GCF of 3656/589, 2778/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3656/589, 2778/161 i.e 2/94829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3656/589, 2778/161.
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 3656/589,2778/161?
Given fractions are 3656/589,2778/161
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 3656/589,2778/161, numerators are 3656,2778
Denominators are 589,161
The GCF of 3656,2778 is 2 .
LCM of 589,161 is 94829.
The greatest common factor of 3656/589,2778/161 = [GCF of 3656,2778]/[LCM of 589,161]= 2/94829
Therefore, the GCF of 3656/589,2778/161 is 2/94829.
To find the highest common factor of 3656,2778, we have to find the factors of both numbers and list the highest common factor.
The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656
The factors of 2778 are 1, 2, 3, 6, 463, 926, 1389, 2778
The HCF of 3656,2778 is 2.
Lets's calculate GCF of 3656,2778
| 2 | 3656, 2778 |
| 1828, 1389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3656,2778 By Matching Biggest Common Factor Method
Now, list down the factors of 3656
:1,2,4,8,457,914,1828,3656
Now, list down the factors of 2778
:1,2,3,6,463,926,1389,2778
Greatest Common Factor
We found the factors 3656,2778 . The biggest common factor number is the GCF number.
So the greatest common factor 3656,2778 is 2.
Lets's calculate LCM of 589,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 94829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94829
Therefore, the GCF of Fractions 3656/589,2778/161 is 2/94829
Least Common Multiple of 589,161 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 589,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,161) x common factors =1 x 1 = 1
LCM(589,161) = ( 589 × 161 ) / 1
LCM(589,161) = 94829 / 1
LCM(589,161) = 94829
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FAQs on GCF of Fractions of 3656/589, 2778/161
1. What is the HCF of 3656,2778?
The HCF of 3656,2778 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 3656/589, 2778/161?
Answer: GCF of Numerators as per given numbers 3656/589, 2778/161 is
GCF of Numerators i.e. for 3656,2778 is 2
LCM of denominators i.e. for 589,161 is 94829.
Thus, GCF of Fractions is 2/94829.Finally, GCF of Fractions for 3656/589, 2778/161 is 2/94829.