GCF of 7608/26, 8352/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7608/26, 8352/267 i.e 24/6942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7608/26, 8352/267.
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 7608/26,8352/267?
Given fractions are 7608/26,8352/267
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 7608/26,8352/267, numerators are 7608,8352
Denominators are 26,267
The GCF of 7608,8352 is 24 .
LCM of 26,267 is 6942.
The greatest common factor of 7608/26,8352/267 = [GCF of 7608,8352]/[LCM of 26,267]= 24/6942
Therefore, the GCF of 7608/26,8352/267 is 24/6942.
To find the highest common factor of 7608,8352, we have to find the factors of both numbers and list the highest common factor.
The factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The HCF of 7608,8352 is 24.
Lets's calculate GCF of 7608,8352
| 2 | 7608, 8352 |
| 2 | 3804, 4176 |
| 2 | 1902, 2088 |
| 3 | 951, 1044 |
| 317, 348 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 7608,8352 By Matching Biggest Common Factor Method
Now, list down the factors of 7608
:1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Greatest Common Factor
We found the factors 7608,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 7608,8352 is 24.
Lets's calculate LCM of 26,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 6942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/6942
Therefore, the GCF of Fractions 7608/26,8352/267 is 24/6942
Least Common Multiple of 26,267 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 26,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,267) x common factors =1 x 1 = 1
LCM(26,267) = ( 26 × 267 ) / 1
LCM(26,267) = 6942 / 1
LCM(26,267) = 6942
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7608/26, 8352/267
1. What is the HCF of 7608,8352?
The HCF of 7608,8352 is 24
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 7608/26, 8352/267?
Answer: GCF of Numerators as per given numbers 7608/26, 8352/267 is
GCF of Numerators i.e. for 7608,8352 is 24
LCM of denominators i.e. for 26,267 is 6942.
Thus, GCF of Fractions is 24/6942.Finally, GCF of Fractions for 7608/26, 8352/267 is 24/6942.