GCF of 8683/777, 3800/2097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8683/777, 3800/2097 i.e 19/543123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8683/777, 3800/2097.
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 8683/777,3800/2097?
Given fractions are 8683/777,3800/2097
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 8683/777,3800/2097, numerators are 8683,3800
Denominators are 777,2097
The GCF of 8683,3800 is 19 .
LCM of 777,2097 is 543123.
The greatest common factor of 8683/777,3800/2097 = [GCF of 8683,3800]/[LCM of 777,2097]= 19/543123
Therefore, the GCF of 8683/777,3800/2097 is 19/543123.
To find the highest common factor of 8683,3800, we have to find the factors of both numbers and list the highest common factor.
The factors of 8683 are 1, 19, 457, 8683
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
The HCF of 8683,3800 is 19.
Lets's calculate GCF of 8683,3800
| 19 | 8683, 3800 |
| 457, 200 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8683,3800 By Matching Biggest Common Factor Method
Now, list down the factors of 8683
:1,19,457,8683
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Greatest Common Factor
We found the factors 8683,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 8683,3800 is 19.
Lets's calculate LCM of 777,2097
| 3 | 777, 2097 |
| 259, 699 |
∴ So the LCM of the given numbers is 3 x 259 x 699 = 543123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/543123
Therefore, the GCF of Fractions 8683/777,3800/2097 is 19/543123
Least Common Multiple of 777,2097 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 777,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,2097) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,2097) x common factors =3 x 1 = 3
LCM(777,2097) = ( 777 × 2097 ) / 3
LCM(777,2097) = 1629369 / 3
LCM(777,2097) = 543123
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FAQs on GCF of Fractions of 8683/777, 3800/2097
1. What is the HCF of 8683,3800?
The HCF of 8683,3800 is 19
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 8683/777, 3800/2097?
Answer: GCF of Numerators as per given numbers 8683/777, 3800/2097 is
GCF of Numerators i.e. for 8683,3800 is 19
LCM of denominators i.e. for 777,2097 is 543123.
Thus, GCF of Fractions is 19/543123.Finally, GCF of Fractions for 8683/777, 3800/2097 is 19/543123.