GCF of 9022/722, 6345/1188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9022/722, 6345/1188 i.e 1/428868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9022/722, 6345/1188.
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 9022/722,6345/1188?
Given fractions are 9022/722,6345/1188
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 9022/722,6345/1188, numerators are 9022,6345
Denominators are 722,1188
The GCF of 9022,6345 is 1 .
LCM of 722,1188 is 428868.
The greatest common factor of 9022/722,6345/1188 = [GCF of 9022,6345]/[LCM of 722,1188]= 1/428868
Therefore, the GCF of 9022/722,6345/1188 is 1/428868.
To find the highest common factor of 9022,6345, we have to find the factors of both numbers and list the highest common factor.
The factors of 9022 are 1, 2, 13, 26, 347, 694, 4511, 9022
The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The HCF of 9022,6345 is 1.
Lets's calculate GCF of 9022,6345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9022,6345 By Matching Biggest Common Factor Method
Now, list down the factors of 9022
:1,2,13,26,347,694,4511,9022
Now, list down the factors of 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 9022,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 9022,6345 is 1.
Lets's calculate LCM of 722,1188
| 2 | 722, 1188 |
| 361, 594 |
∴ So the LCM of the given numbers is 2 x 361 x 594 = 428868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428868
Therefore, the GCF of Fractions 9022/722,6345/1188 is 1/428868
Least Common Multiple of 722,1188 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 722,1188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,1188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,1188) x common factors =2 x 1 = 2
LCM(722,1188) = ( 722 × 1188 ) / 2
LCM(722,1188) = 857736 / 2
LCM(722,1188) = 428868
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9022/722, 6345/1188
1. What is the HCF of 9022,6345?
The HCF of 9022,6345 is 1
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 9022/722, 6345/1188?
Answer: GCF of Numerators as per given numbers 9022/722, 6345/1188 is
GCF of Numerators i.e. for 9022,6345 is 1
LCM of denominators i.e. for 722,1188 is 428868.
Thus, GCF of Fractions is 1/428868.Finally, GCF of Fractions for 9022/722, 6345/1188 is 1/428868.