GCF of 3677/894, 5684/6009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3677/894, 5684/6009 i.e 1/1790682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3677/894, 5684/6009.
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 3677/894,5684/6009?
Given fractions are 3677/894,5684/6009
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 3677/894,5684/6009, numerators are 3677,5684
Denominators are 894,6009
The GCF of 3677,5684 is 1 .
LCM of 894,6009 is 1790682.
The greatest common factor of 3677/894,5684/6009 = [GCF of 3677,5684]/[LCM of 894,6009]= 1/1790682
Therefore, the GCF of 3677/894,5684/6009 is 1/1790682.
To find the highest common factor of 3677,5684, we have to find the factors of both numbers and list the highest common factor.
The factors of 3677 are 1, 3677
The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684
The HCF of 3677,5684 is 1.
Lets's calculate GCF of 3677,5684
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3677,5684 By Matching Biggest Common Factor Method
Now, list down the factors of 3677
:1,3677
Now, list down the factors of 5684
:1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684
Greatest Common Factor
We found the factors 3677,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 3677,5684 is 1.
Lets's calculate LCM of 894,6009
| 3 | 894, 6009 |
| 298, 2003 |
∴ So the LCM of the given numbers is 3 x 298 x 2003 = 1790682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1790682
Therefore, the GCF of Fractions 3677/894,5684/6009 is 1/1790682
Least Common Multiple of 894,6009 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 894,6009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,6009) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(894,6009) x common factors =3 x 1 = 3
LCM(894,6009) = ( 894 × 6009 ) / 3
LCM(894,6009) = 5372046 / 3
LCM(894,6009) = 1790682
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FAQs on GCF of Fractions of 3677/894, 5684/6009
1. What is the HCF of 3677,5684?
The HCF of 3677,5684 is 1
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 3677/894, 5684/6009?
Answer: GCF of Numerators as per given numbers 3677/894, 5684/6009 is
GCF of Numerators i.e. for 3677,5684 is 1
LCM of denominators i.e. for 894,6009 is 1790682.
Thus, GCF of Fractions is 1/1790682.Finally, GCF of Fractions for 3677/894, 5684/6009 is 1/1790682.