How to Find GCF of 8840/480, 2287/3670?

GCF of 8840/480, 2287/3670

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 8840/480, 2287/3670 i.e 1/176160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/480, 2287/3670.

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 8840/480,2287/3670?

Given fractions are 8840/480,2287/3670

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 8840/480,2287/3670, numerators are 8840,2287

Denominators are 480,3670

The GCF of 8840,2287 is 1 .

LCM of 480,3670 is 176160.

The greatest common factor of 8840/480,2287/3670 = [GCF of 8840,2287]/[LCM of 480,3670]= 1/176160

Therefore, the GCF of 8840/480,2287/3670 is 1/176160.

Greatest Common Factor of 8840,2287

To find the highest common factor of 8840,2287, we have to find the factors of both numbers and list the highest common factor.

The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840

The factors of 2287 are 1, 2287

The HCF of 8840,2287 is 1.

Lets's calculate GCF of 8840,2287

Greatest Common Factor (GCF) of 8840,2287 By Common Division

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

Greatest Common Factor of 8840,2287 By Matching Biggest Common Factor Method

Now, list down the factors of 8840

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Now, list down the factors of 2287

1,2287

Greatest Common Factor

We found the factors 8840,2287 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,2287 is 1.

Lets's calculate LCM of 480,3670

Lowest Common Multiple of 480,3670 using Common Division

2	480, 3670
5	240, 1835
	48, 367

∴ So the LCM of the given numbers is 2 x 5 x 48 x 367 = 176160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176160

Therefore, the GCF of Fractions 8840/480,2287/3670 is 1/176160

Least Common Multiple of 480,3670 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 480,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,3670) = 10

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

GCF(480,3670) x common factors =10 x 1 = 10

LCM(480,3670) = ( 480 × 3670 ) / 10

LCM(480,3670) = 1761600 / 10

LCM(480,3670) = 176160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8840/480, 2287/3670

1. What is the HCF of 8840,2287?

The HCF of 8840,2287 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 8840/480, 2287/3670?

Answer: GCF of Numerators as per given numbers 8840/480, 2287/3670 is

GCF of Numerators i.e. for 8840,2287 is 1

LCM of denominators i.e. for 480,3670 is 176160.

Thus, GCF of Fractions is 1/176160.Finally, GCF of Fractions for 8840/480, 2287/3670 is 1/176160.