GCF of 2664/276, 8050/5427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2664/276, 8050/5427 i.e 2/499284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2664/276, 8050/5427.
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 2664/276,8050/5427?
Given fractions are 2664/276,8050/5427
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 2664/276,8050/5427, numerators are 2664,8050
Denominators are 276,5427
The GCF of 2664,8050 is 2 .
LCM of 276,5427 is 499284.
The greatest common factor of 2664/276,8050/5427 = [GCF of 2664,8050]/[LCM of 276,5427]= 2/499284
Therefore, the GCF of 2664/276,8050/5427 is 2/499284.
To find the highest common factor of 2664,8050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664
The factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The HCF of 2664,8050 is 2.
Lets's calculate GCF of 2664,8050
| 2 | 2664, 8050 |
| 1332, 4025 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2664,8050 By Matching Biggest Common Factor Method
Now, list down the factors of 2664
:1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Greatest Common Factor
We found the factors 2664,8050 . The biggest common factor number is the GCF number.
So the greatest common factor 2664,8050 is 2.
Lets's calculate LCM of 276,5427
| 3 | 276, 5427 |
| 92, 1809 |
∴ So the LCM of the given numbers is 3 x 92 x 1809 = 499284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/499284
Therefore, the GCF of Fractions 2664/276,8050/5427 is 2/499284
Least Common Multiple of 276,5427 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 276,5427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,5427) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(276,5427) x common factors =3 x 1 = 3
LCM(276,5427) = ( 276 × 5427 ) / 3
LCM(276,5427) = 1497852 / 3
LCM(276,5427) = 499284
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2664/276, 8050/5427
1. What is the HCF of 2664,8050?
The HCF of 2664,8050 is 2
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 2664/276, 8050/5427?
Answer: GCF of Numerators as per given numbers 2664/276, 8050/5427 is
GCF of Numerators i.e. for 2664,8050 is 2
LCM of denominators i.e. for 276,5427 is 499284.
Thus, GCF of Fractions is 2/499284.Finally, GCF of Fractions for 2664/276, 8050/5427 is 2/499284.