GCF of 7455/869, 7305/5104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7455/869, 7305/5104 i.e 15/403216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7455/869, 7305/5104.
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 7455/869,7305/5104?
Given fractions are 7455/869,7305/5104
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 7455/869,7305/5104, numerators are 7455,7305
Denominators are 869,5104
The GCF of 7455,7305 is 15 .
LCM of 869,5104 is 403216.
The greatest common factor of 7455/869,7305/5104 = [GCF of 7455,7305]/[LCM of 869,5104]= 15/403216
Therefore, the GCF of 7455/869,7305/5104 is 15/403216.
To find the highest common factor of 7455,7305, we have to find the factors of both numbers and list the highest common factor.
The factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305
The HCF of 7455,7305 is 15.
Lets's calculate GCF of 7455,7305
| 3 | 7455, 7305 |
| 5 | 2485, 2435 |
| 497, 487 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7455,7305 By Matching Biggest Common Factor Method
Now, list down the factors of 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Now, list down the factors of 7305
:1,3,5,15,487,1461,2435,7305
Greatest Common Factor
We found the factors 7455,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 7455,7305 is 15.
Lets's calculate LCM of 869,5104
| 11 | 869, 5104 |
| 79, 464 |
∴ So the LCM of the given numbers is 11 x 79 x 464 = 403216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/403216
Therefore, the GCF of Fractions 7455/869,7305/5104 is 15/403216
Least Common Multiple of 869,5104 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 869,5104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,5104) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(869,5104) x common factors =11 x 1 = 11
LCM(869,5104) = ( 869 × 5104 ) / 11
LCM(869,5104) = 4435376 / 11
LCM(869,5104) = 403216
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FAQs on GCF of Fractions of 7455/869, 7305/5104
1. What is the HCF of 7455,7305?
The HCF of 7455,7305 is 15
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 7455/869, 7305/5104?
Answer: GCF of Numerators as per given numbers 7455/869, 7305/5104 is
GCF of Numerators i.e. for 7455,7305 is 15
LCM of denominators i.e. for 869,5104 is 403216.
Thus, GCF of Fractions is 15/403216.Finally, GCF of Fractions for 7455/869, 7305/5104 is 15/403216.