GCF of 4317/667, 1989/904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4317/667, 1989/904 i.e 3/602968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4317/667, 1989/904.
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 4317/667,1989/904?
Given fractions are 4317/667,1989/904
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 4317/667,1989/904, numerators are 4317,1989
Denominators are 667,904
The GCF of 4317,1989 is 3 .
LCM of 667,904 is 602968.
The greatest common factor of 4317/667,1989/904 = [GCF of 4317,1989]/[LCM of 667,904]= 3/602968
Therefore, the GCF of 4317/667,1989/904 is 3/602968.
To find the highest common factor of 4317,1989, we have to find the factors of both numbers and list the highest common factor.
The factors of 4317 are 1, 3, 1439, 4317
The factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989
The HCF of 4317,1989 is 3.
Lets's calculate GCF of 4317,1989
| 3 | 4317, 1989 |
| 1439, 663 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4317,1989 By Matching Biggest Common Factor Method
Now, list down the factors of 4317
:1,3,1439,4317
Now, list down the factors of 1989
:1,3,9,13,17,39,51,117,153,221,663,1989
Greatest Common Factor
We found the factors 4317,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 4317,1989 is 3.
Lets's calculate LCM of 667,904
Given numbers has no common factors except 1. So, there LCM is their product i.e 602968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/602968
Therefore, the GCF of Fractions 4317/667,1989/904 is 3/602968
Least Common Multiple of 667,904 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 667,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,904) x common factors =1 x 1 = 1
LCM(667,904) = ( 667 × 904 ) / 1
LCM(667,904) = 602968 / 1
LCM(667,904) = 602968
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FAQs on GCF of Fractions of 4317/667, 1989/904
1. What is the HCF of 4317,1989?
The HCF of 4317,1989 is 3
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 4317/667, 1989/904?
Answer: GCF of Numerators as per given numbers 4317/667, 1989/904 is
GCF of Numerators i.e. for 4317,1989 is 3
LCM of denominators i.e. for 667,904 is 602968.
Thus, GCF of Fractions is 3/602968.Finally, GCF of Fractions for 4317/667, 1989/904 is 3/602968.