GCF of 2916/432, 4961/8646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2916/432, 4961/8646 i.e 1/622512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2916/432, 4961/8646.
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 2916/432,4961/8646?
Given fractions are 2916/432,4961/8646
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 2916/432,4961/8646, numerators are 2916,4961
Denominators are 432,8646
The GCF of 2916,4961 is 1 .
LCM of 432,8646 is 622512.
The greatest common factor of 2916/432,4961/8646 = [GCF of 2916,4961]/[LCM of 432,8646]= 1/622512
Therefore, the GCF of 2916/432,4961/8646 is 1/622512.
To find the highest common factor of 2916,4961, we have to find the factors of both numbers and list the highest common factor.
The factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916
The factors of 4961 are 1, 11, 41, 121, 451, 4961
The HCF of 2916,4961 is 1.
Lets's calculate GCF of 2916,4961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2916,4961 By Matching Biggest Common Factor Method
Now, list down the factors of 2916
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916
Now, list down the factors of 4961
:1,11,41,121,451,4961
Greatest Common Factor
We found the factors 2916,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 2916,4961 is 1.
Lets's calculate LCM of 432,8646
| 2 | 432, 8646 |
| 3 | 216, 4323 |
| 72, 1441 |
∴ So the LCM of the given numbers is 2 x 3 x 72 x 1441 = 622512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622512
Therefore, the GCF of Fractions 2916/432,4961/8646 is 1/622512
Least Common Multiple of 432,8646 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 432,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,8646) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(432,8646) x common factors =6 x 1 = 6
LCM(432,8646) = ( 432 × 8646 ) / 6
LCM(432,8646) = 3735072 / 6
LCM(432,8646) = 622512
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FAQs on GCF of Fractions of 2916/432, 4961/8646
1. What is the HCF of 2916,4961?
The HCF of 2916,4961 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 2916/432, 4961/8646?
Answer: GCF of Numerators as per given numbers 2916/432, 4961/8646 is
GCF of Numerators i.e. for 2916,4961 is 1
LCM of denominators i.e. for 432,8646 is 622512.
Thus, GCF of Fractions is 1/622512.Finally, GCF of Fractions for 2916/432, 4961/8646 is 1/622512.