GCF of 581/67, 420/8034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 581/67, 420/8034 i.e 7/538278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/67, 420/8034.
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 581/67,420/8034?
Given fractions are 581/67,420/8034
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 581/67,420/8034, numerators are 581,420
Denominators are 67,8034
The GCF of 581,420 is 7 .
LCM of 67,8034 is 538278.
The greatest common factor of 581/67,420/8034 = [GCF of 581,420]/[LCM of 67,8034]= 7/538278
Therefore, the GCF of 581/67,420/8034 is 7/538278.
To find the highest common factor of 581,420, 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 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 581,420 is 7.
Lets's calculate GCF of 581,420
| 7 | 581, 420 |
| 83, 60 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 581,420 By Matching Biggest Common Factor Method
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 581,420 . The biggest common factor number is the GCF number.
So the greatest common factor 581,420 is 7.
Lets's calculate LCM of 67,8034
Given numbers has no common factors except 1. So, there LCM is their product i.e 538278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/538278
Therefore, the GCF of Fractions 581/67,420/8034 is 7/538278
Least Common Multiple of 67,8034 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 67,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,8034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,8034) x common factors =1 x 1 = 1
LCM(67,8034) = ( 67 × 8034 ) / 1
LCM(67,8034) = 538278 / 1
LCM(67,8034) = 538278
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FAQs on GCF of Fractions of 581/67, 420/8034
1. What is the HCF of 581,420?
The HCF of 581,420 is 7
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 581/67, 420/8034?
Answer: GCF of Numerators as per given numbers 581/67, 420/8034 is
GCF of Numerators i.e. for 581,420 is 7
LCM of denominators i.e. for 67,8034 is 538278.
Thus, GCF of Fractions is 7/538278.Finally, GCF of Fractions for 581/67, 420/8034 is 7/538278.