GCF of 862/43, 198/16, 516/65
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/43, 198/16, 516/65 i.e 2/44720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/43, 198/16, 516/65.
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 862/43,198/16,516/65?
Given fractions are 862/43,198/16,516/65
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 862/43,198/16,516/65, numerators are 862,198,516
Denominators are 43,16,65
The GCF of 862,198,516 is 2 .
LCM of 43,16,65 is 44720.
The greatest common factor of 862/43,198/16,516/65 = [GCF of 862,198,516]/[LCM of 43,16,65]= 2/44720
Therefore, the GCF of 862/43,198/16,516/65 is 2/44720.
To find the highest common factor of 862,198,516, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The HCF of 862,198,516 is 2.
Lets's calculate GCF of 862,198,516
| 2 | 862, 198, 516 |
| 431, 99, 258 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,198,516 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 862,198,516 . The biggest common factor number is the GCF number.
So the greatest common factor 862,198,516 is 2.
Lets's calculate LCM of 43,16,65
Given numbers has no common factors except 1. So, there LCM is their product i.e 44720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44720
Therefore, the GCF of Fractions 862/43,198/16,516/65 is 2/44720
Least Common Multiple of 43,16,65 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 43,16,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,16,65) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,16,65) x common factors =1 x 1 = 1
LCM(43,16,65) = ( 43 × 16 × 65 ) / 1
LCM(43,16,65) = 44720 / 1
LCM(43,16,65) = 44720
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FAQs on GCF of Fractions of 862/43, 198/16, 516/65
1. What is the HCF of 862,198,516?
The HCF of 862,198,516 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 862/43, 198/16, 516/65?
Answer: GCF of Numerators as per given numbers 862/43, 198/16, 516/65 is
GCF of Numerators i.e. for 862,198,516 is 2
LCM of denominators i.e. for 43,16,65 is 44720.
Thus, GCF of Fractions is 2/44720.Finally, GCF of Fractions for 862/43, 198/16, 516/65 is 2/44720.