GCF of 5842/167, 8954/647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5842/167, 8954/647 i.e 2/108049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5842/167, 8954/647.
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 5842/167,8954/647?
Given fractions are 5842/167,8954/647
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 5842/167,8954/647, numerators are 5842,8954
Denominators are 167,647
The GCF of 5842,8954 is 2 .
LCM of 167,647 is 108049.
The greatest common factor of 5842/167,8954/647 = [GCF of 5842,8954]/[LCM of 167,647]= 2/108049
Therefore, the GCF of 5842/167,8954/647 is 2/108049.
To find the highest common factor of 5842,8954, 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 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954
The HCF of 5842,8954 is 2.
Lets's calculate GCF of 5842,8954
| 2 | 5842, 8954 |
| 2921, 4477 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5842,8954 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 8954
:1,2,11,22,37,74,121,242,407,814,4477,8954
Greatest Common Factor
We found the factors 5842,8954 . The biggest common factor number is the GCF number.
So the greatest common factor 5842,8954 is 2.
Lets's calculate LCM of 167,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 108049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108049
Therefore, the GCF of Fractions 5842/167,8954/647 is 2/108049
Least Common Multiple of 167,647 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 167,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,647) x common factors =1 x 1 = 1
LCM(167,647) = ( 167 × 647 ) / 1
LCM(167,647) = 108049 / 1
LCM(167,647) = 108049
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FAQs on GCF of Fractions of 5842/167, 8954/647
1. What is the HCF of 5842,8954?
The HCF of 5842,8954 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 5842/167, 8954/647?
Answer: GCF of Numerators as per given numbers 5842/167, 8954/647 is
GCF of Numerators i.e. for 5842,8954 is 2
LCM of denominators i.e. for 167,647 is 108049.
Thus, GCF of Fractions is 2/108049.Finally, GCF of Fractions for 5842/167, 8954/647 is 2/108049.