GCF of 723/252, 5152/9079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 723/252, 5152/9079 i.e 1/326844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 723/252, 5152/9079.
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 723/252,5152/9079?
Given fractions are 723/252,5152/9079
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 723/252,5152/9079, numerators are 723,5152
Denominators are 252,9079
The GCF of 723,5152 is 1 .
LCM of 252,9079 is 326844.
The greatest common factor of 723/252,5152/9079 = [GCF of 723,5152]/[LCM of 252,9079]= 1/326844
Therefore, the GCF of 723/252,5152/9079 is 1/326844.
To find the highest common factor of 723,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 723 are 1, 3, 241, 723
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 723,5152 is 1.
Lets's calculate GCF of 723,5152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 723,5152 By Matching Biggest Common Factor Method
Now, list down the factors of 723
:1,3,241,723
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 723,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 723,5152 is 1.
Lets's calculate LCM of 252,9079
| 7 | 252, 9079 |
| 36, 1297 |
∴ So the LCM of the given numbers is 7 x 36 x 1297 = 326844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326844
Therefore, the GCF of Fractions 723/252,5152/9079 is 1/326844
Least Common Multiple of 252,9079 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 252,9079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,9079) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(252,9079) x common factors =7 x 1 = 7
LCM(252,9079) = ( 252 × 9079 ) / 7
LCM(252,9079) = 2287908 / 7
LCM(252,9079) = 326844
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FAQs on GCF of Fractions of 723/252, 5152/9079
1. What is the HCF of 723,5152?
The HCF of 723,5152 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 723/252, 5152/9079?
Answer: GCF of Numerators as per given numbers 723/252, 5152/9079 is
GCF of Numerators i.e. for 723,5152 is 1
LCM of denominators i.e. for 252,9079 is 326844.
Thus, GCF of Fractions is 1/326844.Finally, GCF of Fractions for 723/252, 5152/9079 is 1/326844.