GCF of 8091/945, 3420/1944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8091/945, 3420/1944 i.e 9/68040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8091/945, 3420/1944.
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 8091/945,3420/1944?
Given fractions are 8091/945,3420/1944
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 8091/945,3420/1944, numerators are 8091,3420
Denominators are 945,1944
The GCF of 8091,3420 is 9 .
LCM of 945,1944 is 68040.
The greatest common factor of 8091/945,3420/1944 = [GCF of 8091,3420]/[LCM of 945,1944]= 9/68040
Therefore, the GCF of 8091/945,3420/1944 is 9/68040.
To find the highest common factor of 8091,3420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8091 are 1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, 8091
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The HCF of 8091,3420 is 9.
Lets's calculate GCF of 8091,3420
| 3 | 8091, 3420 |
| 3 | 2697, 1140 |
| 899, 380 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8091,3420 By Matching Biggest Common Factor Method
Now, list down the factors of 8091
:1,3,9,29,31,87,93,261,279,899,2697,8091
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 8091,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 8091,3420 is 9.
Lets's calculate LCM of 945,1944
| 3 | 945, 1944 |
| 3 | 315, 648 |
| 3 | 105, 216 |
| 35, 72 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 35 x 72 = 68040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/68040
Therefore, the GCF of Fractions 8091/945,3420/1944 is 9/68040
Least Common Multiple of 945,1944 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 945,1944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,1944) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(945,1944) x common factors =27 x 1 = 27
LCM(945,1944) = ( 945 × 1944 ) / 27
LCM(945,1944) = 1837080 / 27
LCM(945,1944) = 68040
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FAQs on GCF of Fractions of 8091/945, 3420/1944
1. What is the HCF of 8091,3420?
The HCF of 8091,3420 is 9
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 8091/945, 3420/1944?
Answer: GCF of Numerators as per given numbers 8091/945, 3420/1944 is
GCF of Numerators i.e. for 8091,3420 is 9
LCM of denominators i.e. for 945,1944 is 68040.
Thus, GCF of Fractions is 9/68040.Finally, GCF of Fractions for 8091/945, 3420/1944 is 9/68040.