GCF of 9160/695, 1545/5219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9160/695, 1545/5219 i.e 5/3627205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9160/695, 1545/5219.
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 9160/695,1545/5219?
Given fractions are 9160/695,1545/5219
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 9160/695,1545/5219, numerators are 9160,1545
Denominators are 695,5219
The GCF of 9160,1545 is 5 .
LCM of 695,5219 is 3627205.
The greatest common factor of 9160/695,1545/5219 = [GCF of 9160,1545]/[LCM of 695,5219]= 5/3627205
Therefore, the GCF of 9160/695,1545/5219 is 5/3627205.
To find the highest common factor of 9160,1545, we have to find the factors of both numbers and list the highest common factor.
The factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160
The factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545
The HCF of 9160,1545 is 5.
Lets's calculate GCF of 9160,1545
| 5 | 9160, 1545 |
| 1832, 309 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9160,1545 By Matching Biggest Common Factor Method
Now, list down the factors of 9160
:1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Now, list down the factors of 1545
:1,3,5,15,103,309,515,1545
Greatest Common Factor
We found the factors 9160,1545 . The biggest common factor number is the GCF number.
So the greatest common factor 9160,1545 is 5.
Lets's calculate LCM of 695,5219
Given numbers has no common factors except 1. So, there LCM is their product i.e 3627205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3627205
Therefore, the GCF of Fractions 9160/695,1545/5219 is 5/3627205
Least Common Multiple of 695,5219 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 695,5219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,5219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,5219) x common factors =1 x 1 = 1
LCM(695,5219) = ( 695 × 5219 ) / 1
LCM(695,5219) = 3627205 / 1
LCM(695,5219) = 3627205
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FAQs on GCF of Fractions of 9160/695, 1545/5219
1. What is the HCF of 9160,1545?
The HCF of 9160,1545 is 5
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 9160/695, 1545/5219?
Answer: GCF of Numerators as per given numbers 9160/695, 1545/5219 is
GCF of Numerators i.e. for 9160,1545 is 5
LCM of denominators i.e. for 695,5219 is 3627205.
Thus, GCF of Fractions is 5/3627205.Finally, GCF of Fractions for 9160/695, 1545/5219 is 5/3627205.