GCF of 2633/836, 3074/6086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2633/836, 3074/6086 i.e 1/2543948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2633/836, 3074/6086.
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 2633/836,3074/6086?
Given fractions are 2633/836,3074/6086
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 2633/836,3074/6086, numerators are 2633,3074
Denominators are 836,6086
The GCF of 2633,3074 is 1 .
LCM of 836,6086 is 2543948.
The greatest common factor of 2633/836,3074/6086 = [GCF of 2633,3074]/[LCM of 836,6086]= 1/2543948
Therefore, the GCF of 2633/836,3074/6086 is 1/2543948.
To find the highest common factor of 2633,3074, we have to find the factors of both numbers and list the highest common factor.
The factors of 2633 are 1, 2633
The factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074
The HCF of 2633,3074 is 1.
Lets's calculate GCF of 2633,3074
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2633,3074 By Matching Biggest Common Factor Method
Now, list down the factors of 2633
:1,2633
Now, list down the factors of 3074
:1,2,29,53,58,106,1537,3074
Greatest Common Factor
We found the factors 2633,3074 . The biggest common factor number is the GCF number.
So the greatest common factor 2633,3074 is 1.
Lets's calculate LCM of 836,6086
| 2 | 836, 6086 |
| 418, 3043 |
∴ So the LCM of the given numbers is 2 x 418 x 3043 = 2543948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2543948
Therefore, the GCF of Fractions 2633/836,3074/6086 is 1/2543948
Least Common Multiple of 836,6086 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 836,6086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,6086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,6086) x common factors =2 x 1 = 2
LCM(836,6086) = ( 836 × 6086 ) / 2
LCM(836,6086) = 5087896 / 2
LCM(836,6086) = 2543948
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2633/836, 3074/6086
1. What is the HCF of 2633,3074?
The HCF of 2633,3074 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 2633/836, 3074/6086?
Answer: GCF of Numerators as per given numbers 2633/836, 3074/6086 is
GCF of Numerators i.e. for 2633,3074 is 1
LCM of denominators i.e. for 836,6086 is 2543948.
Thus, GCF of Fractions is 1/2543948.Finally, GCF of Fractions for 2633/836, 3074/6086 is 1/2543948.