GCF of 9016/711, 2829/6580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9016/711, 2829/6580 i.e 23/4678380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9016/711, 2829/6580.
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 9016/711,2829/6580?
Given fractions are 9016/711,2829/6580
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 9016/711,2829/6580, numerators are 9016,2829
Denominators are 711,6580
The GCF of 9016,2829 is 23 .
LCM of 711,6580 is 4678380.
The greatest common factor of 9016/711,2829/6580 = [GCF of 9016,2829]/[LCM of 711,6580]= 23/4678380
Therefore, the GCF of 9016/711,2829/6580 is 23/4678380.
To find the highest common factor of 9016,2829, we have to find the factors of both numbers and list the highest common factor.
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829
The HCF of 9016,2829 is 23.
Lets's calculate GCF of 9016,2829
| 23 | 9016, 2829 |
| 392, 123 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9016,2829 By Matching Biggest Common Factor Method
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Now, list down the factors of 2829
:1,3,23,41,69,123,943,2829
Greatest Common Factor
We found the factors 9016,2829 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,2829 is 23.
Lets's calculate LCM of 711,6580
Given numbers has no common factors except 1. So, there LCM is their product i.e 4678380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4678380
Therefore, the GCF of Fractions 9016/711,2829/6580 is 23/4678380
Least Common Multiple of 711,6580 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 711,6580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,6580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,6580) x common factors =1 x 1 = 1
LCM(711,6580) = ( 711 × 6580 ) / 1
LCM(711,6580) = 4678380 / 1
LCM(711,6580) = 4678380
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FAQs on GCF of Fractions of 9016/711, 2829/6580
1. What is the HCF of 9016,2829?
The HCF of 9016,2829 is 23
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 9016/711, 2829/6580?
Answer: GCF of Numerators as per given numbers 9016/711, 2829/6580 is
GCF of Numerators i.e. for 9016,2829 is 23
LCM of denominators i.e. for 711,6580 is 4678380.
Thus, GCF of Fractions is 23/4678380.Finally, GCF of Fractions for 9016/711, 2829/6580 is 23/4678380.