GCF of 5842/785, 8494/1617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5842/785, 8494/1617 i.e 2/1269345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5842/785, 8494/1617.
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 5842/785,8494/1617?
Given fractions are 5842/785,8494/1617
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 5842/785,8494/1617, numerators are 5842,8494
Denominators are 785,1617
The GCF of 5842,8494 is 2 .
LCM of 785,1617 is 1269345.
The greatest common factor of 5842/785,8494/1617 = [GCF of 5842,8494]/[LCM of 785,1617]= 2/1269345
Therefore, the GCF of 5842/785,8494/1617 is 2/1269345.
To find the highest common factor of 5842,8494, we have to find the factors of both numbers and list the highest common factor.
The factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842
The factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494
The HCF of 5842,8494 is 2.
Lets's calculate GCF of 5842,8494
| 2 | 5842, 8494 |
| 2921, 4247 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5842,8494 By Matching Biggest Common Factor Method
Now, list down the factors of 5842
:1,2,23,46,127,254,2921,5842
Now, list down the factors of 8494
:1,2,31,62,137,274,4247,8494
Greatest Common Factor
We found the factors 5842,8494 . The biggest common factor number is the GCF number.
So the greatest common factor 5842,8494 is 2.
Lets's calculate LCM of 785,1617
Given numbers has no common factors except 1. So, there LCM is their product i.e 1269345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1269345
Therefore, the GCF of Fractions 5842/785,8494/1617 is 2/1269345
Least Common Multiple of 785,1617 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 785,1617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,1617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,1617) x common factors =1 x 1 = 1
LCM(785,1617) = ( 785 × 1617 ) / 1
LCM(785,1617) = 1269345 / 1
LCM(785,1617) = 1269345
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FAQs on GCF of Fractions of 5842/785, 8494/1617
1. What is the HCF of 5842,8494?
The HCF of 5842,8494 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 5842/785, 8494/1617?
Answer: GCF of Numerators as per given numbers 5842/785, 8494/1617 is
GCF of Numerators i.e. for 5842,8494 is 2
LCM of denominators i.e. for 785,1617 is 1269345.
Thus, GCF of Fractions is 2/1269345.Finally, GCF of Fractions for 5842/785, 8494/1617 is 2/1269345.