GCF of 3782/796, 2866/6170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3782/796, 2866/6170 i.e 2/2455660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3782/796, 2866/6170.
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 3782/796,2866/6170?
Given fractions are 3782/796,2866/6170
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 3782/796,2866/6170, numerators are 3782,2866
Denominators are 796,6170
The GCF of 3782,2866 is 2 .
LCM of 796,6170 is 2455660.
The greatest common factor of 3782/796,2866/6170 = [GCF of 3782,2866]/[LCM of 796,6170]= 2/2455660
Therefore, the GCF of 3782/796,2866/6170 is 2/2455660.
To find the highest common factor of 3782,2866, we have to find the factors of both numbers and list the highest common factor.
The factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782
The factors of 2866 are 1, 2, 1433, 2866
The HCF of 3782,2866 is 2.
Lets's calculate GCF of 3782,2866
| 2 | 3782, 2866 |
| 1891, 1433 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3782,2866 By Matching Biggest Common Factor Method
Now, list down the factors of 3782
:1,2,31,61,62,122,1891,3782
Now, list down the factors of 2866
:1,2,1433,2866
Greatest Common Factor
We found the factors 3782,2866 . The biggest common factor number is the GCF number.
So the greatest common factor 3782,2866 is 2.
Lets's calculate LCM of 796,6170
| 2 | 796, 6170 |
| 398, 3085 |
∴ So the LCM of the given numbers is 2 x 398 x 3085 = 2455660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2455660
Therefore, the GCF of Fractions 3782/796,2866/6170 is 2/2455660
Least Common Multiple of 796,6170 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 796,6170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,6170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,6170) x common factors =2 x 1 = 2
LCM(796,6170) = ( 796 × 6170 ) / 2
LCM(796,6170) = 4911320 / 2
LCM(796,6170) = 2455660
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FAQs on GCF of Fractions of 3782/796, 2866/6170
1. What is the HCF of 3782,2866?
The HCF of 3782,2866 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 3782/796, 2866/6170?
Answer: GCF of Numerators as per given numbers 3782/796, 2866/6170 is
GCF of Numerators i.e. for 3782,2866 is 2
LCM of denominators i.e. for 796,6170 is 2455660.
Thus, GCF of Fractions is 2/2455660.Finally, GCF of Fractions for 3782/796, 2866/6170 is 2/2455660.