GCF of 9374/643, 1296/5022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9374/643, 1296/5022 i.e 2/3229146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9374/643, 1296/5022.
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 9374/643,1296/5022?
Given fractions are 9374/643,1296/5022
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 9374/643,1296/5022, numerators are 9374,1296
Denominators are 643,5022
The GCF of 9374,1296 is 2 .
LCM of 643,5022 is 3229146.
The greatest common factor of 9374/643,1296/5022 = [GCF of 9374,1296]/[LCM of 643,5022]= 2/3229146
Therefore, the GCF of 9374/643,1296/5022 is 2/3229146.
To find the highest common factor of 9374,1296, we have to find the factors of both numbers and list the highest common factor.
The factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374
The factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296
The HCF of 9374,1296 is 2.
Lets's calculate GCF of 9374,1296
| 2 | 9374, 1296 |
| 4687, 648 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9374,1296 By Matching Biggest Common Factor Method
Now, list down the factors of 9374
:1,2,43,86,109,218,4687,9374
Now, list down the factors of 1296
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Greatest Common Factor
We found the factors 9374,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 9374,1296 is 2.
Lets's calculate LCM of 643,5022
Given numbers has no common factors except 1. So, there LCM is their product i.e 3229146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3229146
Therefore, the GCF of Fractions 9374/643,1296/5022 is 2/3229146
Least Common Multiple of 643,5022 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 643,5022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,5022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,5022) x common factors =1 x 1 = 1
LCM(643,5022) = ( 643 × 5022 ) / 1
LCM(643,5022) = 3229146 / 1
LCM(643,5022) = 3229146
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FAQs on GCF of Fractions of 9374/643, 1296/5022
1. What is the HCF of 9374,1296?
The HCF of 9374,1296 is 2
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 9374/643, 1296/5022?
Answer: GCF of Numerators as per given numbers 9374/643, 1296/5022 is
GCF of Numerators i.e. for 9374,1296 is 2
LCM of denominators i.e. for 643,5022 is 3229146.
Thus, GCF of Fractions is 2/3229146.Finally, GCF of Fractions for 9374/643, 1296/5022 is 2/3229146.