GCF of 4400/428, 9712/8060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4400/428, 9712/8060 i.e 16/862420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4400/428, 9712/8060.
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 4400/428,9712/8060?
Given fractions are 4400/428,9712/8060
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 4400/428,9712/8060, numerators are 4400,9712
Denominators are 428,8060
The GCF of 4400,9712 is 16 .
LCM of 428,8060 is 862420.
The greatest common factor of 4400/428,9712/8060 = [GCF of 4400,9712]/[LCM of 428,8060]= 16/862420
Therefore, the GCF of 4400/428,9712/8060 is 16/862420.
To find the highest common factor of 4400,9712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The HCF of 4400,9712 is 16.
Lets's calculate GCF of 4400,9712
| 2 | 4400, 9712 |
| 2 | 2200, 4856 |
| 2 | 1100, 2428 |
| 2 | 550, 1214 |
| 275, 607 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4400,9712 By Matching Biggest Common Factor Method
Now, list down the factors of 4400
:1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Greatest Common Factor
We found the factors 4400,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 4400,9712 is 16.
Lets's calculate LCM of 428,8060
| 2 | 428, 8060 |
| 2 | 214, 4030 |
| 107, 2015 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 2015 = 862420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/862420
Therefore, the GCF of Fractions 4400/428,9712/8060 is 16/862420
Least Common Multiple of 428,8060 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 428,8060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,8060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,8060) x common factors =4 x 1 = 4
LCM(428,8060) = ( 428 × 8060 ) / 4
LCM(428,8060) = 3449680 / 4
LCM(428,8060) = 862420
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FAQs on GCF of Fractions of 4400/428, 9712/8060
1. What is the HCF of 4400,9712?
The HCF of 4400,9712 is 16
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 4400/428, 9712/8060?
Answer: GCF of Numerators as per given numbers 4400/428, 9712/8060 is
GCF of Numerators i.e. for 4400,9712 is 16
LCM of denominators i.e. for 428,8060 is 862420.
Thus, GCF of Fractions is 16/862420.Finally, GCF of Fractions for 4400/428, 9712/8060 is 16/862420.