How to Find GCF of 7180/379, 1796/6389?

GCF of 7180/379, 1796/6389

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 7180/379, 1796/6389 i.e 4/2421431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7180/379, 1796/6389.

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 7180/379,1796/6389?

Given fractions are 7180/379,1796/6389

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 7180/379,1796/6389, numerators are 7180,1796

Denominators are 379,6389

The GCF of 7180,1796 is 4 .

LCM of 379,6389 is 2421431.

The greatest common factor of 7180/379,1796/6389 = [GCF of 7180,1796]/[LCM of 379,6389]= 4/2421431

Therefore, the GCF of 7180/379,1796/6389 is 4/2421431.

Greatest Common Factor of 7180,1796

To find the highest common factor of 7180,1796, we have to find the factors of both numbers and list the highest common factor.

The factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180

The factors of 1796 are 1, 2, 4, 449, 898, 1796

The HCF of 7180,1796 is 4.

Lets's calculate GCF of 7180,1796

Greatest Common Factor (GCF) of 7180,1796 By Common Division

2	7180, 1796
2	3590, 898
	1795, 449

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7180,1796 By Matching Biggest Common Factor Method

Now, list down the factors of 7180

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Now, list down the factors of 1796

1,2,4,449,898,1796

Greatest Common Factor

We found the factors 7180,1796 . The biggest common factor number is the GCF number.
So the greatest common factor 7180,1796 is 4.

Lets's calculate LCM of 379,6389

Lowest Common Multiple of 379,6389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2421431

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2421431

Therefore, the GCF of Fractions 7180/379,1796/6389 is 4/2421431

Least Common Multiple of 379,6389 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 379,6389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,6389) = 1

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

GCF(379,6389) x common factors =1 x 1 = 1

LCM(379,6389) = ( 379 × 6389 ) / 1

LCM(379,6389) = 2421431 / 1

LCM(379,6389) = 2421431

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FAQs on GCF of Fractions of 7180/379, 1796/6389

1. What is the HCF of 7180,1796?

The HCF of 7180,1796 is 4

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 7180/379, 1796/6389?

Answer: GCF of Numerators as per given numbers 7180/379, 1796/6389 is

GCF of Numerators i.e. for 7180,1796 is 4

LCM of denominators i.e. for 379,6389 is 2421431.

Thus, GCF of Fractions is 4/2421431.Finally, GCF of Fractions for 7180/379, 1796/6389 is 4/2421431.