GCF of 8675/407, 1450/9926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8675/407, 1450/9926 i.e 25/4039882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8675/407, 1450/9926.
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 8675/407,1450/9926?
Given fractions are 8675/407,1450/9926
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 8675/407,1450/9926, numerators are 8675,1450
Denominators are 407,9926
The GCF of 8675,1450 is 25 .
LCM of 407,9926 is 4039882.
The greatest common factor of 8675/407,1450/9926 = [GCF of 8675,1450]/[LCM of 407,9926]= 25/4039882
Therefore, the GCF of 8675/407,1450/9926 is 25/4039882.
To find the highest common factor of 8675,1450, we have to find the factors of both numbers and list the highest common factor.
The factors of 8675 are 1, 5, 25, 347, 1735, 8675
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The HCF of 8675,1450 is 25.
Lets's calculate GCF of 8675,1450
| 5 | 8675, 1450 |
| 5 | 1735, 290 |
| 347, 58 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8675,1450 By Matching Biggest Common Factor Method
Now, list down the factors of 8675
:1,5,25,347,1735,8675
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Greatest Common Factor
We found the factors 8675,1450 . The biggest common factor number is the GCF number.
So the greatest common factor 8675,1450 is 25.
Lets's calculate LCM of 407,9926
Given numbers has no common factors except 1. So, there LCM is their product i.e 4039882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/4039882
Therefore, the GCF of Fractions 8675/407,1450/9926 is 25/4039882
Least Common Multiple of 407,9926 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 407,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,9926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,9926) x common factors =1 x 1 = 1
LCM(407,9926) = ( 407 × 9926 ) / 1
LCM(407,9926) = 4039882 / 1
LCM(407,9926) = 4039882
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FAQs on GCF of Fractions of 8675/407, 1450/9926
1. What is the HCF of 8675,1450?
The HCF of 8675,1450 is 25
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 8675/407, 1450/9926?
Answer: GCF of Numerators as per given numbers 8675/407, 1450/9926 is
GCF of Numerators i.e. for 8675,1450 is 25
LCM of denominators i.e. for 407,9926 is 4039882.
Thus, GCF of Fractions is 25/4039882.Finally, GCF of Fractions for 8675/407, 1450/9926 is 25/4039882.