GCF of 7890/724, 5265/4179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7890/724, 5265/4179 i.e 15/3025596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7890/724, 5265/4179.
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 7890/724,5265/4179?
Given fractions are 7890/724,5265/4179
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 7890/724,5265/4179, numerators are 7890,5265
Denominators are 724,4179
The GCF of 7890,5265 is 15 .
LCM of 724,4179 is 3025596.
The greatest common factor of 7890/724,5265/4179 = [GCF of 7890,5265]/[LCM of 724,4179]= 15/3025596
Therefore, the GCF of 7890/724,5265/4179 is 15/3025596.
To find the highest common factor of 7890,5265, we have to find the factors of both numbers and list the highest common factor.
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The HCF of 7890,5265 is 15.
Lets's calculate GCF of 7890,5265
| 3 | 7890, 5265 |
| 5 | 2630, 1755 |
| 526, 351 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7890,5265 By Matching Biggest Common Factor Method
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Greatest Common Factor
We found the factors 7890,5265 . The biggest common factor number is the GCF number.
So the greatest common factor 7890,5265 is 15.
Lets's calculate LCM of 724,4179
Given numbers has no common factors except 1. So, there LCM is their product i.e 3025596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3025596
Therefore, the GCF of Fractions 7890/724,5265/4179 is 15/3025596
Least Common Multiple of 724,4179 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 724,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4179) x common factors =1 x 1 = 1
LCM(724,4179) = ( 724 × 4179 ) / 1
LCM(724,4179) = 3025596 / 1
LCM(724,4179) = 3025596
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FAQs on GCF of Fractions of 7890/724, 5265/4179
1. What is the HCF of 7890,5265?
The HCF of 7890,5265 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 7890/724, 5265/4179?
Answer: GCF of Numerators as per given numbers 7890/724, 5265/4179 is
GCF of Numerators i.e. for 7890,5265 is 15
LCM of denominators i.e. for 724,4179 is 3025596.
Thus, GCF of Fractions is 15/3025596.Finally, GCF of Fractions for 7890/724, 5265/4179 is 15/3025596.