GCF of 868/161, 6045/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/161, 6045/157 i.e 31/25277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/161, 6045/157.
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 868/161,6045/157?
Given fractions are 868/161,6045/157
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 868/161,6045/157, numerators are 868,6045
Denominators are 161,157
The GCF of 868,6045 is 31 .
LCM of 161,157 is 25277.
The greatest common factor of 868/161,6045/157 = [GCF of 868,6045]/[LCM of 161,157]= 31/25277
Therefore, the GCF of 868/161,6045/157 is 31/25277.
To find the highest common factor of 868,6045, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
The HCF of 868,6045 is 31.
Lets's calculate GCF of 868,6045
| 31 | 868, 6045 |
| 28, 195 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 868,6045 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 6045
:1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Greatest Common Factor
We found the factors 868,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 868,6045 is 31.
Lets's calculate LCM of 161,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 25277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/25277
Therefore, the GCF of Fractions 868/161,6045/157 is 31/25277
Least Common Multiple of 161,157 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 161,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,157) x common factors =1 x 1 = 1
LCM(161,157) = ( 161 × 157 ) / 1
LCM(161,157) = 25277 / 1
LCM(161,157) = 25277
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FAQs on GCF of Fractions of 868/161, 6045/157
1. What is the HCF of 868,6045?
The HCF of 868,6045 is 31
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 868/161, 6045/157?
Answer: GCF of Numerators as per given numbers 868/161, 6045/157 is
GCF of Numerators i.e. for 868,6045 is 31
LCM of denominators i.e. for 161,157 is 25277.
Thus, GCF of Fractions is 31/25277.Finally, GCF of Fractions for 868/161, 6045/157 is 31/25277.