How to Find GCF of 5760/810, 7621/4630?

GCF of 5760/810, 7621/4630

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 5760/810, 7621/4630 i.e 1/375030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5760/810, 7621/4630.

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 5760/810,7621/4630?

Given fractions are 5760/810,7621/4630

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 5760/810,7621/4630, numerators are 5760,7621

Denominators are 810,4630

The GCF of 5760,7621 is 1 .

LCM of 810,4630 is 375030.

The greatest common factor of 5760/810,7621/4630 = [GCF of 5760,7621]/[LCM of 810,4630]= 1/375030

Therefore, the GCF of 5760/810,7621/4630 is 1/375030.

Greatest Common Factor of 5760,7621

To find the highest common factor of 5760,7621, we have to find the factors of both numbers and list the highest common factor.

The factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760

The factors of 7621 are 1, 7621

The HCF of 5760,7621 is 1.

Lets's calculate GCF of 5760,7621

Greatest Common Factor (GCF) of 5760,7621 By Common Division

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

Greatest Common Factor of 5760,7621 By Matching Biggest Common Factor Method

Now, list down the factors of 5760

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Now, list down the factors of 7621

1,7621

Greatest Common Factor

We found the factors 5760,7621 . The biggest common factor number is the GCF number.
So the greatest common factor 5760,7621 is 1.

Lets's calculate LCM of 810,4630

Lowest Common Multiple of 810,4630 using Common Division

2	810, 4630
5	405, 2315
	81, 463

∴ So the LCM of the given numbers is 2 x 5 x 81 x 463 = 375030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375030

Therefore, the GCF of Fractions 5760/810,7621/4630 is 1/375030

Least Common Multiple of 810,4630 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 810,4630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,4630) = 10

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

GCF(810,4630) x common factors =10 x 1 = 10

LCM(810,4630) = ( 810 × 4630 ) / 10

LCM(810,4630) = 3750300 / 10

LCM(810,4630) = 375030

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5760/810, 7621/4630

1. What is the HCF of 5760,7621?

The HCF of 5760,7621 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 5760/810, 7621/4630?

Answer: GCF of Numerators as per given numbers 5760/810, 7621/4630 is

GCF of Numerators i.e. for 5760,7621 is 1

LCM of denominators i.e. for 810,4630 is 375030.

Thus, GCF of Fractions is 1/375030.Finally, GCF of Fractions for 5760/810, 7621/4630 is 1/375030.