GCF of 3644/796, 3784/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3644/796, 3784/937 i.e 4/745852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3644/796, 3784/937.
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 3644/796,3784/937?
Given fractions are 3644/796,3784/937
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 3644/796,3784/937, numerators are 3644,3784
Denominators are 796,937
The GCF of 3644,3784 is 4 .
LCM of 796,937 is 745852.
The greatest common factor of 3644/796,3784/937 = [GCF of 3644,3784]/[LCM of 796,937]= 4/745852
Therefore, the GCF of 3644/796,3784/937 is 4/745852.
To find the highest common factor of 3644,3784, we have to find the factors of both numbers and list the highest common factor.
The factors of 3644 are 1, 2, 4, 911, 1822, 3644
The factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784
The HCF of 3644,3784 is 4.
Lets's calculate GCF of 3644,3784
| 2 | 3644, 3784 |
| 2 | 1822, 1892 |
| 911, 946 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3644,3784 By Matching Biggest Common Factor Method
Now, list down the factors of 3644
:1,2,4,911,1822,3644
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 3644,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 3644,3784 is 4.
Lets's calculate LCM of 796,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 745852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/745852
Therefore, the GCF of Fractions 3644/796,3784/937 is 4/745852
Least Common Multiple of 796,937 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 796,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(796,937) x common factors =1 x 1 = 1
LCM(796,937) = ( 796 × 937 ) / 1
LCM(796,937) = 745852 / 1
LCM(796,937) = 745852
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FAQs on GCF of Fractions of 3644/796, 3784/937
1. What is the HCF of 3644,3784?
The HCF of 3644,3784 is 4
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 3644/796, 3784/937?
Answer: GCF of Numerators as per given numbers 3644/796, 3784/937 is
GCF of Numerators i.e. for 3644,3784 is 4
LCM of denominators i.e. for 796,937 is 745852.
Thus, GCF of Fractions is 4/745852.Finally, GCF of Fractions for 3644/796, 3784/937 is 4/745852.