GCF of 1627/820, 2400/8308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1627/820, 2400/8308 i.e 1/1703140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1627/820, 2400/8308.
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 1627/820,2400/8308?
Given fractions are 1627/820,2400/8308
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 1627/820,2400/8308, numerators are 1627,2400
Denominators are 820,8308
The GCF of 1627,2400 is 1 .
LCM of 820,8308 is 1703140.
The greatest common factor of 1627/820,2400/8308 = [GCF of 1627,2400]/[LCM of 820,8308]= 1/1703140
Therefore, the GCF of 1627/820,2400/8308 is 1/1703140.
To find the highest common factor of 1627,2400, we have to find the factors of both numbers and list the highest common factor.
The factors of 1627 are 1, 1627
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
The HCF of 1627,2400 is 1.
Lets's calculate GCF of 1627,2400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1627,2400 By Matching Biggest Common Factor Method
Now, list down the factors of 1627
:1,1627
Now, list down the factors of 2400
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Greatest Common Factor
We found the factors 1627,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 1627,2400 is 1.
Lets's calculate LCM of 820,8308
| 2 | 820, 8308 |
| 2 | 410, 4154 |
| 205, 2077 |
∴ So the LCM of the given numbers is 2 x 2 x 205 x 2077 = 1703140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1703140
Therefore, the GCF of Fractions 1627/820,2400/8308 is 1/1703140
Least Common Multiple of 820,8308 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 820,8308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,8308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(820,8308) x common factors =4 x 1 = 4
LCM(820,8308) = ( 820 × 8308 ) / 4
LCM(820,8308) = 6812560 / 4
LCM(820,8308) = 1703140
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FAQs on GCF of Fractions of 1627/820, 2400/8308
1. What is the HCF of 1627,2400?
The HCF of 1627,2400 is 1
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 1627/820, 2400/8308?
Answer: GCF of Numerators as per given numbers 1627/820, 2400/8308 is
GCF of Numerators i.e. for 1627,2400 is 1
LCM of denominators i.e. for 820,8308 is 1703140.
Thus, GCF of Fractions is 1/1703140.Finally, GCF of Fractions for 1627/820, 2400/8308 is 1/1703140.