GCF of 3212/841, 3784/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3212/841, 3784/590 i.e 44/496190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3212/841, 3784/590.
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 3212/841,3784/590?
Given fractions are 3212/841,3784/590
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 3212/841,3784/590, numerators are 3212,3784
Denominators are 841,590
The GCF of 3212,3784 is 44 .
LCM of 841,590 is 496190.
The greatest common factor of 3212/841,3784/590 = [GCF of 3212,3784]/[LCM of 841,590]= 44/496190
Therefore, the GCF of 3212/841,3784/590 is 44/496190.
To find the highest common factor of 3212,3784, we have to find the factors of both numbers and list the highest common factor.
The factors of 3212 are 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212
The factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784
The HCF of 3212,3784 is 44.
Lets's calculate GCF of 3212,3784
| 2 | 3212, 3784 |
| 2 | 1606, 1892 |
| 11 | 803, 946 |
| 73, 86 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 3212,3784 By Matching Biggest Common Factor Method
Now, list down the factors of 3212
:1,2,4,11,22,44,73,146,292,803,1606,3212
Now, list down the factors of 3784
:1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784
Greatest Common Factor
We found the factors 3212,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 3212,3784 is 44.
Lets's calculate LCM of 841,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 496190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/496190
Therefore, the GCF of Fractions 3212/841,3784/590 is 44/496190
Least Common Multiple of 841,590 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 841,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,590) x common factors =1 x 1 = 1
LCM(841,590) = ( 841 × 590 ) / 1
LCM(841,590) = 496190 / 1
LCM(841,590) = 496190
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FAQs on GCF of Fractions of 3212/841, 3784/590
1. What is the HCF of 3212,3784?
The HCF of 3212,3784 is 44
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 3212/841, 3784/590?
Answer: GCF of Numerators as per given numbers 3212/841, 3784/590 is
GCF of Numerators i.e. for 3212,3784 is 44
LCM of denominators i.e. for 841,590 is 496190.
Thus, GCF of Fractions is 44/496190.Finally, GCF of Fractions for 3212/841, 3784/590 is 44/496190.