GCF of 1578/426, 6120/8280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1578/426, 6120/8280 i.e 6/587880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1578/426, 6120/8280.
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 1578/426,6120/8280?
Given fractions are 1578/426,6120/8280
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 1578/426,6120/8280, numerators are 1578,6120
Denominators are 426,8280
The GCF of 1578,6120 is 6 .
LCM of 426,8280 is 587880.
The greatest common factor of 1578/426,6120/8280 = [GCF of 1578,6120]/[LCM of 426,8280]= 6/587880
Therefore, the GCF of 1578/426,6120/8280 is 6/587880.
To find the highest common factor of 1578,6120, we have to find the factors of both numbers and list the highest common factor.
The factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578
The factors of 6120 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120
The HCF of 1578,6120 is 6.
Lets's calculate GCF of 1578,6120
| 2 | 1578, 6120 |
| 3 | 789, 3060 |
| 263, 1020 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1578,6120 By Matching Biggest Common Factor Method
Now, list down the factors of 1578
:1,2,3,6,263,526,789,1578
Now, list down the factors of 6120
:1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120
Greatest Common Factor
We found the factors 1578,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 1578,6120 is 6.
Lets's calculate LCM of 426,8280
| 2 | 426, 8280 |
| 3 | 213, 4140 |
| 71, 1380 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 1380 = 587880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/587880
Therefore, the GCF of Fractions 1578/426,6120/8280 is 6/587880
Least Common Multiple of 426,8280 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 426,8280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,8280) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(426,8280) x common factors =6 x 1 = 6
LCM(426,8280) = ( 426 × 8280 ) / 6
LCM(426,8280) = 3527280 / 6
LCM(426,8280) = 587880
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1578/426, 6120/8280
1. What is the HCF of 1578,6120?
The HCF of 1578,6120 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 1578/426, 6120/8280?
Answer: GCF of Numerators as per given numbers 1578/426, 6120/8280 is
GCF of Numerators i.e. for 1578,6120 is 6
LCM of denominators i.e. for 426,8280 is 587880.
Thus, GCF of Fractions is 6/587880.Finally, GCF of Fractions for 1578/426, 6120/8280 is 6/587880.