How to Find GCF of 3025/663, 7335/4330?

GCF of 3025/663, 7335/4330

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 3025/663, 7335/4330 i.e 5/2870790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3025/663, 7335/4330.

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 3025/663,7335/4330?

Given fractions are 3025/663,7335/4330

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 3025/663,7335/4330, numerators are 3025,7335

Denominators are 663,4330

The GCF of 3025,7335 is 5 .

LCM of 663,4330 is 2870790.

The greatest common factor of 3025/663,7335/4330 = [GCF of 3025,7335]/[LCM of 663,4330]= 5/2870790

Therefore, the GCF of 3025/663,7335/4330 is 5/2870790.

Greatest Common Factor of 3025,7335

To find the highest common factor of 3025,7335, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335

The HCF of 3025,7335 is 5.

Lets's calculate GCF of 3025,7335

Greatest Common Factor (GCF) of 3025,7335 By Common Division

5	3025, 7335
	605, 1467

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3025,7335 By Matching Biggest Common Factor Method

Now, list down the factors of 3025

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

Now, list down the factors of 7335

1,3,5,9,15,45,163,489,815,1467,2445,7335

Greatest Common Factor

We found the factors 3025,7335 . The biggest common factor number is the GCF number.
So the greatest common factor 3025,7335 is 5.

Lets's calculate LCM of 663,4330

Lowest Common Multiple of 663,4330 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2870790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2870790

Therefore, the GCF of Fractions 3025/663,7335/4330 is 5/2870790

Least Common Multiple of 663,4330 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 663,4330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,4330) = 1

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

GCF(663,4330) x common factors =1 x 1 = 1

LCM(663,4330) = ( 663 × 4330 ) / 1

LCM(663,4330) = 2870790 / 1

LCM(663,4330) = 2870790

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FAQs on GCF of Fractions of 3025/663, 7335/4330

1. What is the HCF of 3025,7335?

The HCF of 3025,7335 is 5

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 3025/663, 7335/4330?

Answer: GCF of Numerators as per given numbers 3025/663, 7335/4330 is

GCF of Numerators i.e. for 3025,7335 is 5

LCM of denominators i.e. for 663,4330 is 2870790.

Thus, GCF of Fractions is 5/2870790.Finally, GCF of Fractions for 3025/663, 7335/4330 is 5/2870790.