GCF of 8362/610, 5845/6058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8362/610, 5845/6058 i.e 1/1847690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8362/610, 5845/6058.
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 8362/610,5845/6058?
Given fractions are 8362/610,5845/6058
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 8362/610,5845/6058, numerators are 8362,5845
Denominators are 610,6058
The GCF of 8362,5845 is 1 .
LCM of 610,6058 is 1847690.
The greatest common factor of 8362/610,5845/6058 = [GCF of 8362,5845]/[LCM of 610,6058]= 1/1847690
Therefore, the GCF of 8362/610,5845/6058 is 1/1847690.
To find the highest common factor of 8362,5845, we have to find the factors of both numbers and list the highest common factor.
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845
The HCF of 8362,5845 is 1.
Lets's calculate GCF of 8362,5845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8362,5845 By Matching Biggest Common Factor Method
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Now, list down the factors of 5845
:1,5,7,35,167,835,1169,5845
Greatest Common Factor
We found the factors 8362,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,5845 is 1.
Lets's calculate LCM of 610,6058
| 2 | 610, 6058 |
| 305, 3029 |
∴ So the LCM of the given numbers is 2 x 305 x 3029 = 1847690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1847690
Therefore, the GCF of Fractions 8362/610,5845/6058 is 1/1847690
Least Common Multiple of 610,6058 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 610,6058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,6058) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,6058) x common factors =2 x 1 = 2
LCM(610,6058) = ( 610 × 6058 ) / 2
LCM(610,6058) = 3695380 / 2
LCM(610,6058) = 1847690
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FAQs on GCF of Fractions of 8362/610, 5845/6058
1. What is the HCF of 8362,5845?
The HCF of 8362,5845 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 8362/610, 5845/6058?
Answer: GCF of Numerators as per given numbers 8362/610, 5845/6058 is
GCF of Numerators i.e. for 8362,5845 is 1
LCM of denominators i.e. for 610,6058 is 1847690.
Thus, GCF of Fractions is 1/1847690.Finally, GCF of Fractions for 8362/610, 5845/6058 is 1/1847690.