GCF of 5842/606, 2177/190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5842/606, 2177/190 i.e 1/57570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5842/606, 2177/190.
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 5842/606,2177/190?
Given fractions are 5842/606,2177/190
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 5842/606,2177/190, numerators are 5842,2177
Denominators are 606,190
The GCF of 5842,2177 is 1 .
LCM of 606,190 is 57570.
The greatest common factor of 5842/606,2177/190 = [GCF of 5842,2177]/[LCM of 606,190]= 1/57570
Therefore, the GCF of 5842/606,2177/190 is 1/57570.
To find the highest common factor of 5842,2177, 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 2177 are 1, 7, 311, 2177
The HCF of 5842,2177 is 1.
Lets's calculate GCF of 5842,2177
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5842,2177 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 2177
:1,7,311,2177
Greatest Common Factor
We found the factors 5842,2177 . The biggest common factor number is the GCF number.
So the greatest common factor 5842,2177 is 1.
Lets's calculate LCM of 606,190
| 2 | 606, 190 |
| 303, 95 |
∴ So the LCM of the given numbers is 2 x 303 x 95 = 57570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57570
Therefore, the GCF of Fractions 5842/606,2177/190 is 1/57570
Least Common Multiple of 606,190 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 606,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,190) x common factors =2 x 1 = 2
LCM(606,190) = ( 606 × 190 ) / 2
LCM(606,190) = 115140 / 2
LCM(606,190) = 57570
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FAQs on GCF of Fractions of 5842/606, 2177/190
1. What is the HCF of 5842,2177?
The HCF of 5842,2177 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 5842/606, 2177/190?
Answer: GCF of Numerators as per given numbers 5842/606, 2177/190 is
GCF of Numerators i.e. for 5842,2177 is 1
LCM of denominators i.e. for 606,190 is 57570.
Thus, GCF of Fractions is 1/57570.Finally, GCF of Fractions for 5842/606, 2177/190 is 1/57570.