How to Find GCF of 7374/260, 8803/6020?

GCF of 7374/260, 8803/6020

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 7374/260, 8803/6020 i.e 1/78260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7374/260, 8803/6020.

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 7374/260,8803/6020?

Given fractions are 7374/260,8803/6020

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 7374/260,8803/6020, numerators are 7374,8803

Denominators are 260,6020

The GCF of 7374,8803 is 1 .

LCM of 260,6020 is 78260.

The greatest common factor of 7374/260,8803/6020 = [GCF of 7374,8803]/[LCM of 260,6020]= 1/78260

Therefore, the GCF of 7374/260,8803/6020 is 1/78260.

Greatest Common Factor of 7374,8803

To find the highest common factor of 7374,8803, we have to find the factors of both numbers and list the highest common factor.

The factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374

The factors of 8803 are 1, 8803

The HCF of 7374,8803 is 1.

Lets's calculate GCF of 7374,8803

Greatest Common Factor (GCF) of 7374,8803 By Common Division

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

Greatest Common Factor of 7374,8803 By Matching Biggest Common Factor Method

Now, list down the factors of 7374

1,2,3,6,1229,2458,3687,7374

Now, list down the factors of 8803

1,8803

Greatest Common Factor

We found the factors 7374,8803 . The biggest common factor number is the GCF number.
So the greatest common factor 7374,8803 is 1.

Lets's calculate LCM of 260,6020

Lowest Common Multiple of 260,6020 using Common Division

2	260, 6020
2	130, 3010
5	65, 1505
	13, 301

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 301 = 78260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78260

Therefore, the GCF of Fractions 7374/260,8803/6020 is 1/78260

Least Common Multiple of 260,6020 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 260,6020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,6020) = 20

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

GCF(260,6020) x common factors =20 x 1 = 20

LCM(260,6020) = ( 260 × 6020 ) / 20

LCM(260,6020) = 1565200 / 20

LCM(260,6020) = 78260

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FAQs on GCF of Fractions of 7374/260, 8803/6020

1. What is the HCF of 7374,8803?

The HCF of 7374,8803 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 7374/260, 8803/6020?

Answer: GCF of Numerators as per given numbers 7374/260, 8803/6020 is

GCF of Numerators i.e. for 7374,8803 is 1

LCM of denominators i.e. for 260,6020 is 78260.

Thus, GCF of Fractions is 1/78260.Finally, GCF of Fractions for 7374/260, 8803/6020 is 1/78260.