GCF of 8544/624, 7180/8376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8544/624, 7180/8376 i.e 4/217776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8544/624, 7180/8376.
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 8544/624,7180/8376?
Given fractions are 8544/624,7180/8376
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 8544/624,7180/8376, numerators are 8544,7180
Denominators are 624,8376
The GCF of 8544,7180 is 4 .
LCM of 624,8376 is 217776.
The greatest common factor of 8544/624,7180/8376 = [GCF of 8544,7180]/[LCM of 624,8376]= 4/217776
Therefore, the GCF of 8544/624,7180/8376 is 4/217776.
To find the highest common factor of 8544,7180, we have to find the factors of both numbers and list the highest common factor.
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180
The HCF of 8544,7180 is 4.
Lets's calculate GCF of 8544,7180
| 2 | 8544, 7180 |
| 2 | 4272, 3590 |
| 2136, 1795 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8544,7180 By Matching Biggest Common Factor Method
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Now, list down the factors of 7180
:1,2,4,5,10,20,359,718,1436,1795,3590,7180
Greatest Common Factor
We found the factors 8544,7180 . The biggest common factor number is the GCF number.
So the greatest common factor 8544,7180 is 4.
Lets's calculate LCM of 624,8376
| 2 | 624, 8376 |
| 2 | 312, 4188 |
| 2 | 156, 2094 |
| 3 | 78, 1047 |
| 26, 349 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 26 x 349 = 217776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/217776
Therefore, the GCF of Fractions 8544/624,7180/8376 is 4/217776
Least Common Multiple of 624,8376 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 624,8376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,8376) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(624,8376) x common factors =24 x 1 = 24
LCM(624,8376) = ( 624 × 8376 ) / 24
LCM(624,8376) = 5226624 / 24
LCM(624,8376) = 217776
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8544/624, 7180/8376
1. What is the HCF of 8544,7180?
The HCF of 8544,7180 is 4
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 8544/624, 7180/8376?
Answer: GCF of Numerators as per given numbers 8544/624, 7180/8376 is
GCF of Numerators i.e. for 8544,7180 is 4
LCM of denominators i.e. for 624,8376 is 217776.
Thus, GCF of Fractions is 4/217776.Finally, GCF of Fractions for 8544/624, 7180/8376 is 4/217776.