GCF of 1464/780, 1572/4122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1464/780, 1572/4122 i.e 12/535860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1464/780, 1572/4122.
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 1464/780,1572/4122?
Given fractions are 1464/780,1572/4122
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 1464/780,1572/4122, numerators are 1464,1572
Denominators are 780,4122
The GCF of 1464,1572 is 12 .
LCM of 780,4122 is 535860.
The greatest common factor of 1464/780,1572/4122 = [GCF of 1464,1572]/[LCM of 780,4122]= 12/535860
Therefore, the GCF of 1464/780,1572/4122 is 12/535860.
To find the highest common factor of 1464,1572, we have to find the factors of both numbers and list the highest common factor.
The factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The HCF of 1464,1572 is 12.
Lets's calculate GCF of 1464,1572
| 2 | 1464, 1572 |
| 2 | 732, 786 |
| 3 | 366, 393 |
| 122, 131 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1464,1572 By Matching Biggest Common Factor Method
Now, list down the factors of 1464
:1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Greatest Common Factor
We found the factors 1464,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 1464,1572 is 12.
Lets's calculate LCM of 780,4122
| 2 | 780, 4122 |
| 3 | 390, 2061 |
| 130, 687 |
∴ So the LCM of the given numbers is 2 x 3 x 130 x 687 = 535860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/535860
Therefore, the GCF of Fractions 1464/780,1572/4122 is 12/535860
Least Common Multiple of 780,4122 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 780,4122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,4122) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(780,4122) x common factors =6 x 1 = 6
LCM(780,4122) = ( 780 × 4122 ) / 6
LCM(780,4122) = 3215160 / 6
LCM(780,4122) = 535860
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FAQs on GCF of Fractions of 1464/780, 1572/4122
1. What is the HCF of 1464,1572?
The HCF of 1464,1572 is 12
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 1464/780, 1572/4122?
Answer: GCF of Numerators as per given numbers 1464/780, 1572/4122 is
GCF of Numerators i.e. for 1464,1572 is 12
LCM of denominators i.e. for 780,4122 is 535860.
Thus, GCF of Fractions is 12/535860.Finally, GCF of Fractions for 1464/780, 1572/4122 is 12/535860.