GCF of 7345/537, 9153/8105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7345/537, 9153/8105 i.e 113/4352385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7345/537, 9153/8105.
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 7345/537,9153/8105?
Given fractions are 7345/537,9153/8105
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 7345/537,9153/8105, numerators are 7345,9153
Denominators are 537,8105
The GCF of 7345,9153 is 113 .
LCM of 537,8105 is 4352385.
The greatest common factor of 7345/537,9153/8105 = [GCF of 7345,9153]/[LCM of 537,8105]= 113/4352385
Therefore, the GCF of 7345/537,9153/8105 is 113/4352385.
To find the highest common factor of 7345,9153, we have to find the factors of both numbers and list the highest common factor.
The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345
The factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153
The HCF of 7345,9153 is 113.
Lets's calculate GCF of 7345,9153
| 113 | 7345, 9153 |
| 65, 81 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 7345,9153 By Matching Biggest Common Factor Method
Now, list down the factors of 7345
:1,5,13,65,113,565,1469,7345
Now, list down the factors of 9153
:1,3,9,27,81,113,339,1017,3051,9153
Greatest Common Factor
We found the factors 7345,9153 . The biggest common factor number is the GCF number.
So the greatest common factor 7345,9153 is 113.
Lets's calculate LCM of 537,8105
Given numbers has no common factors except 1. So, there LCM is their product i.e 4352385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/4352385
Therefore, the GCF of Fractions 7345/537,9153/8105 is 113/4352385
Least Common Multiple of 537,8105 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 537,8105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,8105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,8105) x common factors =1 x 1 = 1
LCM(537,8105) = ( 537 × 8105 ) / 1
LCM(537,8105) = 4352385 / 1
LCM(537,8105) = 4352385
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FAQs on GCF of Fractions of 7345/537, 9153/8105
1. What is the HCF of 7345,9153?
The HCF of 7345,9153 is 113
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 7345/537, 9153/8105?
Answer: GCF of Numerators as per given numbers 7345/537, 9153/8105 is
GCF of Numerators i.e. for 7345,9153 is 113
LCM of denominators i.e. for 537,8105 is 4352385.
Thus, GCF of Fractions is 113/4352385.Finally, GCF of Fractions for 7345/537, 9153/8105 is 113/4352385.