GCF of 7518/466, 8907/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7518/466, 8907/684 i.e 3/159372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7518/466, 8907/684.
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 7518/466,8907/684?
Given fractions are 7518/466,8907/684
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 7518/466,8907/684, numerators are 7518,8907
Denominators are 466,684
The GCF of 7518,8907 is 3 .
LCM of 466,684 is 159372.
The greatest common factor of 7518/466,8907/684 = [GCF of 7518,8907]/[LCM of 466,684]= 3/159372
Therefore, the GCF of 7518/466,8907/684 is 3/159372.
To find the highest common factor of 7518,8907, we have to find the factors of both numbers and list the highest common factor.
The factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518
The factors of 8907 are 1, 3, 2969, 8907
The HCF of 7518,8907 is 3.
Lets's calculate GCF of 7518,8907
| 3 | 7518, 8907 |
| 2506, 2969 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7518,8907 By Matching Biggest Common Factor Method
Now, list down the factors of 7518
:1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518
Now, list down the factors of 8907
:1,3,2969,8907
Greatest Common Factor
We found the factors 7518,8907 . The biggest common factor number is the GCF number.
So the greatest common factor 7518,8907 is 3.
Lets's calculate LCM of 466,684
| 2 | 466, 684 |
| 233, 342 |
∴ So the LCM of the given numbers is 2 x 233 x 342 = 159372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159372
Therefore, the GCF of Fractions 7518/466,8907/684 is 3/159372
Least Common Multiple of 466,684 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 466,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,684) x common factors =2 x 1 = 2
LCM(466,684) = ( 466 × 684 ) / 2
LCM(466,684) = 318744 / 2
LCM(466,684) = 159372
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7518/466, 8907/684
1. What is the HCF of 7518,8907?
The HCF of 7518,8907 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 7518/466, 8907/684?
Answer: GCF of Numerators as per given numbers 7518/466, 8907/684 is
GCF of Numerators i.e. for 7518,8907 is 3
LCM of denominators i.e. for 466,684 is 159372.
Thus, GCF of Fractions is 3/159372.Finally, GCF of Fractions for 7518/466, 8907/684 is 3/159372.