GCF of 3739/572, 4599/1559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3739/572, 4599/1559 i.e 1/891748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3739/572, 4599/1559.
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 3739/572,4599/1559?
Given fractions are 3739/572,4599/1559
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 3739/572,4599/1559, numerators are 3739,4599
Denominators are 572,1559
The GCF of 3739,4599 is 1 .
LCM of 572,1559 is 891748.
The greatest common factor of 3739/572,4599/1559 = [GCF of 3739,4599]/[LCM of 572,1559]= 1/891748
Therefore, the GCF of 3739/572,4599/1559 is 1/891748.
To find the highest common factor of 3739,4599, we have to find the factors of both numbers and list the highest common factor.
The factors of 3739 are 1, 3739
The factors of 4599 are 1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599
The HCF of 3739,4599 is 1.
Lets's calculate GCF of 3739,4599
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3739,4599 By Matching Biggest Common Factor Method
Now, list down the factors of 3739
:1,3739
Now, list down the factors of 4599
:1,3,7,9,21,63,73,219,511,657,1533,4599
Greatest Common Factor
We found the factors 3739,4599 . The biggest common factor number is the GCF number.
So the greatest common factor 3739,4599 is 1.
Lets's calculate LCM of 572,1559
Given numbers has no common factors except 1. So, there LCM is their product i.e 891748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891748
Therefore, the GCF of Fractions 3739/572,4599/1559 is 1/891748
Least Common Multiple of 572,1559 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 572,1559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,1559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,1559) x common factors =1 x 1 = 1
LCM(572,1559) = ( 572 × 1559 ) / 1
LCM(572,1559) = 891748 / 1
LCM(572,1559) = 891748
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3739/572, 4599/1559
1. What is the HCF of 3739,4599?
The HCF of 3739,4599 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 3739/572, 4599/1559?
Answer: GCF of Numerators as per given numbers 3739/572, 4599/1559 is
GCF of Numerators i.e. for 3739,4599 is 1
LCM of denominators i.e. for 572,1559 is 891748.
Thus, GCF of Fractions is 1/891748.Finally, GCF of Fractions for 3739/572, 4599/1559 is 1/891748.