GCF of 2868/232, 4245/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2868/232, 4245/954 i.e 3/110664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2868/232, 4245/954.
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 2868/232,4245/954?
Given fractions are 2868/232,4245/954
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 2868/232,4245/954, numerators are 2868,4245
Denominators are 232,954
The GCF of 2868,4245 is 3 .
LCM of 232,954 is 110664.
The greatest common factor of 2868/232,4245/954 = [GCF of 2868,4245]/[LCM of 232,954]= 3/110664
Therefore, the GCF of 2868/232,4245/954 is 3/110664.
To find the highest common factor of 2868,4245, we have to find the factors of both numbers and list the highest common factor.
The factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868
The factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245
The HCF of 2868,4245 is 3.
Lets's calculate GCF of 2868,4245
| 3 | 2868, 4245 |
| 956, 1415 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2868,4245 By Matching Biggest Common Factor Method
Now, list down the factors of 2868
:1,2,3,4,6,12,239,478,717,956,1434,2868
Now, list down the factors of 4245
:1,3,5,15,283,849,1415,4245
Greatest Common Factor
We found the factors 2868,4245 . The biggest common factor number is the GCF number.
So the greatest common factor 2868,4245 is 3.
Lets's calculate LCM of 232,954
| 2 | 232, 954 |
| 116, 477 |
∴ So the LCM of the given numbers is 2 x 116 x 477 = 110664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/110664
Therefore, the GCF of Fractions 2868/232,4245/954 is 3/110664
Least Common Multiple of 232,954 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 232,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(232,954) x common factors =2 x 1 = 2
LCM(232,954) = ( 232 × 954 ) / 2
LCM(232,954) = 221328 / 2
LCM(232,954) = 110664
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FAQs on GCF of Fractions of 2868/232, 4245/954
1. What is the HCF of 2868,4245?
The HCF of 2868,4245 is 3
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 2868/232, 4245/954?
Answer: GCF of Numerators as per given numbers 2868/232, 4245/954 is
GCF of Numerators i.e. for 2868,4245 is 3
LCM of denominators i.e. for 232,954 is 110664.
Thus, GCF of Fractions is 3/110664.Finally, GCF of Fractions for 2868/232, 4245/954 is 3/110664.