GCF of 3716/612, 8800/2243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3716/612, 8800/2243 i.e 4/1372716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3716/612, 8800/2243.
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 3716/612,8800/2243?
Given fractions are 3716/612,8800/2243
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 3716/612,8800/2243, numerators are 3716,8800
Denominators are 612,2243
The GCF of 3716,8800 is 4 .
LCM of 612,2243 is 1372716.
The greatest common factor of 3716/612,8800/2243 = [GCF of 3716,8800]/[LCM of 612,2243]= 4/1372716
Therefore, the GCF of 3716/612,8800/2243 is 4/1372716.
To find the highest common factor of 3716,8800, we have to find the factors of both numbers and list the highest common factor.
The factors of 3716 are 1, 2, 4, 929, 1858, 3716
The factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800
The HCF of 3716,8800 is 4.
Lets's calculate GCF of 3716,8800
| 2 | 3716, 8800 |
| 2 | 1858, 4400 |
| 929, 2200 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3716,8800 By Matching Biggest Common Factor Method
Now, list down the factors of 3716
:1,2,4,929,1858,3716
Now, list down the factors of 8800
:1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,80,88,100,110,160,176,200,220,275,352,400,440,550,800,880,1100,1760,2200,4400,8800
Greatest Common Factor
We found the factors 3716,8800 . The biggest common factor number is the GCF number.
So the greatest common factor 3716,8800 is 4.
Lets's calculate LCM of 612,2243
Given numbers has no common factors except 1. So, there LCM is their product i.e 1372716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1372716
Therefore, the GCF of Fractions 3716/612,8800/2243 is 4/1372716
Least Common Multiple of 612,2243 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 612,2243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,2243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,2243) x common factors =1 x 1 = 1
LCM(612,2243) = ( 612 × 2243 ) / 1
LCM(612,2243) = 1372716 / 1
LCM(612,2243) = 1372716
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FAQs on GCF of Fractions of 3716/612, 8800/2243
1. What is the HCF of 3716,8800?
The HCF of 3716,8800 is 4
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 3716/612, 8800/2243?
Answer: GCF of Numerators as per given numbers 3716/612, 8800/2243 is
GCF of Numerators i.e. for 3716,8800 is 4
LCM of denominators i.e. for 612,2243 is 1372716.
Thus, GCF of Fractions is 4/1372716.Finally, GCF of Fractions for 3716/612, 8800/2243 is 4/1372716.