GCF of 1080/967, 3996/8223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1080/967, 3996/8223 i.e 108/7951641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1080/967, 3996/8223.
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 1080/967,3996/8223?
Given fractions are 1080/967,3996/8223
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 1080/967,3996/8223, numerators are 1080,3996
Denominators are 967,8223
The GCF of 1080,3996 is 108 .
LCM of 967,8223 is 7951641.
The greatest common factor of 1080/967,3996/8223 = [GCF of 1080,3996]/[LCM of 967,8223]= 108/7951641
Therefore, the GCF of 1080/967,3996/8223 is 108/7951641.
To find the highest common factor of 1080,3996, we have to find the factors of both numbers and list the highest common factor.
The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996
The HCF of 1080,3996 is 108.
Lets's calculate GCF of 1080,3996
| 2 | 1080, 3996 |
| 2 | 540, 1998 |
| 3 | 270, 999 |
| 3 | 90, 333 |
| 3 | 30, 111 |
| 10, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108
Greatest Common Factor of 1080,3996 By Matching Biggest Common Factor Method
Now, list down the factors of 1080
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Now, list down the factors of 3996
:1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Greatest Common Factor
We found the factors 1080,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 1080,3996 is 108.
Lets's calculate LCM of 967,8223
Given numbers has no common factors except 1. So, there LCM is their product i.e 7951641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/7951641
Therefore, the GCF of Fractions 1080/967,3996/8223 is 108/7951641
Least Common Multiple of 967,8223 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 967,8223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,8223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,8223) x common factors =1 x 1 = 1
LCM(967,8223) = ( 967 × 8223 ) / 1
LCM(967,8223) = 7951641 / 1
LCM(967,8223) = 7951641
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FAQs on GCF of Fractions of 1080/967, 3996/8223
1. What is the HCF of 1080,3996?
The HCF of 1080,3996 is 108
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 1080/967, 3996/8223?
Answer: GCF of Numerators as per given numbers 1080/967, 3996/8223 is
GCF of Numerators i.e. for 1080,3996 is 108
LCM of denominators i.e. for 967,8223 is 7951641.
Thus, GCF of Fractions is 108/7951641.Finally, GCF of Fractions for 1080/967, 3996/8223 is 108/7951641.