GCF of 8645/828, 2079/1208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8645/828, 2079/1208 i.e 7/250056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8645/828, 2079/1208.
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 8645/828,2079/1208?
Given fractions are 8645/828,2079/1208
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 8645/828,2079/1208, numerators are 8645,2079
Denominators are 828,1208
The GCF of 8645,2079 is 7 .
LCM of 828,1208 is 250056.
The greatest common factor of 8645/828,2079/1208 = [GCF of 8645,2079]/[LCM of 828,1208]= 7/250056
Therefore, the GCF of 8645/828,2079/1208 is 7/250056.
To find the highest common factor of 8645,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 8645,2079 is 7.
Lets's calculate GCF of 8645,2079
| 7 | 8645, 2079 |
| 1235, 297 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8645,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 8645
:1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 8645,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 8645,2079 is 7.
Lets's calculate LCM of 828,1208
| 2 | 828, 1208 |
| 2 | 414, 604 |
| 207, 302 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 302 = 250056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/250056
Therefore, the GCF of Fractions 8645/828,2079/1208 is 7/250056
Least Common Multiple of 828,1208 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 828,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,1208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,1208) x common factors =4 x 1 = 4
LCM(828,1208) = ( 828 × 1208 ) / 4
LCM(828,1208) = 1000224 / 4
LCM(828,1208) = 250056
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FAQs on GCF of Fractions of 8645/828, 2079/1208
1. What is the HCF of 8645,2079?
The HCF of 8645,2079 is 7
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 8645/828, 2079/1208?
Answer: GCF of Numerators as per given numbers 8645/828, 2079/1208 is
GCF of Numerators i.e. for 8645,2079 is 7
LCM of denominators i.e. for 828,1208 is 250056.
Thus, GCF of Fractions is 7/250056.Finally, GCF of Fractions for 8645/828, 2079/1208 is 7/250056.