GCF of 39/65, 14/47, 202/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/65, 14/47, 202/616 i.e 1/1881880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/65, 14/47, 202/616.
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 39/65,14/47,202/616?
Given fractions are 39/65,14/47,202/616
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 39/65,14/47,202/616, numerators are 39,14,202
Denominators are 65,47,616
The GCF of 39,14,202 is 1 .
LCM of 65,47,616 is 1881880.
The greatest common factor of 39/65,14/47,202/616 = [GCF of 39,14,202]/[LCM of 65,47,616]= 1/1881880
Therefore, the GCF of 39/65,14/47,202/616 is 1/1881880.
To find the highest common factor of 39,14,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 14 are 1, 2, 7, 14
The factors of 202 are 1, 2, 101, 202
The HCF of 39,14,202 is 1.
Lets's calculate GCF of 39,14,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,14,202 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 39,14,202 . The biggest common factor number is the GCF number.
So the greatest common factor 39,14,202 is 1.
Lets's calculate LCM of 65,47,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 1881880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1881880
Therefore, the GCF of Fractions 39/65,14/47,202/616 is 1/1881880
Least Common Multiple of 65,47,616 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 65,47,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,47,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,47,616) x common factors =1 x 1 = 1
LCM(65,47,616) = ( 65 × 47 × 616 ) / 1
LCM(65,47,616) = 1881880 / 1
LCM(65,47,616) = 1881880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 39/65, 14/47, 202/616
1. What is the HCF of 39,14,202?
The HCF of 39,14,202 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 39/65, 14/47, 202/616?
Answer: GCF of Numerators as per given numbers 39/65, 14/47, 202/616 is
GCF of Numerators i.e. for 39,14,202 is 1
LCM of denominators i.e. for 65,47,616 is 1881880.
Thus, GCF of Fractions is 1/1881880.Finally, GCF of Fractions for 39/65, 14/47, 202/616 is 1/1881880.