GCF of 939/63, 452/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 939/63, 452/188 i.e 1/11844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/63, 452/188.
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 939/63,452/188?
Given fractions are 939/63,452/188
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 939/63,452/188, numerators are 939,452
Denominators are 63,188
The GCF of 939,452 is 1 .
LCM of 63,188 is 11844.
The greatest common factor of 939/63,452/188 = [GCF of 939,452]/[LCM of 63,188]= 1/11844
Therefore, the GCF of 939/63,452/188 is 1/11844.
To find the highest common factor of 939,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 939 are 1, 3, 313, 939
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 939,452 is 1.
Lets's calculate GCF of 939,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 939,452 By Matching Biggest Common Factor Method
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 939,452 . The biggest common factor number is the GCF number.
So the greatest common factor 939,452 is 1.
Lets's calculate LCM of 63,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 11844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11844
Therefore, the GCF of Fractions 939/63,452/188 is 1/11844
Least Common Multiple of 63,188 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 63,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,188) x common factors =1 x 1 = 1
LCM(63,188) = ( 63 × 188 ) / 1
LCM(63,188) = 11844 / 1
LCM(63,188) = 11844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 939/63, 452/188
1. What is the HCF of 939,452?
The HCF of 939,452 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 939/63, 452/188?
Answer: GCF of Numerators as per given numbers 939/63, 452/188 is
GCF of Numerators i.e. for 939,452 is 1
LCM of denominators i.e. for 63,188 is 11844.
Thus, GCF of Fractions is 1/11844.Finally, GCF of Fractions for 939/63, 452/188 is 1/11844.