GCF of 6610/624, 1000/5321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6610/624, 1000/5321 i.e 10/3320304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6610/624, 1000/5321.
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 6610/624,1000/5321?
Given fractions are 6610/624,1000/5321
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 6610/624,1000/5321, numerators are 6610,1000
Denominators are 624,5321
The GCF of 6610,1000 is 10 .
LCM of 624,5321 is 3320304.
The greatest common factor of 6610/624,1000/5321 = [GCF of 6610,1000]/[LCM of 624,5321]= 10/3320304
Therefore, the GCF of 6610/624,1000/5321 is 10/3320304.
To find the highest common factor of 6610,1000, we have to find the factors of both numbers and list the highest common factor.
The factors of 6610 are 1, 2, 5, 10, 661, 1322, 3305, 6610
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The HCF of 6610,1000 is 10.
Lets's calculate GCF of 6610,1000
| 2 | 6610, 1000 |
| 5 | 3305, 500 |
| 661, 100 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6610,1000 By Matching Biggest Common Factor Method
Now, list down the factors of 6610
:1,2,5,10,661,1322,3305,6610
Now, list down the factors of 1000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Greatest Common Factor
We found the factors 6610,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 6610,1000 is 10.
Lets's calculate LCM of 624,5321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3320304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3320304
Therefore, the GCF of Fractions 6610/624,1000/5321 is 10/3320304
Least Common Multiple of 624,5321 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 624,5321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5321) x common factors =1 x 1 = 1
LCM(624,5321) = ( 624 × 5321 ) / 1
LCM(624,5321) = 3320304 / 1
LCM(624,5321) = 3320304
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FAQs on GCF of Fractions of 6610/624, 1000/5321
1. What is the HCF of 6610,1000?
The HCF of 6610,1000 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 6610/624, 1000/5321?
Answer: GCF of Numerators as per given numbers 6610/624, 1000/5321 is
GCF of Numerators i.e. for 6610,1000 is 10
LCM of denominators i.e. for 624,5321 is 3320304.
Thus, GCF of Fractions is 10/3320304.Finally, GCF of Fractions for 6610/624, 1000/5321 is 10/3320304.