How to Find GCF of 388/880, 8906/512?

GCF of 388/880, 8906/512

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 388/880, 8906/512 i.e 2/28160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/880, 8906/512.

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 388/880,8906/512?

Given fractions are 388/880,8906/512

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 388/880,8906/512, numerators are 388,8906

Denominators are 880,512

The GCF of 388,8906 is 2 .

LCM of 880,512 is 28160.

The greatest common factor of 388/880,8906/512 = [GCF of 388,8906]/[LCM of 880,512]= 2/28160

Therefore, the GCF of 388/880,8906/512 is 2/28160.

Greatest Common Factor of 388,8906

To find the highest common factor of 388,8906, we have to find the factors of both numbers and list the highest common factor.

The factors of 388 are 1, 2, 4, 97, 194, 388

The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906

The HCF of 388,8906 is 2.

Lets's calculate GCF of 388,8906

Greatest Common Factor (GCF) of 388,8906 By Common Division

2	388, 8906
	194, 4453

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

Greatest Common Factor of 388,8906 By Matching Biggest Common Factor Method

Now, list down the factors of 388

1,2,4,97,194,388

Now, list down the factors of 8906

1,2,61,73,122,146,4453,8906

Greatest Common Factor

We found the factors 388,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 388,8906 is 2.

Lets's calculate LCM of 880,512

Lowest Common Multiple of 880,512 using Common Division

2	880, 512
2	440, 256
2	220, 128
2	110, 64
	55, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 55 x 32 = 28160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28160

Therefore, the GCF of Fractions 388/880,8906/512 is 2/28160

Least Common Multiple of 880,512 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 880,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,512) = 16

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

GCF(880,512) x common factors =16 x 1 = 16

LCM(880,512) = ( 880 × 512 ) / 16

LCM(880,512) = 450560 / 16

LCM(880,512) = 28160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 388/880, 8906/512

1. What is the HCF of 388,8906?

The HCF of 388,8906 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 388/880, 8906/512?

Answer: GCF of Numerators as per given numbers 388/880, 8906/512 is

GCF of Numerators i.e. for 388,8906 is 2

LCM of denominators i.e. for 880,512 is 28160.

Thus, GCF of Fractions is 2/28160.Finally, GCF of Fractions for 388/880, 8906/512 is 2/28160.