GCF of 3818/808, 6800/3412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3818/808, 6800/3412 i.e 2/689224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3818/808, 6800/3412.
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 3818/808,6800/3412?
Given fractions are 3818/808,6800/3412
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 3818/808,6800/3412, numerators are 3818,6800
Denominators are 808,3412
The GCF of 3818,6800 is 2 .
LCM of 808,3412 is 689224.
The greatest common factor of 3818/808,6800/3412 = [GCF of 3818,6800]/[LCM of 808,3412]= 2/689224
Therefore, the GCF of 3818/808,6800/3412 is 2/689224.
To find the highest common factor of 3818,6800, we have to find the factors of both numbers and list the highest common factor.
The factors of 3818 are 1, 2, 23, 46, 83, 166, 1909, 3818
The factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The HCF of 3818,6800 is 2.
Lets's calculate GCF of 3818,6800
| 2 | 3818, 6800 |
| 1909, 3400 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3818,6800 By Matching Biggest Common Factor Method
Now, list down the factors of 3818
:1,2,23,46,83,166,1909,3818
Now, list down the factors of 6800
:1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800
Greatest Common Factor
We found the factors 3818,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 3818,6800 is 2.
Lets's calculate LCM of 808,3412
| 2 | 808, 3412 |
| 2 | 404, 1706 |
| 202, 853 |
∴ So the LCM of the given numbers is 2 x 2 x 202 x 853 = 689224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/689224
Therefore, the GCF of Fractions 3818/808,6800/3412 is 2/689224
Least Common Multiple of 808,3412 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 808,3412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,3412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(808,3412) x common factors =4 x 1 = 4
LCM(808,3412) = ( 808 × 3412 ) / 4
LCM(808,3412) = 2756896 / 4
LCM(808,3412) = 689224
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FAQs on GCF of Fractions of 3818/808, 6800/3412
1. What is the HCF of 3818,6800?
The HCF of 3818,6800 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 3818/808, 6800/3412?
Answer: GCF of Numerators as per given numbers 3818/808, 6800/3412 is
GCF of Numerators i.e. for 3818,6800 is 2
LCM of denominators i.e. for 808,3412 is 689224.
Thus, GCF of Fractions is 2/689224.Finally, GCF of Fractions for 3818/808, 6800/3412 is 2/689224.