GCF of 1365/151, 2247/6053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1365/151, 2247/6053 i.e 21/914003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1365/151, 2247/6053.
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 1365/151,2247/6053?
Given fractions are 1365/151,2247/6053
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 1365/151,2247/6053, numerators are 1365,2247
Denominators are 151,6053
The GCF of 1365,2247 is 21 .
LCM of 151,6053 is 914003.
The greatest common factor of 1365/151,2247/6053 = [GCF of 1365,2247]/[LCM of 151,6053]= 21/914003
Therefore, the GCF of 1365/151,2247/6053 is 21/914003.
To find the highest common factor of 1365,2247, we have to find the factors of both numbers and list the highest common factor.
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 1365,2247 is 21.
Lets's calculate GCF of 1365,2247
| 3 | 1365, 2247 |
| 7 | 455, 749 |
| 65, 107 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 1365,2247 By Matching Biggest Common Factor Method
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 1365,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,2247 is 21.
Lets's calculate LCM of 151,6053
Given numbers has no common factors except 1. So, there LCM is their product i.e 914003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/914003
Therefore, the GCF of Fractions 1365/151,2247/6053 is 21/914003
Least Common Multiple of 151,6053 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 151,6053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,6053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,6053) x common factors =1 x 1 = 1
LCM(151,6053) = ( 151 × 6053 ) / 1
LCM(151,6053) = 914003 / 1
LCM(151,6053) = 914003
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FAQs on GCF of Fractions of 1365/151, 2247/6053
1. What is the HCF of 1365,2247?
The HCF of 1365,2247 is 21
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 1365/151, 2247/6053?
Answer: GCF of Numerators as per given numbers 1365/151, 2247/6053 is
GCF of Numerators i.e. for 1365,2247 is 21
LCM of denominators i.e. for 151,6053 is 914003.
Thus, GCF of Fractions is 21/914003.Finally, GCF of Fractions for 1365/151, 2247/6053 is 21/914003.