GCF of 4274/260, 1320/5818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4274/260, 1320/5818 i.e 2/756340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4274/260, 1320/5818.
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 4274/260,1320/5818?
Given fractions are 4274/260,1320/5818
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 4274/260,1320/5818, numerators are 4274,1320
Denominators are 260,5818
The GCF of 4274,1320 is 2 .
LCM of 260,5818 is 756340.
The greatest common factor of 4274/260,1320/5818 = [GCF of 4274,1320]/[LCM of 260,5818]= 2/756340
Therefore, the GCF of 4274/260,1320/5818 is 2/756340.
To find the highest common factor of 4274,1320, we have to find the factors of both numbers and list the highest common factor.
The factors of 4274 are 1, 2, 2137, 4274
The factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
The HCF of 4274,1320 is 2.
Lets's calculate GCF of 4274,1320
| 2 | 4274, 1320 |
| 2137, 660 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4274,1320 By Matching Biggest Common Factor Method
Now, list down the factors of 4274
:1,2,2137,4274
Now, list down the factors of 1320
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320
Greatest Common Factor
We found the factors 4274,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 4274,1320 is 2.
Lets's calculate LCM of 260,5818
| 2 | 260, 5818 |
| 130, 2909 |
∴ So the LCM of the given numbers is 2 x 130 x 2909 = 756340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/756340
Therefore, the GCF of Fractions 4274/260,1320/5818 is 2/756340
Least Common Multiple of 260,5818 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 260,5818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5818) x common factors =2 x 1 = 2
LCM(260,5818) = ( 260 × 5818 ) / 2
LCM(260,5818) = 1512680 / 2
LCM(260,5818) = 756340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4274/260, 1320/5818
1. What is the HCF of 4274,1320?
The HCF of 4274,1320 is 2
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 4274/260, 1320/5818?
Answer: GCF of Numerators as per given numbers 4274/260, 1320/5818 is
GCF of Numerators i.e. for 4274,1320 is 2
LCM of denominators i.e. for 260,5818 is 756340.
Thus, GCF of Fractions is 2/756340.Finally, GCF of Fractions for 4274/260, 1320/5818 is 2/756340.