GCF of 6037/646, 3867/1241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6037/646, 3867/1241 i.e 1/47158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6037/646, 3867/1241.
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 6037/646,3867/1241?
Given fractions are 6037/646,3867/1241
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 6037/646,3867/1241, numerators are 6037,3867
Denominators are 646,1241
The GCF of 6037,3867 is 1 .
LCM of 646,1241 is 47158.
The greatest common factor of 6037/646,3867/1241 = [GCF of 6037,3867]/[LCM of 646,1241]= 1/47158
Therefore, the GCF of 6037/646,3867/1241 is 1/47158.
To find the highest common factor of 6037,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 6037 are 1, 6037
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 6037,3867 is 1.
Lets's calculate GCF of 6037,3867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6037,3867 By Matching Biggest Common Factor Method
Now, list down the factors of 6037
:1,6037
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 6037,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 6037,3867 is 1.
Lets's calculate LCM of 646,1241
| 17 | 646, 1241 |
| 38, 73 |
∴ So the LCM of the given numbers is 17 x 38 x 73 = 47158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47158
Therefore, the GCF of Fractions 6037/646,3867/1241 is 1/47158
Least Common Multiple of 646,1241 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 646,1241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1241) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1241) x common factors =17 x 1 = 17
LCM(646,1241) = ( 646 × 1241 ) / 17
LCM(646,1241) = 801686 / 17
LCM(646,1241) = 47158
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FAQs on GCF of Fractions of 6037/646, 3867/1241
1. What is the HCF of 6037,3867?
The HCF of 6037,3867 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 6037/646, 3867/1241?
Answer: GCF of Numerators as per given numbers 6037/646, 3867/1241 is
GCF of Numerators i.e. for 6037,3867 is 1
LCM of denominators i.e. for 646,1241 is 47158.
Thus, GCF of Fractions is 1/47158.Finally, GCF of Fractions for 6037/646, 3867/1241 is 1/47158.