GCF of 9641/140, 3846/7396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9641/140, 3846/7396 i.e 1/258860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9641/140, 3846/7396.
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 9641/140,3846/7396?
Given fractions are 9641/140,3846/7396
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 9641/140,3846/7396, numerators are 9641,3846
Denominators are 140,7396
The GCF of 9641,3846 is 1 .
LCM of 140,7396 is 258860.
The greatest common factor of 9641/140,3846/7396 = [GCF of 9641,3846]/[LCM of 140,7396]= 1/258860
Therefore, the GCF of 9641/140,3846/7396 is 1/258860.
To find the highest common factor of 9641,3846, we have to find the factors of both numbers and list the highest common factor.
The factors of 9641 are 1, 31, 311, 9641
The factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846
The HCF of 9641,3846 is 1.
Lets's calculate GCF of 9641,3846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9641,3846 By Matching Biggest Common Factor Method
Now, list down the factors of 9641
:1,31,311,9641
Now, list down the factors of 3846
:1,2,3,6,641,1282,1923,3846
Greatest Common Factor
We found the factors 9641,3846 . The biggest common factor number is the GCF number.
So the greatest common factor 9641,3846 is 1.
Lets's calculate LCM of 140,7396
| 2 | 140, 7396 |
| 2 | 70, 3698 |
| 35, 1849 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 1849 = 258860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258860
Therefore, the GCF of Fractions 9641/140,3846/7396 is 1/258860
Least Common Multiple of 140,7396 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 140,7396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,7396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(140,7396) x common factors =4 x 1 = 4
LCM(140,7396) = ( 140 × 7396 ) / 4
LCM(140,7396) = 1035440 / 4
LCM(140,7396) = 258860
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FAQs on GCF of Fractions of 9641/140, 3846/7396
1. What is the HCF of 9641,3846?
The HCF of 9641,3846 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 9641/140, 3846/7396?
Answer: GCF of Numerators as per given numbers 9641/140, 3846/7396 is
GCF of Numerators i.e. for 9641,3846 is 1
LCM of denominators i.e. for 140,7396 is 258860.
Thus, GCF of Fractions is 1/258860.Finally, GCF of Fractions for 9641/140, 3846/7396 is 1/258860.