GCF of 581/40, 638/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 581/40, 638/170 i.e 1/680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/40, 638/170.
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 581/40,638/170?
Given fractions are 581/40,638/170
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 581/40,638/170, numerators are 581,638
Denominators are 40,170
The GCF of 581,638 is 1 .
LCM of 40,170 is 680.
The greatest common factor of 581/40,638/170 = [GCF of 581,638]/[LCM of 40,170]= 1/680
Therefore, the GCF of 581/40,638/170 is 1/680.
To find the highest common factor of 581,638, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The HCF of 581,638 is 1.
Lets's calculate GCF of 581,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 581,638 By Matching Biggest Common Factor Method
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 581,638 . The biggest common factor number is the GCF number.
So the greatest common factor 581,638 is 1.
Lets's calculate LCM of 40,170
| 2 | 40, 170 |
| 5 | 20, 85 |
| 4, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 4 x 17 = 680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680
Therefore, the GCF of Fractions 581/40,638/170 is 1/680
Least Common Multiple of 40,170 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 40,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(40,170) x common factors =10 x 1 = 10
LCM(40,170) = ( 40 × 170 ) / 10
LCM(40,170) = 6800 / 10
LCM(40,170) = 680
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FAQs on GCF of Fractions of 581/40, 638/170
1. What is the HCF of 581,638?
The HCF of 581,638 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 581/40, 638/170?
Answer: GCF of Numerators as per given numbers 581/40, 638/170 is
GCF of Numerators i.e. for 581,638 is 1
LCM of denominators i.e. for 40,170 is 680.
Thus, GCF of Fractions is 1/680.Finally, GCF of Fractions for 581/40, 638/170 is 1/680.