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 541/991, 7673/644

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 541/991, 7673/644 i.e 1/638204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/991, 7673/644.

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 541/991,7673/644?

Given fractions are 541/991,7673/644

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 541/991,7673/644, numerators are 541,7673

Denominators are 991,644

The GCF of 541,7673 is 1 .

LCM of 991,644 is 638204.

The greatest common factor of 541/991,7673/644 = [GCF of 541,7673]/[LCM of 991,644]= 1/638204

Therefore, the GCF of 541/991,7673/644 is 1/638204.

Greatest Common Factor of 541,7673

To find the highest common factor of 541,7673, we have to find the factors of both numbers and list the highest common factor.

The factors of 541 are 1, 541

The factors of 7673 are 1, 7673

The HCF of 541,7673 is 1.

Lets's calculate GCF of 541,7673

Greatest Common Factor (GCF) of 541,7673 By Common Division

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

Greatest Common Factor of 541,7673 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,7673 By Matching Biggest Common Factor Method

Now, list down the factors of 541

:

1,541

Now, list down the factors of 7673

:

1,7673

Greatest Common Factor

We found the factors 541,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 541,7673 is 1.

Lets's calculate LCM of 991,644

Lowest Common Multiple of 991,644 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 638204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638204

Therefore, the GCF of Fractions 541/991,7673/644 is 1/638204

Least Common Multiple of 991,644 with GCF Formula

Least Common Multiple of 991,644 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 991,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,644) = 1

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

GCF(991,644) x common factors =1 x 1 = 1

LCM(991,644) = ( 991 × 644 ) / 1

LCM(991,644) = 638204 / 1

LCM(991,644) = 638204


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 541/991, 7673/644

1. What is the HCF of 541,7673?

The HCF of 541,7673 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 541/991, 7673/644?

Answer: GCF of Numerators as per given numbers 541/991, 7673/644 is

GCF of Numerators i.e. for 541,7673 is 1

LCM of denominators i.e. for 991,644 is 638204.

Thus, GCF of Fractions is 1/638204.Finally, GCF of Fractions for 541/991, 7673/644 is 1/638204.