How to Find GCF of 1840/872, 2619/7320?

GCF of 1840/872, 2619/7320

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 1840/872, 2619/7320 i.e 1/797880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1840/872, 2619/7320.

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 1840/872,2619/7320?

Given fractions are 1840/872,2619/7320

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 1840/872,2619/7320, numerators are 1840,2619

Denominators are 872,7320

The GCF of 1840,2619 is 1 .

LCM of 872,7320 is 797880.

The greatest common factor of 1840/872,2619/7320 = [GCF of 1840,2619]/[LCM of 872,7320]= 1/797880

Therefore, the GCF of 1840/872,2619/7320 is 1/797880.

Greatest Common Factor of 1840,2619

To find the highest common factor of 1840,2619, we have to find the factors of both numbers and list the highest common factor.

The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840

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

The HCF of 1840,2619 is 1.

Lets's calculate GCF of 1840,2619

Greatest Common Factor (GCF) of 1840,2619 By Common Division

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

Greatest Common Factor of 1840,2619 By Matching Biggest Common Factor Method

Now, list down the factors of 1840

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Now, list down the factors of 2619

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

Greatest Common Factor

We found the factors 1840,2619 . The biggest common factor number is the GCF number.
So the greatest common factor 1840,2619 is 1.

Lets's calculate LCM of 872,7320

Lowest Common Multiple of 872,7320 using Common Division

2	872, 7320
2	436, 3660
2	218, 1830
	109, 915

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 915 = 797880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/797880

Therefore, the GCF of Fractions 1840/872,2619/7320 is 1/797880

Least Common Multiple of 872,7320 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 872,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,7320) = 8

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

GCF(872,7320) x common factors =8 x 1 = 8

LCM(872,7320) = ( 872 × 7320 ) / 8

LCM(872,7320) = 6383040 / 8

LCM(872,7320) = 797880

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1840/872, 2619/7320

1. What is the HCF of 1840,2619?

The HCF of 1840,2619 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 1840/872, 2619/7320?

Answer: GCF of Numerators as per given numbers 1840/872, 2619/7320 is

GCF of Numerators i.e. for 1840,2619 is 1

LCM of denominators i.e. for 872,7320 is 797880.

Thus, GCF of Fractions is 1/797880.Finally, GCF of Fractions for 1840/872, 2619/7320 is 1/797880.