GCF of 7509/274, 5832/2367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7509/274, 5832/2367 i.e 3/648558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7509/274, 5832/2367.
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 7509/274,5832/2367?
Given fractions are 7509/274,5832/2367
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 7509/274,5832/2367, numerators are 7509,5832
Denominators are 274,2367
The GCF of 7509,5832 is 3 .
LCM of 274,2367 is 648558.
The greatest common factor of 7509/274,5832/2367 = [GCF of 7509,5832]/[LCM of 274,2367]= 3/648558
Therefore, the GCF of 7509/274,5832/2367 is 3/648558.
To find the highest common factor of 7509,5832, we have to find the factors of both numbers and list the highest common factor.
The factors of 7509 are 1, 3, 2503, 7509
The factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832
The HCF of 7509,5832 is 3.
Lets's calculate GCF of 7509,5832
| 3 | 7509, 5832 |
| 2503, 1944 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7509,5832 By Matching Biggest Common Factor Method
Now, list down the factors of 7509
:1,3,2503,7509
Now, list down the factors of 5832
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832
Greatest Common Factor
We found the factors 7509,5832 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,5832 is 3.
Lets's calculate LCM of 274,2367
Given numbers has no common factors except 1. So, there LCM is their product i.e 648558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/648558
Therefore, the GCF of Fractions 7509/274,5832/2367 is 3/648558
Least Common Multiple of 274,2367 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 274,2367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,2367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,2367) x common factors =1 x 1 = 1
LCM(274,2367) = ( 274 × 2367 ) / 1
LCM(274,2367) = 648558 / 1
LCM(274,2367) = 648558
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FAQs on GCF of Fractions of 7509/274, 5832/2367
1. What is the HCF of 7509,5832?
The HCF of 7509,5832 is 3
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 7509/274, 5832/2367?
Answer: GCF of Numerators as per given numbers 7509/274, 5832/2367 is
GCF of Numerators i.e. for 7509,5832 is 3
LCM of denominators i.e. for 274,2367 is 648558.
Thus, GCF of Fractions is 3/648558.Finally, GCF of Fractions for 7509/274, 5832/2367 is 3/648558.