GCF of 250/669, 9663/7041
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 250/669, 9663/7041 i.e 1/1570143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/669, 9663/7041.
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 250/669,9663/7041?
Given fractions are 250/669,9663/7041
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 250/669,9663/7041, numerators are 250,9663
Denominators are 669,7041
The GCF of 250,9663 is 1 .
LCM of 669,7041 is 1570143.
The greatest common factor of 250/669,9663/7041 = [GCF of 250,9663]/[LCM of 669,7041]= 1/1570143
Therefore, the GCF of 250/669,9663/7041 is 1/1570143.
To find the highest common factor of 250,9663, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The factors of 9663 are 1, 3, 3221, 9663
The HCF of 250,9663 is 1.
Lets's calculate GCF of 250,9663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 250,9663 By Matching Biggest Common Factor Method
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Now, list down the factors of 9663
:1,3,3221,9663
Greatest Common Factor
We found the factors 250,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 250,9663 is 1.
Lets's calculate LCM of 669,7041
| 3 | 669, 7041 |
| 223, 2347 |
∴ So the LCM of the given numbers is 3 x 223 x 2347 = 1570143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1570143
Therefore, the GCF of Fractions 250/669,9663/7041 is 1/1570143
Least Common Multiple of 669,7041 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 669,7041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,7041) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,7041) x common factors =3 x 1 = 3
LCM(669,7041) = ( 669 × 7041 ) / 3
LCM(669,7041) = 4710429 / 3
LCM(669,7041) = 1570143
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FAQs on GCF of Fractions of 250/669, 9663/7041
1. What is the HCF of 250,9663?
The HCF of 250,9663 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 250/669, 9663/7041?
Answer: GCF of Numerators as per given numbers 250/669, 9663/7041 is
GCF of Numerators i.e. for 250,9663 is 1
LCM of denominators i.e. for 669,7041 is 1570143.
Thus, GCF of Fractions is 1/1570143.Finally, GCF of Fractions for 250/669, 9663/7041 is 1/1570143.