GCF of 7841/598, 3852/8340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7841/598, 3852/8340 i.e 1/2493660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7841/598, 3852/8340.
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 7841/598,3852/8340?
Given fractions are 7841/598,3852/8340
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 7841/598,3852/8340, numerators are 7841,3852
Denominators are 598,8340
The GCF of 7841,3852 is 1 .
LCM of 598,8340 is 2493660.
The greatest common factor of 7841/598,3852/8340 = [GCF of 7841,3852]/[LCM of 598,8340]= 1/2493660
Therefore, the GCF of 7841/598,3852/8340 is 1/2493660.
To find the highest common factor of 7841,3852, we have to find the factors of both numbers and list the highest common factor.
The factors of 7841 are 1, 7841
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The HCF of 7841,3852 is 1.
Lets's calculate GCF of 7841,3852
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7841,3852 By Matching Biggest Common Factor Method
Now, list down the factors of 7841
:1,7841
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 7841,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 7841,3852 is 1.
Lets's calculate LCM of 598,8340
| 2 | 598, 8340 |
| 299, 4170 |
∴ So the LCM of the given numbers is 2 x 299 x 4170 = 2493660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2493660
Therefore, the GCF of Fractions 7841/598,3852/8340 is 1/2493660
Least Common Multiple of 598,8340 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 598,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,8340) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,8340) x common factors =2 x 1 = 2
LCM(598,8340) = ( 598 × 8340 ) / 2
LCM(598,8340) = 4987320 / 2
LCM(598,8340) = 2493660
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FAQs on GCF of Fractions of 7841/598, 3852/8340
1. What is the HCF of 7841,3852?
The HCF of 7841,3852 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 7841/598, 3852/8340?
Answer: GCF of Numerators as per given numbers 7841/598, 3852/8340 is
GCF of Numerators i.e. for 7841,3852 is 1
LCM of denominators i.e. for 598,8340 is 2493660.
Thus, GCF of Fractions is 1/2493660.Finally, GCF of Fractions for 7841/598, 3852/8340 is 1/2493660.