How to Find GCF of 11/94, 407/10, 561/886?

GCF of 11/94, 407/10, 561/886

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 11/94, 407/10, 561/886 i.e 11/208210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/94, 407/10, 561/886.

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 11/94,407/10,561/886?

Given fractions are 11/94,407/10,561/886

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 11/94,407/10,561/886, numerators are 11,407,561

Denominators are 94,10,886

The GCF of 11,407,561 is 11 .

LCM of 94,10,886 is 208210.

The greatest common factor of 11/94,407/10,561/886 = [GCF of 11,407,561]/[LCM of 94,10,886]= 11/208210

Therefore, the GCF of 11/94,407/10,561/886 is 11/208210.

Greatest Common Factor of 11,407,561

To find the highest common factor of 11,407,561, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 407 are 1, 11, 37, 407

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The HCF of 11,407,561 is 11.

Lets's calculate GCF of 11,407,561

Greatest Common Factor (GCF) of 11,407,561 By Common Division

11	11, 407, 561
	1, 37, 51

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 11,407,561 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 407

1,11,37,407

Now, list down the factors of 561

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 11,407,561 . The biggest common factor number is the GCF number.
So the greatest common factor 11,407,561 is 11.

Lets's calculate LCM of 94,10,886

Lowest Common Multiple of 94,10,886 using Common Division

2	94, 10, 886
	47, 5, 443

∴ So the LCM of the given numbers is 2 x 47 x 5 x 443 = 208210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/208210

Therefore, the GCF of Fractions 11/94,407/10,561/886 is 11/208210

Least Common Multiple of 94,10,886 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 94,10,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,10,886) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(94,10,886) x common factors =2 x 2 = 4

LCM(94,10,886) = ( 94 × 10 × 886 ) / 4

LCM(94,10,886) = 832840 / 4

LCM(94,10,886) = 208210

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 11/94, 407/10, 561/886

1. What is the HCF of 11,407,561?

The HCF of 11,407,561 is 11

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 11/94, 407/10, 561/886?

Answer: GCF of Numerators as per given numbers 11/94, 407/10, 561/886 is

GCF of Numerators i.e. for 11,407,561 is 11

LCM of denominators i.e. for 94,10,886 is 208210.

Thus, GCF of Fractions is 11/208210.Finally, GCF of Fractions for 11/94, 407/10, 561/886 is 11/208210.