GCF of 5971/302, 4206/9390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5971/302, 4206/9390 i.e 1/1417890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5971/302, 4206/9390.
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 5971/302,4206/9390?
Given fractions are 5971/302,4206/9390
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 5971/302,4206/9390, numerators are 5971,4206
Denominators are 302,9390
The GCF of 5971,4206 is 1 .
LCM of 302,9390 is 1417890.
The greatest common factor of 5971/302,4206/9390 = [GCF of 5971,4206]/[LCM of 302,9390]= 1/1417890
Therefore, the GCF of 5971/302,4206/9390 is 1/1417890.
To find the highest common factor of 5971,4206, we have to find the factors of both numbers and list the highest common factor.
The factors of 5971 are 1, 7, 853, 5971
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The HCF of 5971,4206 is 1.
Lets's calculate GCF of 5971,4206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5971,4206 By Matching Biggest Common Factor Method
Now, list down the factors of 5971
:1,7,853,5971
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 5971,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 5971,4206 is 1.
Lets's calculate LCM of 302,9390
| 2 | 302, 9390 |
| 151, 4695 |
∴ So the LCM of the given numbers is 2 x 151 x 4695 = 1417890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1417890
Therefore, the GCF of Fractions 5971/302,4206/9390 is 1/1417890
Least Common Multiple of 302,9390 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 302,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,9390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,9390) x common factors =2 x 1 = 2
LCM(302,9390) = ( 302 × 9390 ) / 2
LCM(302,9390) = 2835780 / 2
LCM(302,9390) = 1417890
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5971/302, 4206/9390
1. What is the HCF of 5971,4206?
The HCF of 5971,4206 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 5971/302, 4206/9390?
Answer: GCF of Numerators as per given numbers 5971/302, 4206/9390 is
GCF of Numerators i.e. for 5971,4206 is 1
LCM of denominators i.e. for 302,9390 is 1417890.
Thus, GCF of Fractions is 1/1417890.Finally, GCF of Fractions for 5971/302, 4206/9390 is 1/1417890.