How to Find GCF of 7101/359, 1395/4960?

GCF of 7101/359, 1395/4960

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 7101/359, 1395/4960 i.e 9/1780640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7101/359, 1395/4960.

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 7101/359,1395/4960?

Given fractions are 7101/359,1395/4960

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 7101/359,1395/4960, numerators are 7101,1395

Denominators are 359,4960

The GCF of 7101,1395 is 9 .

LCM of 359,4960 is 1780640.

The greatest common factor of 7101/359,1395/4960 = [GCF of 7101,1395]/[LCM of 359,4960]= 9/1780640

Therefore, the GCF of 7101/359,1395/4960 is 9/1780640.

Greatest Common Factor of 7101,1395

To find the highest common factor of 7101,1395, we have to find the factors of both numbers and list the highest common factor.

The factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101

The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395

The HCF of 7101,1395 is 9.

Lets's calculate GCF of 7101,1395

Greatest Common Factor (GCF) of 7101,1395 By Common Division

3	7101, 1395
3	2367, 465
	789, 155

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7101,1395 By Matching Biggest Common Factor Method

Now, list down the factors of 7101

1,3,9,27,263,789,2367,7101

Now, list down the factors of 1395

1,3,5,9,15,31,45,93,155,279,465,1395

Greatest Common Factor

We found the factors 7101,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 7101,1395 is 9.

Lets's calculate LCM of 359,4960

Lowest Common Multiple of 359,4960 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1780640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1780640

Therefore, the GCF of Fractions 7101/359,1395/4960 is 9/1780640

Least Common Multiple of 359,4960 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 359,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,4960) = 1

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

GCF(359,4960) x common factors =1 x 1 = 1

LCM(359,4960) = ( 359 × 4960 ) / 1

LCM(359,4960) = 1780640 / 1

LCM(359,4960) = 1780640

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FAQs on GCF of Fractions of 7101/359, 1395/4960

1. What is the HCF of 7101,1395?

The HCF of 7101,1395 is 9

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 7101/359, 1395/4960?

Answer: GCF of Numerators as per given numbers 7101/359, 1395/4960 is

GCF of Numerators i.e. for 7101,1395 is 9

LCM of denominators i.e. for 359,4960 is 1780640.

Thus, GCF of Fractions is 9/1780640.Finally, GCF of Fractions for 7101/359, 1395/4960 is 9/1780640.