GCF of 5047/364, 3639/1092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5047/364, 3639/1092 i.e 1/1092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5047/364, 3639/1092.
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 5047/364,3639/1092?
Given fractions are 5047/364,3639/1092
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 5047/364,3639/1092, numerators are 5047,3639
Denominators are 364,1092
The GCF of 5047,3639 is 1 .
LCM of 364,1092 is 1092.
The greatest common factor of 5047/364,3639/1092 = [GCF of 5047,3639]/[LCM of 364,1092]= 1/1092
Therefore, the GCF of 5047/364,3639/1092 is 1/1092.
To find the highest common factor of 5047,3639, we have to find the factors of both numbers and list the highest common factor.
The factors of 5047 are 1, 7, 49, 103, 721, 5047
The factors of 3639 are 1, 3, 1213, 3639
The HCF of 5047,3639 is 1.
Lets's calculate GCF of 5047,3639
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5047,3639 By Matching Biggest Common Factor Method
Now, list down the factors of 5047
:1,7,49,103,721,5047
Now, list down the factors of 3639
:1,3,1213,3639
Greatest Common Factor
We found the factors 5047,3639 . The biggest common factor number is the GCF number.
So the greatest common factor 5047,3639 is 1.
Lets's calculate LCM of 364,1092
| 2 | 364, 1092 |
| 2 | 182, 546 |
| 7 | 91, 273 |
| 13 | 13, 39 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 1 x 3 = 1092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092
Therefore, the GCF of Fractions 5047/364,3639/1092 is 1/1092
Least Common Multiple of 364,1092 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 364,1092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,1092) = 364
common factors(in case of two or more numbers have common factors) = 1
GCF(364,1092) x common factors =364 x 1 = 364
LCM(364,1092) = ( 364 × 1092 ) / 364
LCM(364,1092) = 397488 / 364
LCM(364,1092) = 1092
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5047/364, 3639/1092
1. What is the HCF of 5047,3639?
The HCF of 5047,3639 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 5047/364, 3639/1092?
Answer: GCF of Numerators as per given numbers 5047/364, 3639/1092 is
GCF of Numerators i.e. for 5047,3639 is 1
LCM of denominators i.e. for 364,1092 is 1092.
Thus, GCF of Fractions is 1/1092.Finally, GCF of Fractions for 5047/364, 3639/1092 is 1/1092.