GCF of 10/767, 44/363, 206/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 10/767, 44/363, 206/814 i.e 2/20603154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/767, 44/363, 206/814.
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 10/767,44/363,206/814?
Given fractions are 10/767,44/363,206/814
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 10/767,44/363,206/814, numerators are 10,44,206
Denominators are 767,363,814
The GCF of 10,44,206 is 2 .
LCM of 767,363,814 is 20603154.
The greatest common factor of 10/767,44/363,206/814 = [GCF of 10,44,206]/[LCM of 767,363,814]= 2/20603154
Therefore, the GCF of 10/767,44/363,206/814 is 2/20603154.
To find the highest common factor of 10,44,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 206 are 1, 2, 103, 206
The HCF of 10,44,206 is 2.
Lets's calculate GCF of 10,44,206
| 2 | 10, 44, 206 |
| 5, 22, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 10,44,206 By Matching Biggest Common Factor Method
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 10,44,206 . The biggest common factor number is the GCF number.
So the greatest common factor 10,44,206 is 2.
Lets's calculate LCM of 767,363,814
| 11 | 767, 363, 814 |
| 767, 33, 74 |
∴ So the LCM of the given numbers is 11 x 767 x 33 x 74 = 20603154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20603154
Therefore, the GCF of Fractions 10/767,44/363,206/814 is 2/20603154
Least Common Multiple of 767,363,814 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 767,363,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,363,814) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(767,363,814) x common factors =1 x 11 = 11
LCM(767,363,814) = ( 767 × 363 × 814 ) / 11
LCM(767,363,814) = 226634694 / 11
LCM(767,363,814) = 20603154
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FAQs on GCF of Fractions of 10/767, 44/363, 206/814
1. What is the HCF of 10,44,206?
The HCF of 10,44,206 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 10/767, 44/363, 206/814?
Answer: GCF of Numerators as per given numbers 10/767, 44/363, 206/814 is
GCF of Numerators i.e. for 10,44,206 is 2
LCM of denominators i.e. for 767,363,814 is 20603154.
Thus, GCF of Fractions is 2/20603154.Finally, GCF of Fractions for 10/767, 44/363, 206/814 is 2/20603154.