How to Find GCF of 7292/470, 2619/4010?

GCF of 7292/470, 2619/4010

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 7292/470, 2619/4010 i.e 1/188470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7292/470, 2619/4010.

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 7292/470,2619/4010?

Given fractions are 7292/470,2619/4010

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 7292/470,2619/4010, numerators are 7292,2619

Denominators are 470,4010

The GCF of 7292,2619 is 1 .

LCM of 470,4010 is 188470.

The greatest common factor of 7292/470,2619/4010 = [GCF of 7292,2619]/[LCM of 470,4010]= 1/188470

Therefore, the GCF of 7292/470,2619/4010 is 1/188470.

Greatest Common Factor of 7292,2619

To find the highest common factor of 7292,2619, we have to find the factors of both numbers and list the highest common factor.

The factors of 7292 are 1, 2, 4, 1823, 3646, 7292

The factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619

The HCF of 7292,2619 is 1.

Lets's calculate GCF of 7292,2619

Greatest Common Factor (GCF) of 7292,2619 By Common Division

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

Greatest Common Factor of 7292,2619 By Matching Biggest Common Factor Method

Now, list down the factors of 7292

1,2,4,1823,3646,7292

Now, list down the factors of 2619

1,3,9,27,97,291,873,2619

Greatest Common Factor

We found the factors 7292,2619 . The biggest common factor number is the GCF number.
So the greatest common factor 7292,2619 is 1.

Lets's calculate LCM of 470,4010

Lowest Common Multiple of 470,4010 using Common Division

2	470, 4010
5	235, 2005
	47, 401

∴ So the LCM of the given numbers is 2 x 5 x 47 x 401 = 188470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188470

Therefore, the GCF of Fractions 7292/470,2619/4010 is 1/188470

Least Common Multiple of 470,4010 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 470,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,4010) = 10

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

GCF(470,4010) x common factors =10 x 1 = 10

LCM(470,4010) = ( 470 × 4010 ) / 10

LCM(470,4010) = 1884700 / 10

LCM(470,4010) = 188470

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7292/470, 2619/4010

1. What is the HCF of 7292,2619?

The HCF of 7292,2619 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 7292/470, 2619/4010?

Answer: GCF of Numerators as per given numbers 7292/470, 2619/4010 is

GCF of Numerators i.e. for 7292,2619 is 1

LCM of denominators i.e. for 470,4010 is 188470.

Thus, GCF of Fractions is 1/188470.Finally, GCF of Fractions for 7292/470, 2619/4010 is 1/188470.