How to Find GCF of 7029/227, 3025/3936?

GCF of 7029/227, 3025/3936

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 7029/227, 3025/3936 i.e 11/893472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7029/227, 3025/3936.

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 7029/227,3025/3936?

Given fractions are 7029/227,3025/3936

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 7029/227,3025/3936, numerators are 7029,3025

Denominators are 227,3936

The GCF of 7029,3025 is 11 .

LCM of 227,3936 is 893472.

The greatest common factor of 7029/227,3025/3936 = [GCF of 7029,3025]/[LCM of 227,3936]= 11/893472

Therefore, the GCF of 7029/227,3025/3936 is 11/893472.

Greatest Common Factor of 7029,3025

To find the highest common factor of 7029,3025, we have to find the factors of both numbers and list the highest common factor.

The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029

The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025

The HCF of 7029,3025 is 11.

Lets's calculate GCF of 7029,3025

Greatest Common Factor (GCF) of 7029,3025 By Common Division

11	7029, 3025
	639, 275

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7029,3025 By Matching Biggest Common Factor Method

Now, list down the factors of 7029

1,3,9,11,33,71,99,213,639,781,2343,7029

Now, list down the factors of 3025

1,5,11,25,55,121,275,605,3025

Greatest Common Factor

We found the factors 7029,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 7029,3025 is 11.

Lets's calculate LCM of 227,3936

Lowest Common Multiple of 227,3936 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 893472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/893472

Therefore, the GCF of Fractions 7029/227,3025/3936 is 11/893472

Least Common Multiple of 227,3936 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 227,3936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,3936) = 1

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

GCF(227,3936) x common factors =1 x 1 = 1

LCM(227,3936) = ( 227 × 3936 ) / 1

LCM(227,3936) = 893472 / 1

LCM(227,3936) = 893472

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FAQs on GCF of Fractions of 7029/227, 3025/3936

1. What is the HCF of 7029,3025?

The HCF of 7029,3025 is 11

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 7029/227, 3025/3936?

Answer: GCF of Numerators as per given numbers 7029/227, 3025/3936 is

GCF of Numerators i.e. for 7029,3025 is 11

LCM of denominators i.e. for 227,3936 is 893472.

Thus, GCF of Fractions is 11/893472.Finally, GCF of Fractions for 7029/227, 3025/3936 is 11/893472.