GCF of 7421/160, 1312/2381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7421/160, 1312/2381 i.e 41/380960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/160, 1312/2381.
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 7421/160,1312/2381?
Given fractions are 7421/160,1312/2381
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 7421/160,1312/2381, numerators are 7421,1312
Denominators are 160,2381
The GCF of 7421,1312 is 41 .
LCM of 160,2381 is 380960.
The greatest common factor of 7421/160,1312/2381 = [GCF of 7421,1312]/[LCM of 160,2381]= 41/380960
Therefore, the GCF of 7421/160,1312/2381 is 41/380960.
To find the highest common factor of 7421,1312, we have to find the factors of both numbers and list the highest common factor.
The factors of 7421 are 1, 41, 181, 7421
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The HCF of 7421,1312 is 41.
Lets's calculate GCF of 7421,1312
| 41 | 7421, 1312 |
| 181, 32 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 7421,1312 By Matching Biggest Common Factor Method
Now, list down the factors of 7421
:1,41,181,7421
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Greatest Common Factor
We found the factors 7421,1312 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,1312 is 41.
Lets's calculate LCM of 160,2381
Given numbers has no common factors except 1. So, there LCM is their product i.e 380960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/380960
Therefore, the GCF of Fractions 7421/160,1312/2381 is 41/380960
Least Common Multiple of 160,2381 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 160,2381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,2381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,2381) x common factors =1 x 1 = 1
LCM(160,2381) = ( 160 × 2381 ) / 1
LCM(160,2381) = 380960 / 1
LCM(160,2381) = 380960
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FAQs on GCF of Fractions of 7421/160, 1312/2381
1. What is the HCF of 7421,1312?
The HCF of 7421,1312 is 41
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 7421/160, 1312/2381?
Answer: GCF of Numerators as per given numbers 7421/160, 1312/2381 is
GCF of Numerators i.e. for 7421,1312 is 41
LCM of denominators i.e. for 160,2381 is 380960.
Thus, GCF of Fractions is 41/380960.Finally, GCF of Fractions for 7421/160, 1312/2381 is 41/380960.