GCF of 8669/638, 3981/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8669/638, 3981/708 i.e 1/225852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8669/638, 3981/708.
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 8669/638,3981/708?
Given fractions are 8669/638,3981/708
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 8669/638,3981/708, numerators are 8669,3981
Denominators are 638,708
The GCF of 8669,3981 is 1 .
LCM of 638,708 is 225852.
The greatest common factor of 8669/638,3981/708 = [GCF of 8669,3981]/[LCM of 638,708]= 1/225852
Therefore, the GCF of 8669/638,3981/708 is 1/225852.
To find the highest common factor of 8669,3981, we have to find the factors of both numbers and list the highest common factor.
The factors of 8669 are 1, 8669
The factors of 3981 are 1, 3, 1327, 3981
The HCF of 8669,3981 is 1.
Lets's calculate GCF of 8669,3981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8669,3981 By Matching Biggest Common Factor Method
Now, list down the factors of 8669
:1,8669
Now, list down the factors of 3981
:1,3,1327,3981
Greatest Common Factor
We found the factors 8669,3981 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,3981 is 1.
Lets's calculate LCM of 638,708
| 2 | 638, 708 |
| 319, 354 |
∴ So the LCM of the given numbers is 2 x 319 x 354 = 225852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225852
Therefore, the GCF of Fractions 8669/638,3981/708 is 1/225852
Least Common Multiple of 638,708 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 638,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,708) x common factors =2 x 1 = 2
LCM(638,708) = ( 638 × 708 ) / 2
LCM(638,708) = 451704 / 2
LCM(638,708) = 225852
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FAQs on GCF of Fractions of 8669/638, 3981/708
1. What is the HCF of 8669,3981?
The HCF of 8669,3981 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 8669/638, 3981/708?
Answer: GCF of Numerators as per given numbers 8669/638, 3981/708 is
GCF of Numerators i.e. for 8669,3981 is 1
LCM of denominators i.e. for 638,708 is 225852.
Thus, GCF of Fractions is 1/225852.Finally, GCF of Fractions for 8669/638, 3981/708 is 1/225852.