GCF of 7357/284, 9944/4272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7357/284, 9944/4272 i.e 1/303312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7357/284, 9944/4272.
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 7357/284,9944/4272?
Given fractions are 7357/284,9944/4272
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 7357/284,9944/4272, numerators are 7357,9944
Denominators are 284,4272
The GCF of 7357,9944 is 1 .
LCM of 284,4272 is 303312.
The greatest common factor of 7357/284,9944/4272 = [GCF of 7357,9944]/[LCM of 284,4272]= 1/303312
Therefore, the GCF of 7357/284,9944/4272 is 1/303312.
To find the highest common factor of 7357,9944, we have to find the factors of both numbers and list the highest common factor.
The factors of 7357 are 1, 7, 1051, 7357
The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944
The HCF of 7357,9944 is 1.
Lets's calculate GCF of 7357,9944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7357,9944 By Matching Biggest Common Factor Method
Now, list down the factors of 7357
:1,7,1051,7357
Now, list down the factors of 9944
:1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944
Greatest Common Factor
We found the factors 7357,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 7357,9944 is 1.
Lets's calculate LCM of 284,4272
| 2 | 284, 4272 |
| 2 | 142, 2136 |
| 71, 1068 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 1068 = 303312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303312
Therefore, the GCF of Fractions 7357/284,9944/4272 is 1/303312
Least Common Multiple of 284,4272 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 284,4272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,4272) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,4272) x common factors =4 x 1 = 4
LCM(284,4272) = ( 284 × 4272 ) / 4
LCM(284,4272) = 1213248 / 4
LCM(284,4272) = 303312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7357/284, 9944/4272
1. What is the HCF of 7357,9944?
The HCF of 7357,9944 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 7357/284, 9944/4272?
Answer: GCF of Numerators as per given numbers 7357/284, 9944/4272 is
GCF of Numerators i.e. for 7357,9944 is 1
LCM of denominators i.e. for 284,4272 is 303312.
Thus, GCF of Fractions is 1/303312.Finally, GCF of Fractions for 7357/284, 9944/4272 is 1/303312.