GCF of 3870/249, 7935/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3870/249, 7935/512 i.e 15/127488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3870/249, 7935/512.
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 3870/249,7935/512?
Given fractions are 3870/249,7935/512
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 3870/249,7935/512, numerators are 3870,7935
Denominators are 249,512
The GCF of 3870,7935 is 15 .
LCM of 249,512 is 127488.
The greatest common factor of 3870/249,7935/512 = [GCF of 3870,7935]/[LCM of 249,512]= 15/127488
Therefore, the GCF of 3870/249,7935/512 is 15/127488.
To find the highest common factor of 3870,7935, we have to find the factors of both numbers and list the highest common factor.
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935
The HCF of 3870,7935 is 15.
Lets's calculate GCF of 3870,7935
| 3 | 3870, 7935 |
| 5 | 1290, 2645 |
| 258, 529 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3870,7935 By Matching Biggest Common Factor Method
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Now, list down the factors of 7935
:1,3,5,15,23,69,115,345,529,1587,2645,7935
Greatest Common Factor
We found the factors 3870,7935 . The biggest common factor number is the GCF number.
So the greatest common factor 3870,7935 is 15.
Lets's calculate LCM of 249,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 127488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/127488
Therefore, the GCF of Fractions 3870/249,7935/512 is 15/127488
Least Common Multiple of 249,512 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 249,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,512) x common factors =1 x 1 = 1
LCM(249,512) = ( 249 × 512 ) / 1
LCM(249,512) = 127488 / 1
LCM(249,512) = 127488
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3870/249, 7935/512
1. What is the HCF of 3870,7935?
The HCF of 3870,7935 is 15
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 3870/249, 7935/512?
Answer: GCF of Numerators as per given numbers 3870/249, 7935/512 is
GCF of Numerators i.e. for 3870,7935 is 15
LCM of denominators i.e. for 249,512 is 127488.
Thus, GCF of Fractions is 15/127488.Finally, GCF of Fractions for 3870/249, 7935/512 is 15/127488.