GCF of 9359/137, 1145/4120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9359/137, 1145/4120 i.e 1/564440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9359/137, 1145/4120.
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 9359/137,1145/4120?
Given fractions are 9359/137,1145/4120
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 9359/137,1145/4120, numerators are 9359,1145
Denominators are 137,4120
The GCF of 9359,1145 is 1 .
LCM of 137,4120 is 564440.
The greatest common factor of 9359/137,1145/4120 = [GCF of 9359,1145]/[LCM of 137,4120]= 1/564440
Therefore, the GCF of 9359/137,1145/4120 is 1/564440.
To find the highest common factor of 9359,1145, we have to find the factors of both numbers and list the highest common factor.
The factors of 9359 are 1, 7, 49, 191, 1337, 9359
The factors of 1145 are 1, 5, 229, 1145
The HCF of 9359,1145 is 1.
Lets's calculate GCF of 9359,1145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9359,1145 By Matching Biggest Common Factor Method
Now, list down the factors of 9359
:1,7,49,191,1337,9359
Now, list down the factors of 1145
:1,5,229,1145
Greatest Common Factor
We found the factors 9359,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 9359,1145 is 1.
Lets's calculate LCM of 137,4120
Given numbers has no common factors except 1. So, there LCM is their product i.e 564440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564440
Therefore, the GCF of Fractions 9359/137,1145/4120 is 1/564440
Least Common Multiple of 137,4120 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 137,4120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,4120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,4120) x common factors =1 x 1 = 1
LCM(137,4120) = ( 137 × 4120 ) / 1
LCM(137,4120) = 564440 / 1
LCM(137,4120) = 564440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9359/137, 1145/4120
1. What is the HCF of 9359,1145?
The HCF of 9359,1145 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 9359/137, 1145/4120?
Answer: GCF of Numerators as per given numbers 9359/137, 1145/4120 is
GCF of Numerators i.e. for 9359,1145 is 1
LCM of denominators i.e. for 137,4120 is 564440.
Thus, GCF of Fractions is 1/564440.Finally, GCF of Fractions for 9359/137, 1145/4120 is 1/564440.