GCF of 3646/938, 4770/3769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3646/938, 4770/3769 i.e 2/3535322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3646/938, 4770/3769.
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 3646/938,4770/3769?
Given fractions are 3646/938,4770/3769
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 3646/938,4770/3769, numerators are 3646,4770
Denominators are 938,3769
The GCF of 3646,4770 is 2 .
LCM of 938,3769 is 3535322.
The greatest common factor of 3646/938,4770/3769 = [GCF of 3646,4770]/[LCM of 938,3769]= 2/3535322
Therefore, the GCF of 3646/938,4770/3769 is 2/3535322.
To find the highest common factor of 3646,4770, we have to find the factors of both numbers and list the highest common factor.
The factors of 3646 are 1, 2, 1823, 3646
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The HCF of 3646,4770 is 2.
Lets's calculate GCF of 3646,4770
| 2 | 3646, 4770 |
| 1823, 2385 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3646,4770 By Matching Biggest Common Factor Method
Now, list down the factors of 3646
:1,2,1823,3646
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Greatest Common Factor
We found the factors 3646,4770 . The biggest common factor number is the GCF number.
So the greatest common factor 3646,4770 is 2.
Lets's calculate LCM of 938,3769
Given numbers has no common factors except 1. So, there LCM is their product i.e 3535322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3535322
Therefore, the GCF of Fractions 3646/938,4770/3769 is 2/3535322
Least Common Multiple of 938,3769 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 938,3769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,3769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,3769) x common factors =1 x 1 = 1
LCM(938,3769) = ( 938 × 3769 ) / 1
LCM(938,3769) = 3535322 / 1
LCM(938,3769) = 3535322
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FAQs on GCF of Fractions of 3646/938, 4770/3769
1. What is the HCF of 3646,4770?
The HCF of 3646,4770 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 3646/938, 4770/3769?
Answer: GCF of Numerators as per given numbers 3646/938, 4770/3769 is
GCF of Numerators i.e. for 3646,4770 is 2
LCM of denominators i.e. for 938,3769 is 3535322.
Thus, GCF of Fractions is 2/3535322.Finally, GCF of Fractions for 3646/938, 4770/3769 is 2/3535322.