How to Find GCF of 7572/235, 4406/5423?

GCF of 7572/235, 4406/5423

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 7572/235, 4406/5423 i.e 2/1274405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7572/235, 4406/5423.

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 7572/235,4406/5423?

Given fractions are 7572/235,4406/5423

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 7572/235,4406/5423, numerators are 7572,4406

Denominators are 235,5423

The GCF of 7572,4406 is 2 .

LCM of 235,5423 is 1274405.

The greatest common factor of 7572/235,4406/5423 = [GCF of 7572,4406]/[LCM of 235,5423]= 2/1274405

Therefore, the GCF of 7572/235,4406/5423 is 2/1274405.

Greatest Common Factor of 7572,4406

To find the highest common factor of 7572,4406, we have to find the factors of both numbers and list the highest common factor.

The factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572

The factors of 4406 are 1, 2, 2203, 4406

The HCF of 7572,4406 is 2.

Lets's calculate GCF of 7572,4406

Greatest Common Factor (GCF) of 7572,4406 By Common Division

2	7572, 4406
	3786, 2203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7572,4406 By Matching Biggest Common Factor Method

Now, list down the factors of 7572

1,2,3,4,6,12,631,1262,1893,2524,3786,7572

Now, list down the factors of 4406

1,2,2203,4406

Greatest Common Factor

We found the factors 7572,4406 . The biggest common factor number is the GCF number.
So the greatest common factor 7572,4406 is 2.

Lets's calculate LCM of 235,5423

Lowest Common Multiple of 235,5423 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1274405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1274405

Therefore, the GCF of Fractions 7572/235,4406/5423 is 2/1274405

Least Common Multiple of 235,5423 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 235,5423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,5423) = 1

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

GCF(235,5423) x common factors =1 x 1 = 1

LCM(235,5423) = ( 235 × 5423 ) / 1

LCM(235,5423) = 1274405 / 1

LCM(235,5423) = 1274405

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FAQs on GCF of Fractions of 7572/235, 4406/5423

1. What is the HCF of 7572,4406?

The HCF of 7572,4406 is 2

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 7572/235, 4406/5423?

Answer: GCF of Numerators as per given numbers 7572/235, 4406/5423 is

GCF of Numerators i.e. for 7572,4406 is 2

LCM of denominators i.e. for 235,5423 is 1274405.

Thus, GCF of Fractions is 2/1274405.Finally, GCF of Fractions for 7572/235, 4406/5423 is 2/1274405.