GCF of 9076/213, 1926/3782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9076/213, 1926/3782 i.e 2/805566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9076/213, 1926/3782.
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 9076/213,1926/3782?
Given fractions are 9076/213,1926/3782
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 9076/213,1926/3782, numerators are 9076,1926
Denominators are 213,3782
The GCF of 9076,1926 is 2 .
LCM of 213,3782 is 805566.
The greatest common factor of 9076/213,1926/3782 = [GCF of 9076,1926]/[LCM of 213,3782]= 2/805566
Therefore, the GCF of 9076/213,1926/3782 is 2/805566.
To find the highest common factor of 9076,1926, we have to find the factors of both numbers and list the highest common factor.
The factors of 9076 are 1, 2, 4, 2269, 4538, 9076
The factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
The HCF of 9076,1926 is 2.
Lets's calculate GCF of 9076,1926
| 2 | 9076, 1926 |
| 4538, 963 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9076,1926 By Matching Biggest Common Factor Method
Now, list down the factors of 9076
:1,2,4,2269,4538,9076
Now, list down the factors of 1926
:1,2,3,6,9,18,107,214,321,642,963,1926
Greatest Common Factor
We found the factors 9076,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 9076,1926 is 2.
Lets's calculate LCM of 213,3782
Given numbers has no common factors except 1. So, there LCM is their product i.e 805566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/805566
Therefore, the GCF of Fractions 9076/213,1926/3782 is 2/805566
Least Common Multiple of 213,3782 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 213,3782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,3782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,3782) x common factors =1 x 1 = 1
LCM(213,3782) = ( 213 × 3782 ) / 1
LCM(213,3782) = 805566 / 1
LCM(213,3782) = 805566
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FAQs on GCF of Fractions of 9076/213, 1926/3782
1. What is the HCF of 9076,1926?
The HCF of 9076,1926 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 9076/213, 1926/3782?
Answer: GCF of Numerators as per given numbers 9076/213, 1926/3782 is
GCF of Numerators i.e. for 9076,1926 is 2
LCM of denominators i.e. for 213,3782 is 805566.
Thus, GCF of Fractions is 2/805566.Finally, GCF of Fractions for 9076/213, 1926/3782 is 2/805566.