GCF of 1137/365, 1691/5334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1137/365, 1691/5334 i.e 1/1946910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1137/365, 1691/5334.
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 1137/365,1691/5334?
Given fractions are 1137/365,1691/5334
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 1137/365,1691/5334, numerators are 1137,1691
Denominators are 365,5334
The GCF of 1137,1691 is 1 .
LCM of 365,5334 is 1946910.
The greatest common factor of 1137/365,1691/5334 = [GCF of 1137,1691]/[LCM of 365,5334]= 1/1946910
Therefore, the GCF of 1137/365,1691/5334 is 1/1946910.
To find the highest common factor of 1137,1691, we have to find the factors of both numbers and list the highest common factor.
The factors of 1137 are 1, 3, 379, 1137
The factors of 1691 are 1, 19, 89, 1691
The HCF of 1137,1691 is 1.
Lets's calculate GCF of 1137,1691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1137,1691 By Matching Biggest Common Factor Method
Now, list down the factors of 1137
:1,3,379,1137
Now, list down the factors of 1691
:1,19,89,1691
Greatest Common Factor
We found the factors 1137,1691 . The biggest common factor number is the GCF number.
So the greatest common factor 1137,1691 is 1.
Lets's calculate LCM of 365,5334
Given numbers has no common factors except 1. So, there LCM is their product i.e 1946910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1946910
Therefore, the GCF of Fractions 1137/365,1691/5334 is 1/1946910
Least Common Multiple of 365,5334 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 365,5334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,5334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,5334) x common factors =1 x 1 = 1
LCM(365,5334) = ( 365 × 5334 ) / 1
LCM(365,5334) = 1946910 / 1
LCM(365,5334) = 1946910
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1137/365, 1691/5334
1. What is the HCF of 1137,1691?
The HCF of 1137,1691 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 1137/365, 1691/5334?
Answer: GCF of Numerators as per given numbers 1137/365, 1691/5334 is
GCF of Numerators i.e. for 1137,1691 is 1
LCM of denominators i.e. for 365,5334 is 1946910.
Thus, GCF of Fractions is 1/1946910.Finally, GCF of Fractions for 1137/365, 1691/5334 is 1/1946910.