GCF of 1320/156, 9945/6940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1320/156, 9945/6940 i.e 15/270660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1320/156, 9945/6940.
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 1320/156,9945/6940?
Given fractions are 1320/156,9945/6940
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 1320/156,9945/6940, numerators are 1320,9945
Denominators are 156,6940
The GCF of 1320,9945 is 15 .
LCM of 156,6940 is 270660.
The greatest common factor of 1320/156,9945/6940 = [GCF of 1320,9945]/[LCM of 156,6940]= 15/270660
Therefore, the GCF of 1320/156,9945/6940 is 15/270660.
To find the highest common factor of 1320,9945, 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 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The HCF of 1320,9945 is 15.
Lets's calculate GCF of 1320,9945
| 3 | 1320, 9945 |
| 5 | 440, 3315 |
| 88, 663 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1320,9945 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 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 1320,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 1320,9945 is 15.
Lets's calculate LCM of 156,6940
| 2 | 156, 6940 |
| 2 | 78, 3470 |
| 39, 1735 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 1735 = 270660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/270660
Therefore, the GCF of Fractions 1320/156,9945/6940 is 15/270660
Least Common Multiple of 156,6940 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 156,6940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,6940) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(156,6940) x common factors =4 x 1 = 4
LCM(156,6940) = ( 156 × 6940 ) / 4
LCM(156,6940) = 1082640 / 4
LCM(156,6940) = 270660
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FAQs on GCF of Fractions of 1320/156, 9945/6940
1. What is the HCF of 1320,9945?
The HCF of 1320,9945 is 15
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 1320/156, 9945/6940?
Answer: GCF of Numerators as per given numbers 1320/156, 9945/6940 is
GCF of Numerators i.e. for 1320,9945 is 15
LCM of denominators i.e. for 156,6940 is 270660.
Thus, GCF of Fractions is 15/270660.Finally, GCF of Fractions for 1320/156, 9945/6940 is 15/270660.