GCF of 650/114, 830/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 650/114, 830/516 i.e 10/9804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/114, 830/516.
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 650/114,830/516?
Given fractions are 650/114,830/516
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 650/114,830/516, numerators are 650,830
Denominators are 114,516
The GCF of 650,830 is 10 .
LCM of 114,516 is 9804.
The greatest common factor of 650/114,830/516 = [GCF of 650,830]/[LCM of 114,516]= 10/9804
Therefore, the GCF of 650/114,830/516 is 10/9804.
To find the highest common factor of 650,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 650,830 is 10.
Lets's calculate GCF of 650,830
| 2 | 650, 830 |
| 5 | 325, 415 |
| 65, 83 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 650,830 By Matching Biggest Common Factor Method
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 650,830 . The biggest common factor number is the GCF number.
So the greatest common factor 650,830 is 10.
Lets's calculate LCM of 114,516
| 2 | 114, 516 |
| 3 | 57, 258 |
| 19, 86 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 86 = 9804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/9804
Therefore, the GCF of Fractions 650/114,830/516 is 10/9804
Least Common Multiple of 114,516 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 114,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,516) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(114,516) x common factors =6 x 1 = 6
LCM(114,516) = ( 114 × 516 ) / 6
LCM(114,516) = 58824 / 6
LCM(114,516) = 9804
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FAQs on GCF of Fractions of 650/114, 830/516
1. What is the HCF of 650,830?
The HCF of 650,830 is 10
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 650/114, 830/516?
Answer: GCF of Numerators as per given numbers 650/114, 830/516 is
GCF of Numerators i.e. for 650,830 is 10
LCM of denominators i.e. for 114,516 is 9804.
Thus, GCF of Fractions is 10/9804.Finally, GCF of Fractions for 650/114, 830/516 is 10/9804.