GCF of 8322/727, 1302/8252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8322/727, 1302/8252 i.e 6/5999204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8322/727, 1302/8252.
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 8322/727,1302/8252?
Given fractions are 8322/727,1302/8252
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 8322/727,1302/8252, numerators are 8322,1302
Denominators are 727,8252
The GCF of 8322,1302 is 6 .
LCM of 727,8252 is 5999204.
The greatest common factor of 8322/727,1302/8252 = [GCF of 8322,1302]/[LCM of 727,8252]= 6/5999204
Therefore, the GCF of 8322/727,1302/8252 is 6/5999204.
To find the highest common factor of 8322,1302, we have to find the factors of both numbers and list the highest common factor.
The factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
The HCF of 8322,1302 is 6.
Lets's calculate GCF of 8322,1302
| 2 | 8322, 1302 |
| 3 | 4161, 651 |
| 1387, 217 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8322,1302 By Matching Biggest Common Factor Method
Now, list down the factors of 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Now, list down the factors of 1302
:1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302
Greatest Common Factor
We found the factors 8322,1302 . The biggest common factor number is the GCF number.
So the greatest common factor 8322,1302 is 6.
Lets's calculate LCM of 727,8252
Given numbers has no common factors except 1. So, there LCM is their product i.e 5999204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5999204
Therefore, the GCF of Fractions 8322/727,1302/8252 is 6/5999204
Least Common Multiple of 727,8252 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 727,8252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,8252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,8252) x common factors =1 x 1 = 1
LCM(727,8252) = ( 727 × 8252 ) / 1
LCM(727,8252) = 5999204 / 1
LCM(727,8252) = 5999204
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FAQs on GCF of Fractions of 8322/727, 1302/8252
1. What is the HCF of 8322,1302?
The HCF of 8322,1302 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 8322/727, 1302/8252?
Answer: GCF of Numerators as per given numbers 8322/727, 1302/8252 is
GCF of Numerators i.e. for 8322,1302 is 6
LCM of denominators i.e. for 727,8252 is 5999204.
Thus, GCF of Fractions is 6/5999204.Finally, GCF of Fractions for 8322/727, 1302/8252 is 6/5999204.