GCF of 3793/354, 9078/4120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3793/354, 9078/4120 i.e 1/729240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3793/354, 9078/4120.
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 3793/354,9078/4120?
Given fractions are 3793/354,9078/4120
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 3793/354,9078/4120, numerators are 3793,9078
Denominators are 354,4120
The GCF of 3793,9078 is 1 .
LCM of 354,4120 is 729240.
The greatest common factor of 3793/354,9078/4120 = [GCF of 3793,9078]/[LCM of 354,4120]= 1/729240
Therefore, the GCF of 3793/354,9078/4120 is 1/729240.
To find the highest common factor of 3793,9078, we have to find the factors of both numbers and list the highest common factor.
The factors of 3793 are 1, 3793
The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
The HCF of 3793,9078 is 1.
Lets's calculate GCF of 3793,9078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3793,9078 By Matching Biggest Common Factor Method
Now, list down the factors of 3793
:1,3793
Now, list down the factors of 9078
:1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Greatest Common Factor
We found the factors 3793,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 3793,9078 is 1.
Lets's calculate LCM of 354,4120
| 2 | 354, 4120 |
| 177, 2060 |
∴ So the LCM of the given numbers is 2 x 177 x 2060 = 729240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729240
Therefore, the GCF of Fractions 3793/354,9078/4120 is 1/729240
Least Common Multiple of 354,4120 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 354,4120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,4120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,4120) x common factors =2 x 1 = 2
LCM(354,4120) = ( 354 × 4120 ) / 2
LCM(354,4120) = 1458480 / 2
LCM(354,4120) = 729240
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FAQs on GCF of Fractions of 3793/354, 9078/4120
1. What is the HCF of 3793,9078?
The HCF of 3793,9078 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 3793/354, 9078/4120?
Answer: GCF of Numerators as per given numbers 3793/354, 9078/4120 is
GCF of Numerators i.e. for 3793,9078 is 1
LCM of denominators i.e. for 354,4120 is 729240.
Thus, GCF of Fractions is 1/729240.Finally, GCF of Fractions for 3793/354, 9078/4120 is 1/729240.