GCF of 3873/734, 8612/9380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3873/734, 8612/9380 i.e 1/3442460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3873/734, 8612/9380.
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 3873/734,8612/9380?
Given fractions are 3873/734,8612/9380
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 3873/734,8612/9380, numerators are 3873,8612
Denominators are 734,9380
The GCF of 3873,8612 is 1 .
LCM of 734,9380 is 3442460.
The greatest common factor of 3873/734,8612/9380 = [GCF of 3873,8612]/[LCM of 734,9380]= 1/3442460
Therefore, the GCF of 3873/734,8612/9380 is 1/3442460.
To find the highest common factor of 3873,8612, we have to find the factors of both numbers and list the highest common factor.
The factors of 3873 are 1, 3, 1291, 3873
The factors of 8612 are 1, 2, 4, 2153, 4306, 8612
The HCF of 3873,8612 is 1.
Lets's calculate GCF of 3873,8612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3873,8612 By Matching Biggest Common Factor Method
Now, list down the factors of 3873
:1,3,1291,3873
Now, list down the factors of 8612
:1,2,4,2153,4306,8612
Greatest Common Factor
We found the factors 3873,8612 . The biggest common factor number is the GCF number.
So the greatest common factor 3873,8612 is 1.
Lets's calculate LCM of 734,9380
| 2 | 734, 9380 |
| 367, 4690 |
∴ So the LCM of the given numbers is 2 x 367 x 4690 = 3442460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3442460
Therefore, the GCF of Fractions 3873/734,8612/9380 is 1/3442460
Least Common Multiple of 734,9380 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 734,9380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,9380) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,9380) x common factors =2 x 1 = 2
LCM(734,9380) = ( 734 × 9380 ) / 2
LCM(734,9380) = 6884920 / 2
LCM(734,9380) = 3442460
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FAQs on GCF of Fractions of 3873/734, 8612/9380
1. What is the HCF of 3873,8612?
The HCF of 3873,8612 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 3873/734, 8612/9380?
Answer: GCF of Numerators as per given numbers 3873/734, 8612/9380 is
GCF of Numerators i.e. for 3873,8612 is 1
LCM of denominators i.e. for 734,9380 is 3442460.
Thus, GCF of Fractions is 1/3442460.Finally, GCF of Fractions for 3873/734, 8612/9380 is 1/3442460.