GCF of 9645/628, 5837/171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9645/628, 5837/171 i.e 1/107388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9645/628, 5837/171.
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 9645/628,5837/171?
Given fractions are 9645/628,5837/171
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 9645/628,5837/171, numerators are 9645,5837
Denominators are 628,171
The GCF of 9645,5837 is 1 .
LCM of 628,171 is 107388.
The greatest common factor of 9645/628,5837/171 = [GCF of 9645,5837]/[LCM of 628,171]= 1/107388
Therefore, the GCF of 9645/628,5837/171 is 1/107388.
To find the highest common factor of 9645,5837, we have to find the factors of both numbers and list the highest common factor.
The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645
The factors of 5837 are 1, 13, 449, 5837
The HCF of 9645,5837 is 1.
Lets's calculate GCF of 9645,5837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9645,5837 By Matching Biggest Common Factor Method
Now, list down the factors of 9645
:1,3,5,15,643,1929,3215,9645
Now, list down the factors of 5837
:1,13,449,5837
Greatest Common Factor
We found the factors 9645,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 9645,5837 is 1.
Lets's calculate LCM of 628,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 107388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107388
Therefore, the GCF of Fractions 9645/628,5837/171 is 1/107388
Least Common Multiple of 628,171 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 628,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,171) x common factors =1 x 1 = 1
LCM(628,171) = ( 628 × 171 ) / 1
LCM(628,171) = 107388 / 1
LCM(628,171) = 107388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9645/628, 5837/171
1. What is the HCF of 9645,5837?
The HCF of 9645,5837 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 9645/628, 5837/171?
Answer: GCF of Numerators as per given numbers 9645/628, 5837/171 is
GCF of Numerators i.e. for 9645,5837 is 1
LCM of denominators i.e. for 628,171 is 107388.
Thus, GCF of Fractions is 1/107388.Finally, GCF of Fractions for 9645/628, 5837/171 is 1/107388.