GCF of 1512/178, 7536/3580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1512/178, 7536/3580 i.e 24/318620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1512/178, 7536/3580.
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 1512/178,7536/3580?
Given fractions are 1512/178,7536/3580
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 1512/178,7536/3580, numerators are 1512,7536
Denominators are 178,3580
The GCF of 1512,7536 is 24 .
LCM of 178,3580 is 318620.
The greatest common factor of 1512/178,7536/3580 = [GCF of 1512,7536]/[LCM of 178,3580]= 24/318620
Therefore, the GCF of 1512/178,7536/3580 is 24/318620.
To find the highest common factor of 1512,7536, we have to find the factors of both numbers and list the highest common factor.
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
The HCF of 1512,7536 is 24.
Lets's calculate GCF of 1512,7536
| 2 | 1512, 7536 |
| 2 | 756, 3768 |
| 2 | 378, 1884 |
| 3 | 189, 942 |
| 63, 314 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 1512,7536 By Matching Biggest Common Factor Method
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Now, list down the factors of 7536
:1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors 1512,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 1512,7536 is 24.
Lets's calculate LCM of 178,3580
| 2 | 178, 3580 |
| 89, 1790 |
∴ So the LCM of the given numbers is 2 x 89 x 1790 = 318620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/318620
Therefore, the GCF of Fractions 1512/178,7536/3580 is 24/318620
Least Common Multiple of 178,3580 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 178,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,3580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,3580) x common factors =2 x 1 = 2
LCM(178,3580) = ( 178 × 3580 ) / 2
LCM(178,3580) = 637240 / 2
LCM(178,3580) = 318620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1512/178, 7536/3580
1. What is the HCF of 1512,7536?
The HCF of 1512,7536 is 24
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 1512/178, 7536/3580?
Answer: GCF of Numerators as per given numbers 1512/178, 7536/3580 is
GCF of Numerators i.e. for 1512,7536 is 24
LCM of denominators i.e. for 178,3580 is 318620.
Thus, GCF of Fractions is 24/318620.Finally, GCF of Fractions for 1512/178, 7536/3580 is 24/318620.