GCF of 1320/774, 2214/5818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1320/774, 2214/5818 i.e 6/2251566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1320/774, 2214/5818.
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 1320/774,2214/5818?
Given fractions are 1320/774,2214/5818
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 1320/774,2214/5818, numerators are 1320,2214
Denominators are 774,5818
The GCF of 1320,2214 is 6 .
LCM of 774,5818 is 2251566.
The greatest common factor of 1320/774,2214/5818 = [GCF of 1320,2214]/[LCM of 774,5818]= 6/2251566
Therefore, the GCF of 1320/774,2214/5818 is 6/2251566.
To find the highest common factor of 1320,2214, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214
The HCF of 1320,2214 is 6.
Lets's calculate GCF of 1320,2214
| 2 | 1320, 2214 |
| 3 | 660, 1107 |
| 220, 369 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1320,2214 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2214
:1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Greatest Common Factor
We found the factors 1320,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 1320,2214 is 6.
Lets's calculate LCM of 774,5818
| 2 | 774, 5818 |
| 387, 2909 |
∴ So the LCM of the given numbers is 2 x 387 x 2909 = 2251566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2251566
Therefore, the GCF of Fractions 1320/774,2214/5818 is 6/2251566
Least Common Multiple of 774,5818 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 774,5818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,5818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,5818) x common factors =2 x 1 = 2
LCM(774,5818) = ( 774 × 5818 ) / 2
LCM(774,5818) = 4503132 / 2
LCM(774,5818) = 2251566
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FAQs on GCF of Fractions of 1320/774, 2214/5818
1. What is the HCF of 1320,2214?
The HCF of 1320,2214 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 1320/774, 2214/5818?
Answer: GCF of Numerators as per given numbers 1320/774, 2214/5818 is
GCF of Numerators i.e. for 1320,2214 is 6
LCM of denominators i.e. for 774,5818 is 2251566.
Thus, GCF of Fractions is 6/2251566.Finally, GCF of Fractions for 1320/774, 2214/5818 is 6/2251566.