GCF of 6221/615, 8600/7626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6221/615, 8600/7626 i.e 1/38130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6221/615, 8600/7626.
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 6221/615,8600/7626?
Given fractions are 6221/615,8600/7626
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 6221/615,8600/7626, numerators are 6221,8600
Denominators are 615,7626
The GCF of 6221,8600 is 1 .
LCM of 615,7626 is 38130.
The greatest common factor of 6221/615,8600/7626 = [GCF of 6221,8600]/[LCM of 615,7626]= 1/38130
Therefore, the GCF of 6221/615,8600/7626 is 1/38130.
To find the highest common factor of 6221,8600, we have to find the factors of both numbers and list the highest common factor.
The factors of 6221 are 1, 6221
The factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600
The HCF of 6221,8600 is 1.
Lets's calculate GCF of 6221,8600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6221,8600 By Matching Biggest Common Factor Method
Now, list down the factors of 6221
:1,6221
Now, list down the factors of 8600
:1,2,4,5,8,10,20,25,40,43,50,86,100,172,200,215,344,430,860,1075,1720,2150,4300,8600
Greatest Common Factor
We found the factors 6221,8600 . The biggest common factor number is the GCF number.
So the greatest common factor 6221,8600 is 1.
Lets's calculate LCM of 615,7626
| 3 | 615, 7626 |
| 41 | 205, 2542 |
| 5, 62 |
∴ So the LCM of the given numbers is 3 x 41 x 5 x 62 = 38130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38130
Therefore, the GCF of Fractions 6221/615,8600/7626 is 1/38130
Least Common Multiple of 615,7626 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 615,7626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,7626) = 123
common factors(in case of two or more numbers have common factors) = 1
GCF(615,7626) x common factors =123 x 1 = 123
LCM(615,7626) = ( 615 × 7626 ) / 123
LCM(615,7626) = 4689990 / 123
LCM(615,7626) = 38130
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FAQs on GCF of Fractions of 6221/615, 8600/7626
1. What is the HCF of 6221,8600?
The HCF of 6221,8600 is 1
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 6221/615, 8600/7626?
Answer: GCF of Numerators as per given numbers 6221/615, 8600/7626 is
GCF of Numerators i.e. for 6221,8600 is 1
LCM of denominators i.e. for 615,7626 is 38130.
Thus, GCF of Fractions is 1/38130.Finally, GCF of Fractions for 6221/615, 8600/7626 is 1/38130.