GCF of 1137/669, 1194/3181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1137/669, 1194/3181 i.e 3/2128089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1137/669, 1194/3181.
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 1137/669,1194/3181?
Given fractions are 1137/669,1194/3181
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 1137/669,1194/3181, numerators are 1137,1194
Denominators are 669,3181
The GCF of 1137,1194 is 3 .
LCM of 669,3181 is 2128089.
The greatest common factor of 1137/669,1194/3181 = [GCF of 1137,1194]/[LCM of 669,3181]= 3/2128089
Therefore, the GCF of 1137/669,1194/3181 is 3/2128089.
To find the highest common factor of 1137,1194, 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 1194 are 1, 2, 3, 6, 199, 398, 597, 1194
The HCF of 1137,1194 is 3.
Lets's calculate GCF of 1137,1194
| 3 | 1137, 1194 |
| 379, 398 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1137,1194 By Matching Biggest Common Factor Method
Now, list down the factors of 1137
:1,3,379,1137
Now, list down the factors of 1194
:1,2,3,6,199,398,597,1194
Greatest Common Factor
We found the factors 1137,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 1137,1194 is 3.
Lets's calculate LCM of 669,3181
Given numbers has no common factors except 1. So, there LCM is their product i.e 2128089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2128089
Therefore, the GCF of Fractions 1137/669,1194/3181 is 3/2128089
Least Common Multiple of 669,3181 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 669,3181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,3181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,3181) x common factors =1 x 1 = 1
LCM(669,3181) = ( 669 × 3181 ) / 1
LCM(669,3181) = 2128089 / 1
LCM(669,3181) = 2128089
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1137/669, 1194/3181
1. What is the HCF of 1137,1194?
The HCF of 1137,1194 is 3
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 1137/669, 1194/3181?
Answer: GCF of Numerators as per given numbers 1137/669, 1194/3181 is
GCF of Numerators i.e. for 1137,1194 is 3
LCM of denominators i.e. for 669,3181 is 2128089.
Thus, GCF of Fractions is 3/2128089.Finally, GCF of Fractions for 1137/669, 1194/3181 is 3/2128089.