GCF of 1544/465, 3540/4660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1544/465, 3540/4660 i.e 4/433380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1544/465, 3540/4660.
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 1544/465,3540/4660?
Given fractions are 1544/465,3540/4660
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 1544/465,3540/4660, numerators are 1544,3540
Denominators are 465,4660
The GCF of 1544,3540 is 4 .
LCM of 465,4660 is 433380.
The greatest common factor of 1544/465,3540/4660 = [GCF of 1544,3540]/[LCM of 465,4660]= 4/433380
Therefore, the GCF of 1544/465,3540/4660 is 4/433380.
To find the highest common factor of 1544,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 1544 are 1, 2, 4, 8, 193, 386, 772, 1544
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 1544,3540 is 4.
Lets's calculate GCF of 1544,3540
| 2 | 1544, 3540 |
| 2 | 772, 1770 |
| 386, 885 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1544,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 1544
:1,2,4,8,193,386,772,1544
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 1544,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 1544,3540 is 4.
Lets's calculate LCM of 465,4660
| 5 | 465, 4660 |
| 93, 932 |
∴ So the LCM of the given numbers is 5 x 93 x 932 = 433380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/433380
Therefore, the GCF of Fractions 1544/465,3540/4660 is 4/433380
Least Common Multiple of 465,4660 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 465,4660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,4660) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(465,4660) x common factors =5 x 1 = 5
LCM(465,4660) = ( 465 × 4660 ) / 5
LCM(465,4660) = 2166900 / 5
LCM(465,4660) = 433380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1544/465, 3540/4660
1. What is the HCF of 1544,3540?
The HCF of 1544,3540 is 4
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 1544/465, 3540/4660?
Answer: GCF of Numerators as per given numbers 1544/465, 3540/4660 is
GCF of Numerators i.e. for 1544,3540 is 4
LCM of denominators i.e. for 465,4660 is 433380.
Thus, GCF of Fractions is 4/433380.Finally, GCF of Fractions for 1544/465, 3540/4660 is 4/433380.