GCF of 3874/432, 2607/9585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3874/432, 2607/9585 i.e 1/153360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3874/432, 2607/9585.
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 3874/432,2607/9585?
Given fractions are 3874/432,2607/9585
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 3874/432,2607/9585, numerators are 3874,2607
Denominators are 432,9585
The GCF of 3874,2607 is 1 .
LCM of 432,9585 is 153360.
The greatest common factor of 3874/432,2607/9585 = [GCF of 3874,2607]/[LCM of 432,9585]= 1/153360
Therefore, the GCF of 3874/432,2607/9585 is 1/153360.
To find the highest common factor of 3874,2607, we have to find the factors of both numbers and list the highest common factor.
The factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The HCF of 3874,2607 is 1.
Lets's calculate GCF of 3874,2607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3874,2607 By Matching Biggest Common Factor Method
Now, list down the factors of 3874
:1,2,13,26,149,298,1937,3874
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Greatest Common Factor
We found the factors 3874,2607 . The biggest common factor number is the GCF number.
So the greatest common factor 3874,2607 is 1.
Lets's calculate LCM of 432,9585
| 3 | 432, 9585 |
| 3 | 144, 3195 |
| 3 | 48, 1065 |
| 16, 355 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 16 x 355 = 153360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153360
Therefore, the GCF of Fractions 3874/432,2607/9585 is 1/153360
Least Common Multiple of 432,9585 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 432,9585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,9585) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(432,9585) x common factors =27 x 1 = 27
LCM(432,9585) = ( 432 × 9585 ) / 27
LCM(432,9585) = 4140720 / 27
LCM(432,9585) = 153360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3874/432, 2607/9585
1. What is the HCF of 3874,2607?
The HCF of 3874,2607 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 3874/432, 2607/9585?
Answer: GCF of Numerators as per given numbers 3874/432, 2607/9585 is
GCF of Numerators i.e. for 3874,2607 is 1
LCM of denominators i.e. for 432,9585 is 153360.
Thus, GCF of Fractions is 1/153360.Finally, GCF of Fractions for 3874/432, 2607/9585 is 1/153360.