GCF of 5679/310, 2773/4143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5679/310, 2773/4143 i.e 1/1284330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5679/310, 2773/4143.
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 5679/310,2773/4143?
Given fractions are 5679/310,2773/4143
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 5679/310,2773/4143, numerators are 5679,2773
Denominators are 310,4143
The GCF of 5679,2773 is 1 .
LCM of 310,4143 is 1284330.
The greatest common factor of 5679/310,2773/4143 = [GCF of 5679,2773]/[LCM of 310,4143]= 1/1284330
Therefore, the GCF of 5679/310,2773/4143 is 1/1284330.
To find the highest common factor of 5679,2773, we have to find the factors of both numbers and list the highest common factor.
The factors of 5679 are 1, 3, 9, 631, 1893, 5679
The factors of 2773 are 1, 47, 59, 2773
The HCF of 5679,2773 is 1.
Lets's calculate GCF of 5679,2773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5679,2773 By Matching Biggest Common Factor Method
Now, list down the factors of 5679
:1,3,9,631,1893,5679
Now, list down the factors of 2773
:1,47,59,2773
Greatest Common Factor
We found the factors 5679,2773 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,2773 is 1.
Lets's calculate LCM of 310,4143
Given numbers has no common factors except 1. So, there LCM is their product i.e 1284330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1284330
Therefore, the GCF of Fractions 5679/310,2773/4143 is 1/1284330
Least Common Multiple of 310,4143 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 310,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,4143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,4143) x common factors =1 x 1 = 1
LCM(310,4143) = ( 310 × 4143 ) / 1
LCM(310,4143) = 1284330 / 1
LCM(310,4143) = 1284330
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5679/310, 2773/4143
1. What is the HCF of 5679,2773?
The HCF of 5679,2773 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 5679/310, 2773/4143?
Answer: GCF of Numerators as per given numbers 5679/310, 2773/4143 is
GCF of Numerators i.e. for 5679,2773 is 1
LCM of denominators i.e. for 310,4143 is 1284330.
Thus, GCF of Fractions is 1/1284330.Finally, GCF of Fractions for 5679/310, 2773/4143 is 1/1284330.