GCF of 2271/190, 7812/6032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2271/190, 7812/6032 i.e 3/573040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2271/190, 7812/6032.
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 2271/190,7812/6032?
Given fractions are 2271/190,7812/6032
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 2271/190,7812/6032, numerators are 2271,7812
Denominators are 190,6032
The GCF of 2271,7812 is 3 .
LCM of 190,6032 is 573040.
The greatest common factor of 2271/190,7812/6032 = [GCF of 2271,7812]/[LCM of 190,6032]= 3/573040
Therefore, the GCF of 2271/190,7812/6032 is 3/573040.
To find the highest common factor of 2271,7812, we have to find the factors of both numbers and list the highest common factor.
The factors of 2271 are 1, 3, 757, 2271
The factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 2271,7812 is 3.
Lets's calculate GCF of 2271,7812
| 3 | 2271, 7812 |
| 757, 2604 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2271,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 2271
:1,3,757,2271
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 2271,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 2271,7812 is 3.
Lets's calculate LCM of 190,6032
| 2 | 190, 6032 |
| 95, 3016 |
∴ So the LCM of the given numbers is 2 x 95 x 3016 = 573040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/573040
Therefore, the GCF of Fractions 2271/190,7812/6032 is 3/573040
Least Common Multiple of 190,6032 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 190,6032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,6032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,6032) x common factors =2 x 1 = 2
LCM(190,6032) = ( 190 × 6032 ) / 2
LCM(190,6032) = 1146080 / 2
LCM(190,6032) = 573040
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FAQs on GCF of Fractions of 2271/190, 7812/6032
1. What is the HCF of 2271,7812?
The HCF of 2271,7812 is 3
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 2271/190, 7812/6032?
Answer: GCF of Numerators as per given numbers 2271/190, 7812/6032 is
GCF of Numerators i.e. for 2271,7812 is 3
LCM of denominators i.e. for 190,6032 is 573040.
Thus, GCF of Fractions is 3/573040.Finally, GCF of Fractions for 2271/190, 7812/6032 is 3/573040.