GCF of 4832/966, 9910/8472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4832/966, 9910/8472 i.e 2/1363992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4832/966, 9910/8472.
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 4832/966,9910/8472?
Given fractions are 4832/966,9910/8472
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 4832/966,9910/8472, numerators are 4832,9910
Denominators are 966,8472
The GCF of 4832,9910 is 2 .
LCM of 966,8472 is 1363992.
The greatest common factor of 4832/966,9910/8472 = [GCF of 4832,9910]/[LCM of 966,8472]= 2/1363992
Therefore, the GCF of 4832/966,9910/8472 is 2/1363992.
To find the highest common factor of 4832,9910, we have to find the factors of both numbers and list the highest common factor.
The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832
The factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910
The HCF of 4832,9910 is 2.
Lets's calculate GCF of 4832,9910
| 2 | 4832, 9910 |
| 2416, 4955 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4832,9910 By Matching Biggest Common Factor Method
Now, list down the factors of 4832
:1,2,4,8,16,32,151,302,604,1208,2416,4832
Now, list down the factors of 9910
:1,2,5,10,991,1982,4955,9910
Greatest Common Factor
We found the factors 4832,9910 . The biggest common factor number is the GCF number.
So the greatest common factor 4832,9910 is 2.
Lets's calculate LCM of 966,8472
| 2 | 966, 8472 |
| 3 | 483, 4236 |
| 161, 1412 |
∴ So the LCM of the given numbers is 2 x 3 x 161 x 1412 = 1363992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1363992
Therefore, the GCF of Fractions 4832/966,9910/8472 is 2/1363992
Least Common Multiple of 966,8472 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 966,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,8472) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(966,8472) x common factors =6 x 1 = 6
LCM(966,8472) = ( 966 × 8472 ) / 6
LCM(966,8472) = 8183952 / 6
LCM(966,8472) = 1363992
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FAQs on GCF of Fractions of 4832/966, 9910/8472
1. What is the HCF of 4832,9910?
The HCF of 4832,9910 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 4832/966, 9910/8472?
Answer: GCF of Numerators as per given numbers 4832/966, 9910/8472 is
GCF of Numerators i.e. for 4832,9910 is 2
LCM of denominators i.e. for 966,8472 is 1363992.
Thus, GCF of Fractions is 2/1363992.Finally, GCF of Fractions for 4832/966, 9910/8472 is 2/1363992.