GCF of 587/69, 580/55, 671/74
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 587/69, 580/55, 671/74 i.e 1/280830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/69, 580/55, 671/74.
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 587/69,580/55,671/74?
Given fractions are 587/69,580/55,671/74
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 587/69,580/55,671/74, numerators are 587,580,671
Denominators are 69,55,74
The GCF of 587,580,671 is 1 .
LCM of 69,55,74 is 280830.
The greatest common factor of 587/69,580/55,671/74 = [GCF of 587,580,671]/[LCM of 69,55,74]= 1/280830
Therefore, the GCF of 587/69,580/55,671/74 is 1/280830.
To find the highest common factor of 587,580,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The factors of 671 are 1, 11, 61, 671
The HCF of 587,580,671 is 1.
Lets's calculate GCF of 587,580,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 587,580,671 By Matching Biggest Common Factor Method
Now, list down the factors of 587
:1,587
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 587,580,671 . The biggest common factor number is the GCF number.
So the greatest common factor 587,580,671 is 1.
Lets's calculate LCM of 69,55,74
Given numbers has no common factors except 1. So, there LCM is their product i.e 280830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280830
Therefore, the GCF of Fractions 587/69,580/55,671/74 is 1/280830
Least Common Multiple of 69,55,74 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 69,55,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,55,74) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,55,74) x common factors =1 x 1 = 1
LCM(69,55,74) = ( 69 × 55 × 74 ) / 1
LCM(69,55,74) = 280830 / 1
LCM(69,55,74) = 280830
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FAQs on GCF of Fractions of 587/69, 580/55, 671/74
1. What is the HCF of 587,580,671?
The HCF of 587,580,671 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 587/69, 580/55, 671/74?
Answer: GCF of Numerators as per given numbers 587/69, 580/55, 671/74 is
GCF of Numerators i.e. for 587,580,671 is 1
LCM of denominators i.e. for 69,55,74 is 280830.
Thus, GCF of Fractions is 1/280830.Finally, GCF of Fractions for 587/69, 580/55, 671/74 is 1/280830.