GCF of 3645/874, 4638/9912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3645/874, 4638/9912 i.e 3/4331544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3645/874, 4638/9912.
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 3645/874,4638/9912?
Given fractions are 3645/874,4638/9912
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 3645/874,4638/9912, numerators are 3645,4638
Denominators are 874,9912
The GCF of 3645,4638 is 3 .
LCM of 874,9912 is 4331544.
The greatest common factor of 3645/874,4638/9912 = [GCF of 3645,4638]/[LCM of 874,9912]= 3/4331544
Therefore, the GCF of 3645/874,4638/9912 is 3/4331544.
To find the highest common factor of 3645,4638, we have to find the factors of both numbers and list the highest common factor.
The factors of 3645 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645
The factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638
The HCF of 3645,4638 is 3.
Lets's calculate GCF of 3645,4638
| 3 | 3645, 4638 |
| 1215, 1546 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3645,4638 By Matching Biggest Common Factor Method
Now, list down the factors of 3645
:1,3,5,9,15,27,45,81,135,243,405,729,1215,3645
Now, list down the factors of 4638
:1,2,3,6,773,1546,2319,4638
Greatest Common Factor
We found the factors 3645,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 3645,4638 is 3.
Lets's calculate LCM of 874,9912
| 2 | 874, 9912 |
| 437, 4956 |
∴ So the LCM of the given numbers is 2 x 437 x 4956 = 4331544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4331544
Therefore, the GCF of Fractions 3645/874,4638/9912 is 3/4331544
Least Common Multiple of 874,9912 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 874,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,9912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,9912) x common factors =2 x 1 = 2
LCM(874,9912) = ( 874 × 9912 ) / 2
LCM(874,9912) = 8663088 / 2
LCM(874,9912) = 4331544
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FAQs on GCF of Fractions of 3645/874, 4638/9912
1. What is the HCF of 3645,4638?
The HCF of 3645,4638 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 3645/874, 4638/9912?
Answer: GCF of Numerators as per given numbers 3645/874, 4638/9912 is
GCF of Numerators i.e. for 3645,4638 is 3
LCM of denominators i.e. for 874,9912 is 4331544.
Thus, GCF of Fractions is 3/4331544.Finally, GCF of Fractions for 3645/874, 4638/9912 is 3/4331544.