GCF of 6585/99, 4400/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6585/99, 4400/746 i.e 5/73854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6585/99, 4400/746.
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 6585/99,4400/746?
Given fractions are 6585/99,4400/746
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 6585/99,4400/746, numerators are 6585,4400
Denominators are 99,746
The GCF of 6585,4400 is 5 .
LCM of 99,746 is 73854.
The greatest common factor of 6585/99,4400/746 = [GCF of 6585,4400]/[LCM of 99,746]= 5/73854
Therefore, the GCF of 6585/99,4400/746 is 5/73854.
To find the highest common factor of 6585,4400, we have to find the factors of both numbers and list the highest common factor.
The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The HCF of 6585,4400 is 5.
Lets's calculate GCF of 6585,4400
| 5 | 6585, 4400 |
| 1317, 880 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6585,4400 By Matching Biggest Common Factor Method
Now, list down the factors of 6585
:1,3,5,15,439,1317,2195,6585
Now, list down the factors of 4400
:1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Greatest Common Factor
We found the factors 6585,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 6585,4400 is 5.
Lets's calculate LCM of 99,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 73854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73854
Therefore, the GCF of Fractions 6585/99,4400/746 is 5/73854
Least Common Multiple of 99,746 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 99,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,746) x common factors =1 x 1 = 1
LCM(99,746) = ( 99 × 746 ) / 1
LCM(99,746) = 73854 / 1
LCM(99,746) = 73854
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FAQs on GCF of Fractions of 6585/99, 4400/746
1. What is the HCF of 6585,4400?
The HCF of 6585,4400 is 5
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 6585/99, 4400/746?
Answer: GCF of Numerators as per given numbers 6585/99, 4400/746 is
GCF of Numerators i.e. for 6585,4400 is 5
LCM of denominators i.e. for 99,746 is 73854.
Thus, GCF of Fractions is 5/73854.Finally, GCF of Fractions for 6585/99, 4400/746 is 5/73854.