How to Find GCF of 8070/896, 3584/271?

GCF of 8070/896, 3584/271

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 8070/896, 3584/271 i.e 2/242816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8070/896, 3584/271.

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 8070/896,3584/271?

Given fractions are 8070/896,3584/271

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 8070/896,3584/271, numerators are 8070,3584

Denominators are 896,271

The GCF of 8070,3584 is 2 .

LCM of 896,271 is 242816.

The greatest common factor of 8070/896,3584/271 = [GCF of 8070,3584]/[LCM of 896,271]= 2/242816

Therefore, the GCF of 8070/896,3584/271 is 2/242816.

Greatest Common Factor of 8070,3584

To find the highest common factor of 8070,3584, we have to find the factors of both numbers and list the highest common factor.

The factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070

The factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584

The HCF of 8070,3584 is 2.

Lets's calculate GCF of 8070,3584

Greatest Common Factor (GCF) of 8070,3584 By Common Division

2	8070, 3584
	4035, 1792

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8070,3584 By Matching Biggest Common Factor Method

Now, list down the factors of 8070

1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070

Now, list down the factors of 3584

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584

Greatest Common Factor

We found the factors 8070,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 8070,3584 is 2.

Lets's calculate LCM of 896,271

Lowest Common Multiple of 896,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 242816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/242816

Therefore, the GCF of Fractions 8070/896,3584/271 is 2/242816

Least Common Multiple of 896,271 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 896,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,271) = 1

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

GCF(896,271) x common factors =1 x 1 = 1

LCM(896,271) = ( 896 × 271 ) / 1

LCM(896,271) = 242816 / 1

LCM(896,271) = 242816

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8070/896, 3584/271

1. What is the HCF of 8070,3584?

The HCF of 8070,3584 is 2

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 8070/896, 3584/271?

Answer: GCF of Numerators as per given numbers 8070/896, 3584/271 is

GCF of Numerators i.e. for 8070,3584 is 2

LCM of denominators i.e. for 896,271 is 242816.

Thus, GCF of Fractions is 2/242816.Finally, GCF of Fractions for 8070/896, 3584/271 is 2/242816.