GCF of 5908/784, 4189/1971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5908/784, 4189/1971 i.e 1/1545264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5908/784, 4189/1971.
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 5908/784,4189/1971?
Given fractions are 5908/784,4189/1971
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 5908/784,4189/1971, numerators are 5908,4189
Denominators are 784,1971
The GCF of 5908,4189 is 1 .
LCM of 784,1971 is 1545264.
The greatest common factor of 5908/784,4189/1971 = [GCF of 5908,4189]/[LCM of 784,1971]= 1/1545264
Therefore, the GCF of 5908/784,4189/1971 is 1/1545264.
To find the highest common factor of 5908,4189, we have to find the factors of both numbers and list the highest common factor.
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The factors of 4189 are 1, 59, 71, 4189
The HCF of 5908,4189 is 1.
Lets's calculate GCF of 5908,4189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5908,4189 By Matching Biggest Common Factor Method
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Now, list down the factors of 4189
:1,59,71,4189
Greatest Common Factor
We found the factors 5908,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 5908,4189 is 1.
Lets's calculate LCM of 784,1971
Given numbers has no common factors except 1. So, there LCM is their product i.e 1545264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1545264
Therefore, the GCF of Fractions 5908/784,4189/1971 is 1/1545264
Least Common Multiple of 784,1971 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 784,1971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1971) x common factors =1 x 1 = 1
LCM(784,1971) = ( 784 × 1971 ) / 1
LCM(784,1971) = 1545264 / 1
LCM(784,1971) = 1545264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5908/784, 4189/1971
1. What is the HCF of 5908,4189?
The HCF of 5908,4189 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 5908/784, 4189/1971?
Answer: GCF of Numerators as per given numbers 5908/784, 4189/1971 is
GCF of Numerators i.e. for 5908,4189 is 1
LCM of denominators i.e. for 784,1971 is 1545264.
Thus, GCF of Fractions is 1/1545264.Finally, GCF of Fractions for 5908/784, 4189/1971 is 1/1545264.