GCF of 4371/978, 4638/2124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4371/978, 4638/2124 i.e 3/346212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4371/978, 4638/2124.
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 4371/978,4638/2124?
Given fractions are 4371/978,4638/2124
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 4371/978,4638/2124, numerators are 4371,4638
Denominators are 978,2124
The GCF of 4371,4638 is 3 .
LCM of 978,2124 is 346212.
The greatest common factor of 4371/978,4638/2124 = [GCF of 4371,4638]/[LCM of 978,2124]= 3/346212
Therefore, the GCF of 4371/978,4638/2124 is 3/346212.
To find the highest common factor of 4371,4638, we have to find the factors of both numbers and list the highest common factor.
The factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371
The factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638
The HCF of 4371,4638 is 3.
Lets's calculate GCF of 4371,4638
| 3 | 4371, 4638 |
| 1457, 1546 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4371,4638 By Matching Biggest Common Factor Method
Now, list down the factors of 4371
:1,3,31,47,93,141,1457,4371
Now, list down the factors of 4638
:1,2,3,6,773,1546,2319,4638
Greatest Common Factor
We found the factors 4371,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 4371,4638 is 3.
Lets's calculate LCM of 978,2124
| 2 | 978, 2124 |
| 3 | 489, 1062 |
| 163, 354 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 354 = 346212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/346212
Therefore, the GCF of Fractions 4371/978,4638/2124 is 3/346212
Least Common Multiple of 978,2124 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 978,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,2124) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,2124) x common factors =6 x 1 = 6
LCM(978,2124) = ( 978 × 2124 ) / 6
LCM(978,2124) = 2077272 / 6
LCM(978,2124) = 346212
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FAQs on GCF of Fractions of 4371/978, 4638/2124
1. What is the HCF of 4371,4638?
The HCF of 4371,4638 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 4371/978, 4638/2124?
Answer: GCF of Numerators as per given numbers 4371/978, 4638/2124 is
GCF of Numerators i.e. for 4371,4638 is 3
LCM of denominators i.e. for 978,2124 is 346212.
Thus, GCF of Fractions is 3/346212.Finally, GCF of Fractions for 4371/978, 4638/2124 is 3/346212.