GCF of 8232/769, 6760/1096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8232/769, 6760/1096 i.e 8/842824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8232/769, 6760/1096.
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 8232/769,6760/1096?
Given fractions are 8232/769,6760/1096
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 8232/769,6760/1096, numerators are 8232,6760
Denominators are 769,1096
The GCF of 8232,6760 is 8 .
LCM of 769,1096 is 842824.
The greatest common factor of 8232/769,6760/1096 = [GCF of 8232,6760]/[LCM of 769,1096]= 8/842824
Therefore, the GCF of 8232/769,6760/1096 is 8/842824.
To find the highest common factor of 8232,6760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232
The factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760
The HCF of 8232,6760 is 8.
Lets's calculate GCF of 8232,6760
| 2 | 8232, 6760 |
| 2 | 4116, 3380 |
| 2 | 2058, 1690 |
| 1029, 845 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8232,6760 By Matching Biggest Common Factor Method
Now, list down the factors of 8232
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Now, list down the factors of 6760
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760
Greatest Common Factor
We found the factors 8232,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 8232,6760 is 8.
Lets's calculate LCM of 769,1096
Given numbers has no common factors except 1. So, there LCM is their product i.e 842824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/842824
Therefore, the GCF of Fractions 8232/769,6760/1096 is 8/842824
Least Common Multiple of 769,1096 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 769,1096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,1096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,1096) x common factors =1 x 1 = 1
LCM(769,1096) = ( 769 × 1096 ) / 1
LCM(769,1096) = 842824 / 1
LCM(769,1096) = 842824
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8232/769, 6760/1096
1. What is the HCF of 8232,6760?
The HCF of 8232,6760 is 8
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 8232/769, 6760/1096?
Answer: GCF of Numerators as per given numbers 8232/769, 6760/1096 is
GCF of Numerators i.e. for 8232,6760 is 8
LCM of denominators i.e. for 769,1096 is 842824.
Thus, GCF of Fractions is 8/842824.Finally, GCF of Fractions for 8232/769, 6760/1096 is 8/842824.