 1/214514.Finally, GCF of Fractions for 9101/379, 7033/566 is 1/214514.