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 561/573, 347/417

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 561/573, 347/417 i.e 1/79647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 561/573, 347/417.

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 561/573,347/417?

Given fractions are 561/573,347/417

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 561/573,347/417, numerators are 561,347

Denominators are 573,417

The GCF of 561,347 is 1 .

LCM of 573,417 is 79647.

The greatest common factor of 561/573,347/417 = [GCF of 561,347]/[LCM of 573,417]= 1/79647

Therefore, the GCF of 561/573,347/417 is 1/79647.

Greatest Common Factor of 561,347

To find the highest common factor of 561,347, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 347 are 1, 347

The HCF of 561,347 is 1.

Lets's calculate GCF of 561,347

Greatest Common Factor (GCF) of 561,347 By Common Division

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

Greatest Common Factor of 561,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,347 By Matching Biggest Common Factor Method

Now, list down the factors of 561

:

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

Now, list down the factors of 347

:

1,347

Greatest Common Factor

We found the factors 561,347 . The biggest common factor number is the GCF number.
So the greatest common factor 561,347 is 1.

Lets's calculate LCM of 573,417

Lowest Common Multiple of 573,417 using Common Division

3 573, 417
191, 139

∴ So the LCM of the given numbers is 3 x 191 x 139 = 79647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79647

Therefore, the GCF of Fractions 561/573,347/417 is 1/79647

Least Common Multiple of 573,417 with GCF Formula

Least Common Multiple of 573,417 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 573,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,417) = 3

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

GCF(573,417) x common factors =3 x 1 = 3

LCM(573,417) = ( 573 × 417 ) / 3

LCM(573,417) = 238941 / 3

LCM(573,417) = 79647


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 561/573, 347/417

1. What is the HCF of 561,347?

The HCF of 561,347 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 561/573, 347/417?

Answer: GCF of Numerators as per given numbers 561/573, 347/417 is

GCF of Numerators i.e. for 561,347 is 1

LCM of denominators i.e. for 573,417 is 79647.

Thus, GCF of Fractions is 1/79647.Finally, GCF of Fractions for 561/573, 347/417 is 1/79647.