GCF of 6803/636, 3300/3951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6803/636, 3300/3951 i.e 1/837612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6803/636, 3300/3951.
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 6803/636,3300/3951?
Given fractions are 6803/636,3300/3951
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 6803/636,3300/3951, numerators are 6803,3300
Denominators are 636,3951
The GCF of 6803,3300 is 1 .
LCM of 636,3951 is 837612.
The greatest common factor of 6803/636,3300/3951 = [GCF of 6803,3300]/[LCM of 636,3951]= 1/837612
Therefore, the GCF of 6803/636,3300/3951 is 1/837612.
To find the highest common factor of 6803,3300, we have to find the factors of both numbers and list the highest common factor.
The factors of 6803 are 1, 6803
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300
The HCF of 6803,3300 is 1.
Lets's calculate GCF of 6803,3300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6803,3300 By Matching Biggest Common Factor Method
Now, list down the factors of 6803
:1,6803
Now, list down the factors of 3300
:1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Greatest Common Factor
We found the factors 6803,3300 . The biggest common factor number is the GCF number.
So the greatest common factor 6803,3300 is 1.
Lets's calculate LCM of 636,3951
| 3 | 636, 3951 |
| 212, 1317 |
∴ So the LCM of the given numbers is 3 x 212 x 1317 = 837612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/837612
Therefore, the GCF of Fractions 6803/636,3300/3951 is 1/837612
Least Common Multiple of 636,3951 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 636,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3951) x common factors =3 x 1 = 3
LCM(636,3951) = ( 636 × 3951 ) / 3
LCM(636,3951) = 2512836 / 3
LCM(636,3951) = 837612
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FAQs on GCF of Fractions of 6803/636, 3300/3951
1. What is the HCF of 6803,3300?
The HCF of 6803,3300 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 6803/636, 3300/3951?
Answer: GCF of Numerators as per given numbers 6803/636, 3300/3951 is
GCF of Numerators i.e. for 6803,3300 is 1
LCM of denominators i.e. for 636,3951 is 837612.
Thus, GCF of Fractions is 1/837612.Finally, GCF of Fractions for 6803/636, 3300/3951 is 1/837612.