GCF of 5771/304, 2157/8386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5771/304, 2157/8386 i.e 1/1274672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5771/304, 2157/8386.
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 5771/304,2157/8386?
Given fractions are 5771/304,2157/8386
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 5771/304,2157/8386, numerators are 5771,2157
Denominators are 304,8386
The GCF of 5771,2157 is 1 .
LCM of 304,8386 is 1274672.
The greatest common factor of 5771/304,2157/8386 = [GCF of 5771,2157]/[LCM of 304,8386]= 1/1274672
Therefore, the GCF of 5771/304,2157/8386 is 1/1274672.
To find the highest common factor of 5771,2157, we have to find the factors of both numbers and list the highest common factor.
The factors of 5771 are 1, 29, 199, 5771
The factors of 2157 are 1, 3, 719, 2157
The HCF of 5771,2157 is 1.
Lets's calculate GCF of 5771,2157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5771,2157 By Matching Biggest Common Factor Method
Now, list down the factors of 5771
:1,29,199,5771
Now, list down the factors of 2157
:1,3,719,2157
Greatest Common Factor
We found the factors 5771,2157 . The biggest common factor number is the GCF number.
So the greatest common factor 5771,2157 is 1.
Lets's calculate LCM of 304,8386
| 2 | 304, 8386 |
| 152, 4193 |
∴ So the LCM of the given numbers is 2 x 152 x 4193 = 1274672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1274672
Therefore, the GCF of Fractions 5771/304,2157/8386 is 1/1274672
Least Common Multiple of 304,8386 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 304,8386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,8386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,8386) x common factors =2 x 1 = 2
LCM(304,8386) = ( 304 × 8386 ) / 2
LCM(304,8386) = 2549344 / 2
LCM(304,8386) = 1274672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5771/304, 2157/8386
1. What is the HCF of 5771,2157?
The HCF of 5771,2157 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 5771/304, 2157/8386?
Answer: GCF of Numerators as per given numbers 5771/304, 2157/8386 is
GCF of Numerators i.e. for 5771,2157 is 1
LCM of denominators i.e. for 304,8386 is 1274672.
Thus, GCF of Fractions is 1/1274672.Finally, GCF of Fractions for 5771/304, 2157/8386 is 1/1274672.