GCF of 3093/897, 4260/9182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3093/897, 4260/9182 i.e 3/8236254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3093/897, 4260/9182.
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 3093/897,4260/9182?
Given fractions are 3093/897,4260/9182
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 3093/897,4260/9182, numerators are 3093,4260
Denominators are 897,9182
The GCF of 3093,4260 is 3 .
LCM of 897,9182 is 8236254.
The greatest common factor of 3093/897,4260/9182 = [GCF of 3093,4260]/[LCM of 897,9182]= 3/8236254
Therefore, the GCF of 3093/897,4260/9182 is 3/8236254.
To find the highest common factor of 3093,4260, we have to find the factors of both numbers and list the highest common factor.
The factors of 3093 are 1, 3, 1031, 3093
The factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260
The HCF of 3093,4260 is 3.
Lets's calculate GCF of 3093,4260
| 3 | 3093, 4260 |
| 1031, 1420 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3093,4260 By Matching Biggest Common Factor Method
Now, list down the factors of 3093
:1,3,1031,3093
Now, list down the factors of 4260
:1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260
Greatest Common Factor
We found the factors 3093,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 3093,4260 is 3.
Lets's calculate LCM of 897,9182
Given numbers has no common factors except 1. So, there LCM is their product i.e 8236254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8236254
Therefore, the GCF of Fractions 3093/897,4260/9182 is 3/8236254
Least Common Multiple of 897,9182 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 897,9182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,9182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,9182) x common factors =1 x 1 = 1
LCM(897,9182) = ( 897 × 9182 ) / 1
LCM(897,9182) = 8236254 / 1
LCM(897,9182) = 8236254
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FAQs on GCF of Fractions of 3093/897, 4260/9182
1. What is the HCF of 3093,4260?
The HCF of 3093,4260 is 3
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 3093/897, 4260/9182?
Answer: GCF of Numerators as per given numbers 3093/897, 4260/9182 is
GCF of Numerators i.e. for 3093,4260 is 3
LCM of denominators i.e. for 897,9182 is 8236254.
Thus, GCF of Fractions is 3/8236254.Finally, GCF of Fractions for 3093/897, 4260/9182 is 3/8236254.