GCF of 1530/236, 4164/1386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1530/236, 4164/1386 i.e 6/163548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1530/236, 4164/1386.
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 1530/236,4164/1386?
Given fractions are 1530/236,4164/1386
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 1530/236,4164/1386, numerators are 1530,4164
Denominators are 236,1386
The GCF of 1530,4164 is 6 .
LCM of 236,1386 is 163548.
The greatest common factor of 1530/236,4164/1386 = [GCF of 1530,4164]/[LCM of 236,1386]= 6/163548
Therefore, the GCF of 1530/236,4164/1386 is 6/163548.
To find the highest common factor of 1530,4164, we have to find the factors of both numbers and list the highest common factor.
The factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
The factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164
The HCF of 1530,4164 is 6.
Lets's calculate GCF of 1530,4164
| 2 | 1530, 4164 |
| 3 | 765, 2082 |
| 255, 694 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1530,4164 By Matching Biggest Common Factor Method
Now, list down the factors of 1530
:1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Now, list down the factors of 4164
:1,2,3,4,6,12,347,694,1041,1388,2082,4164
Greatest Common Factor
We found the factors 1530,4164 . The biggest common factor number is the GCF number.
So the greatest common factor 1530,4164 is 6.
Lets's calculate LCM of 236,1386
| 2 | 236, 1386 |
| 118, 693 |
∴ So the LCM of the given numbers is 2 x 118 x 693 = 163548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/163548
Therefore, the GCF of Fractions 1530/236,4164/1386 is 6/163548
Least Common Multiple of 236,1386 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 236,1386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,1386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,1386) x common factors =2 x 1 = 2
LCM(236,1386) = ( 236 × 1386 ) / 2
LCM(236,1386) = 327096 / 2
LCM(236,1386) = 163548
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1530/236, 4164/1386
1. What is the HCF of 1530,4164?
The HCF of 1530,4164 is 6
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 1530/236, 4164/1386?
Answer: GCF of Numerators as per given numbers 1530/236, 4164/1386 is
GCF of Numerators i.e. for 1530,4164 is 6
LCM of denominators i.e. for 236,1386 is 163548.
Thus, GCF of Fractions is 6/163548.Finally, GCF of Fractions for 1530/236, 4164/1386 is 6/163548.