GCF of 8208/24, 7878/968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8208/24, 7878/968 i.e 6/2904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8208/24, 7878/968.
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 8208/24,7878/968?
Given fractions are 8208/24,7878/968
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 8208/24,7878/968, numerators are 8208,7878
Denominators are 24,968
The GCF of 8208,7878 is 6 .
LCM of 24,968 is 2904.
The greatest common factor of 8208/24,7878/968 = [GCF of 8208,7878]/[LCM of 24,968]= 6/2904
Therefore, the GCF of 8208/24,7878/968 is 6/2904.
To find the highest common factor of 8208,7878, we have to find the factors of both numbers and list the highest common factor.
The factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The HCF of 8208,7878 is 6.
Lets's calculate GCF of 8208,7878
| 2 | 8208, 7878 |
| 3 | 4104, 3939 |
| 1368, 1313 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8208,7878 By Matching Biggest Common Factor Method
Now, list down the factors of 8208
:1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Greatest Common Factor
We found the factors 8208,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 8208,7878 is 6.
Lets's calculate LCM of 24,968
| 2 | 24, 968 |
| 2 | 12, 484 |
| 2 | 6, 242 |
| 3, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 121 = 2904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2904
Therefore, the GCF of Fractions 8208/24,7878/968 is 6/2904
Least Common Multiple of 24,968 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 24,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(24,968) x common factors =8 x 1 = 8
LCM(24,968) = ( 24 × 968 ) / 8
LCM(24,968) = 23232 / 8
LCM(24,968) = 2904
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8208/24, 7878/968
1. What is the HCF of 8208,7878?
The HCF of 8208,7878 is 6
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 8208/24, 7878/968?
Answer: GCF of Numerators as per given numbers 8208/24, 7878/968 is
GCF of Numerators i.e. for 8208,7878 is 6
LCM of denominators i.e. for 24,968 is 2904.
Thus, GCF of Fractions is 6/2904.Finally, GCF of Fractions for 8208/24, 7878/968 is 6/2904.