GCF of 430/867, 3989/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/867, 3989/207 i.e 1/59823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/867, 3989/207.
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 430/867,3989/207?
Given fractions are 430/867,3989/207
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 430/867,3989/207, numerators are 430,3989
Denominators are 867,207
The GCF of 430,3989 is 1 .
LCM of 867,207 is 59823.
The greatest common factor of 430/867,3989/207 = [GCF of 430,3989]/[LCM of 867,207]= 1/59823
Therefore, the GCF of 430/867,3989/207 is 1/59823.
To find the highest common factor of 430,3989, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 3989 are 1, 3989
The HCF of 430,3989 is 1.
Lets's calculate GCF of 430,3989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 430,3989 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 3989
:1,3989
Greatest Common Factor
We found the factors 430,3989 . The biggest common factor number is the GCF number.
So the greatest common factor 430,3989 is 1.
Lets's calculate LCM of 867,207
| 3 | 867, 207 |
| 289, 69 |
∴ So the LCM of the given numbers is 3 x 289 x 69 = 59823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59823
Therefore, the GCF of Fractions 430/867,3989/207 is 1/59823
Least Common Multiple of 867,207 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 867,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,207) x common factors =3 x 1 = 3
LCM(867,207) = ( 867 × 207 ) / 3
LCM(867,207) = 179469 / 3
LCM(867,207) = 59823
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FAQs on GCF of Fractions of 430/867, 3989/207
1. What is the HCF of 430,3989?
The HCF of 430,3989 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 430/867, 3989/207?
Answer: GCF of Numerators as per given numbers 430/867, 3989/207 is
GCF of Numerators i.e. for 430,3989 is 1
LCM of denominators i.e. for 867,207 is 59823.
Thus, GCF of Fractions is 1/59823.Finally, GCF of Fractions for 430/867, 3989/207 is 1/59823.