LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 105/505, 191/653

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 105/505, 191/653 i.e 1/329765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 105/505, 191/653.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 105/505,191/653?

Given fractions are 105/505,191/653

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 105/505,191/653, numerators are 105,191

Denominators are 505,653

The GCF of 105,191 is 1 .

LCM of 505,653 is 329765.

The greatest common factor of 105/505,191/653 = [GCF of 105,191]/[LCM of 505,653]= 1/329765

Therefore, the GCF of 105/505,191/653 is 1/329765.

Greatest Common Factor of 105,191

To find the highest common factor of 105,191, we have to find the factors of both numbers and list the highest common factor.

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The factors of 191 are 1, 191

The HCF of 105,191 is 1.

Lets's calculate GCF of 105,191

Greatest Common Factor (GCF) of 105,191 By Common Division

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

Greatest Common Factor of 105,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,191 By Matching Biggest Common Factor Method

Now, list down the factors of 105

:

1,3,5,7,15,21,35,105

Now, list down the factors of 191

:

1,191

Greatest Common Factor

We found the factors 105,191 . The biggest common factor number is the GCF number.
So the greatest common factor 105,191 is 1.

Lets's calculate LCM of 505,653

Lowest Common Multiple of 505,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 329765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329765

Therefore, the GCF of Fractions 105/505,191/653 is 1/329765

Least Common Multiple of 505,653 with GCF Formula

Least Common Multiple of 505,653 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 505,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,653) = 1

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

GCF(505,653) x common factors =1 x 1 = 1

LCM(505,653) = ( 505 × 653 ) / 1

LCM(505,653) = 329765 / 1

LCM(505,653) = 329765


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 105/505, 191/653

1. What is the HCF of 105,191?

The HCF of 105,191 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 105/505, 191/653?

Answer: GCF of Numerators as per given numbers 105/505, 191/653 is

GCF of Numerators i.e. for 105,191 is 1

LCM of denominators i.e. for 505,653 is 329765.

Thus, GCF of Fractions is 1/329765.Finally, GCF of Fractions for 105/505, 191/653 is 1/329765.