GCF of 8796/753, 8352/9544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8796/753, 8352/9544 i.e 12/7186632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8796/753, 8352/9544.
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 8796/753,8352/9544?
Given fractions are 8796/753,8352/9544
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 8796/753,8352/9544, numerators are 8796,8352
Denominators are 753,9544
The GCF of 8796,8352 is 12 .
LCM of 753,9544 is 7186632.
The greatest common factor of 8796/753,8352/9544 = [GCF of 8796,8352]/[LCM of 753,9544]= 12/7186632
Therefore, the GCF of 8796/753,8352/9544 is 12/7186632.
To find the highest common factor of 8796,8352, we have to find the factors of both numbers and list the highest common factor.
The factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796
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 8796,8352 is 12.
Lets's calculate GCF of 8796,8352
| 2 | 8796, 8352 |
| 2 | 4398, 4176 |
| 3 | 2199, 2088 |
| 733, 696 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8796,8352 By Matching Biggest Common Factor Method
Now, list down the factors of 8796
:1,2,3,4,6,12,733,1466,2199,2932,4398,8796
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 8796,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 8796,8352 is 12.
Lets's calculate LCM of 753,9544
Given numbers has no common factors except 1. So, there LCM is their product i.e 7186632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/7186632
Therefore, the GCF of Fractions 8796/753,8352/9544 is 12/7186632
Least Common Multiple of 753,9544 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 753,9544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,9544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,9544) x common factors =1 x 1 = 1
LCM(753,9544) = ( 753 × 9544 ) / 1
LCM(753,9544) = 7186632 / 1
LCM(753,9544) = 7186632
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FAQs on GCF of Fractions of 8796/753, 8352/9544
1. What is the HCF of 8796,8352?
The HCF of 8796,8352 is 12
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 8796/753, 8352/9544?
Answer: GCF of Numerators as per given numbers 8796/753, 8352/9544 is
GCF of Numerators i.e. for 8796,8352 is 12
LCM of denominators i.e. for 753,9544 is 7186632.
Thus, GCF of Fractions is 12/7186632.Finally, GCF of Fractions for 8796/753, 8352/9544 is 12/7186632.