How to Find GCF of 7333/479, 7387/3095?

GCF of 7333/479, 7387/3095

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 7333/479, 7387/3095 i.e 1/1482505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7333/479, 7387/3095.

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 7333/479,7387/3095?

Given fractions are 7333/479,7387/3095

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 7333/479,7387/3095, numerators are 7333,7387

Denominators are 479,3095

The GCF of 7333,7387 is 1 .

LCM of 479,3095 is 1482505.

The greatest common factor of 7333/479,7387/3095 = [GCF of 7333,7387]/[LCM of 479,3095]= 1/1482505

Therefore, the GCF of 7333/479,7387/3095 is 1/1482505.

Greatest Common Factor of 7333,7387

To find the highest common factor of 7333,7387, we have to find the factors of both numbers and list the highest common factor.

The factors of 7333 are 1, 7333

The factors of 7387 are 1, 83, 89, 7387

The HCF of 7333,7387 is 1.

Lets's calculate GCF of 7333,7387

Greatest Common Factor (GCF) of 7333,7387 By Common Division

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

Greatest Common Factor of 7333,7387 By Matching Biggest Common Factor Method

Now, list down the factors of 7333

1,7333

Now, list down the factors of 7387

1,83,89,7387

Greatest Common Factor

We found the factors 7333,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,7387 is 1.

Lets's calculate LCM of 479,3095

Lowest Common Multiple of 479,3095 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1482505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1482505

Therefore, the GCF of Fractions 7333/479,7387/3095 is 1/1482505

Least Common Multiple of 479,3095 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 479,3095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,3095) = 1

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

GCF(479,3095) x common factors =1 x 1 = 1

LCM(479,3095) = ( 479 × 3095 ) / 1

LCM(479,3095) = 1482505 / 1

LCM(479,3095) = 1482505

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FAQs on GCF of Fractions of 7333/479, 7387/3095

1. What is the HCF of 7333,7387?

The HCF of 7333,7387 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 7333/479, 7387/3095?

Answer: GCF of Numerators as per given numbers 7333/479, 7387/3095 is

GCF of Numerators i.e. for 7333,7387 is 1

LCM of denominators i.e. for 479,3095 is 1482505.

Thus, GCF of Fractions is 1/1482505.Finally, GCF of Fractions for 7333/479, 7387/3095 is 1/1482505.