GCF of 6042/342, 5038/917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6042/342, 5038/917 i.e 2/313614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6042/342, 5038/917.
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 6042/342,5038/917?
Given fractions are 6042/342,5038/917
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 6042/342,5038/917, numerators are 6042,5038
Denominators are 342,917
The GCF of 6042,5038 is 2 .
LCM of 342,917 is 313614.
The greatest common factor of 6042/342,5038/917 = [GCF of 6042,5038]/[LCM of 342,917]= 2/313614
Therefore, the GCF of 6042/342,5038/917 is 2/313614.
To find the highest common factor of 6042,5038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
The factors of 5038 are 1, 2, 11, 22, 229, 458, 2519, 5038
The HCF of 6042,5038 is 2.
Lets's calculate GCF of 6042,5038
| 2 | 6042, 5038 |
| 3021, 2519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6042,5038 By Matching Biggest Common Factor Method
Now, list down the factors of 6042
:1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Now, list down the factors of 5038
:1,2,11,22,229,458,2519,5038
Greatest Common Factor
We found the factors 6042,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 6042,5038 is 2.
Lets's calculate LCM of 342,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 313614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313614
Therefore, the GCF of Fractions 6042/342,5038/917 is 2/313614
Least Common Multiple of 342,917 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 342,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,917) x common factors =1 x 1 = 1
LCM(342,917) = ( 342 × 917 ) / 1
LCM(342,917) = 313614 / 1
LCM(342,917) = 313614
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FAQs on GCF of Fractions of 6042/342, 5038/917
1. What is the HCF of 6042,5038?
The HCF of 6042,5038 is 2
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 6042/342, 5038/917?
Answer: GCF of Numerators as per given numbers 6042/342, 5038/917 is
GCF of Numerators i.e. for 6042,5038 is 2
LCM of denominators i.e. for 342,917 is 313614.
Thus, GCF of Fractions is 2/313614.Finally, GCF of Fractions for 6042/342, 5038/917 is 2/313614.