GCF of 6041/946, 8412/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6041/946, 8412/2146 i.e 1/1015058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6041/946, 8412/2146.
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 6041/946,8412/2146?
Given fractions are 6041/946,8412/2146
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 6041/946,8412/2146, numerators are 6041,8412
Denominators are 946,2146
The GCF of 6041,8412 is 1 .
LCM of 946,2146 is 1015058.
The greatest common factor of 6041/946,8412/2146 = [GCF of 6041,8412]/[LCM of 946,2146]= 1/1015058
Therefore, the GCF of 6041/946,8412/2146 is 1/1015058.
To find the highest common factor of 6041,8412, we have to find the factors of both numbers and list the highest common factor.
The factors of 6041 are 1, 7, 863, 6041
The factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412
The HCF of 6041,8412 is 1.
Lets's calculate GCF of 6041,8412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6041,8412 By Matching Biggest Common Factor Method
Now, list down the factors of 6041
:1,7,863,6041
Now, list down the factors of 8412
:1,2,3,4,6,12,701,1402,2103,2804,4206,8412
Greatest Common Factor
We found the factors 6041,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 6041,8412 is 1.
Lets's calculate LCM of 946,2146
| 2 | 946, 2146 |
| 473, 1073 |
∴ So the LCM of the given numbers is 2 x 473 x 1073 = 1015058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1015058
Therefore, the GCF of Fractions 6041/946,8412/2146 is 1/1015058
Least Common Multiple of 946,2146 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 946,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,2146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,2146) x common factors =2 x 1 = 2
LCM(946,2146) = ( 946 × 2146 ) / 2
LCM(946,2146) = 2030116 / 2
LCM(946,2146) = 1015058
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FAQs on GCF of Fractions of 6041/946, 8412/2146
1. What is the HCF of 6041,8412?
The HCF of 6041,8412 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 6041/946, 8412/2146?
Answer: GCF of Numerators as per given numbers 6041/946, 8412/2146 is
GCF of Numerators i.e. for 6041,8412 is 1
LCM of denominators i.e. for 946,2146 is 1015058.
Thus, GCF of Fractions is 1/1015058.Finally, GCF of Fractions for 6041/946, 8412/2146 is 1/1015058.