GCF of 1389/624, 4738/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1389/624, 4738/976 i.e 1/38064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1389/624, 4738/976.
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 1389/624,4738/976?
Given fractions are 1389/624,4738/976
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 1389/624,4738/976, numerators are 1389,4738
Denominators are 624,976
The GCF of 1389,4738 is 1 .
LCM of 624,976 is 38064.
The greatest common factor of 1389/624,4738/976 = [GCF of 1389,4738]/[LCM of 624,976]= 1/38064
Therefore, the GCF of 1389/624,4738/976 is 1/38064.
To find the highest common factor of 1389,4738, we have to find the factors of both numbers and list the highest common factor.
The factors of 1389 are 1, 3, 463, 1389
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The HCF of 1389,4738 is 1.
Lets's calculate GCF of 1389,4738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1389,4738 By Matching Biggest Common Factor Method
Now, list down the factors of 1389
:1,3,463,1389
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 1389,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 1389,4738 is 1.
Lets's calculate LCM of 624,976
| 2 | 624, 976 |
| 2 | 312, 488 |
| 2 | 156, 244 |
| 2 | 78, 122 |
| 39, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 39 x 61 = 38064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38064
Therefore, the GCF of Fractions 1389/624,4738/976 is 1/38064
Least Common Multiple of 624,976 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 624,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,976) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(624,976) x common factors =16 x 1 = 16
LCM(624,976) = ( 624 × 976 ) / 16
LCM(624,976) = 609024 / 16
LCM(624,976) = 38064
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FAQs on GCF of Fractions of 1389/624, 4738/976
1. What is the HCF of 1389,4738?
The HCF of 1389,4738 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 1389/624, 4738/976?
Answer: GCF of Numerators as per given numbers 1389/624, 4738/976 is
GCF of Numerators i.e. for 1389,4738 is 1
LCM of denominators i.e. for 624,976 is 38064.
Thus, GCF of Fractions is 1/38064.Finally, GCF of Fractions for 1389/624, 4738/976 is 1/38064.