GCF of 5966/165, 8974/2036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5966/165, 8974/2036 i.e 2/335940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5966/165, 8974/2036.
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 5966/165,8974/2036?
Given fractions are 5966/165,8974/2036
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 5966/165,8974/2036, numerators are 5966,8974
Denominators are 165,2036
The GCF of 5966,8974 is 2 .
LCM of 165,2036 is 335940.
The greatest common factor of 5966/165,8974/2036 = [GCF of 5966,8974]/[LCM of 165,2036]= 2/335940
Therefore, the GCF of 5966/165,8974/2036 is 2/335940.
To find the highest common factor of 5966,8974, we have to find the factors of both numbers and list the highest common factor.
The factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966
The factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974
The HCF of 5966,8974 is 2.
Lets's calculate GCF of 5966,8974
| 2 | 5966, 8974 |
| 2983, 4487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5966,8974 By Matching Biggest Common Factor Method
Now, list down the factors of 5966
:1,2,19,38,157,314,2983,5966
Now, list down the factors of 8974
:1,2,7,14,641,1282,4487,8974
Greatest Common Factor
We found the factors 5966,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 5966,8974 is 2.
Lets's calculate LCM of 165,2036
Given numbers has no common factors except 1. So, there LCM is their product i.e 335940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/335940
Therefore, the GCF of Fractions 5966/165,8974/2036 is 2/335940
Least Common Multiple of 165,2036 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 165,2036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,2036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,2036) x common factors =1 x 1 = 1
LCM(165,2036) = ( 165 × 2036 ) / 1
LCM(165,2036) = 335940 / 1
LCM(165,2036) = 335940
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FAQs on GCF of Fractions of 5966/165, 8974/2036
1. What is the HCF of 5966,8974?
The HCF of 5966,8974 is 2
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 5966/165, 8974/2036?
Answer: GCF of Numerators as per given numbers 5966/165, 8974/2036 is
GCF of Numerators i.e. for 5966,8974 is 2
LCM of denominators i.e. for 165,2036 is 335940.
Thus, GCF of Fractions is 2/335940.Finally, GCF of Fractions for 5966/165, 8974/2036 is 2/335940.