GCF of 586/873, 903/688, 719/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 586/873, 903/688, 719/155 i.e 1/93096720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 586/873, 903/688, 719/155.
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 586/873,903/688,719/155?
Given fractions are 586/873,903/688,719/155
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 586/873,903/688,719/155, numerators are 586,903,719
Denominators are 873,688,155
The GCF of 586,903,719 is 1 .
LCM of 873,688,155 is 93096720.
The greatest common factor of 586/873,903/688,719/155 = [GCF of 586,903,719]/[LCM of 873,688,155]= 1/93096720
Therefore, the GCF of 586/873,903/688,719/155 is 1/93096720.
To find the highest common factor of 586,903,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 586 are 1, 2, 293, 586
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 719 are 1, 719
The HCF of 586,903,719 is 1.
Lets's calculate GCF of 586,903,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 586,903,719 By Matching Biggest Common Factor Method
Now, list down the factors of 586
:1,2,293,586
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 586,903,719 . The biggest common factor number is the GCF number.
So the greatest common factor 586,903,719 is 1.
Lets's calculate LCM of 873,688,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 93096720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93096720
Therefore, the GCF of Fractions 586/873,903/688,719/155 is 1/93096720
Least Common Multiple of 873,688,155 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 873,688,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,688,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,688,155) x common factors =1 x 1 = 1
LCM(873,688,155) = ( 873 × 688 × 155 ) / 1
LCM(873,688,155) = 93096720 / 1
LCM(873,688,155) = 93096720
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FAQs on GCF of Fractions of 586/873, 903/688, 719/155
1. What is the HCF of 586,903,719?
The HCF of 586,903,719 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 586/873, 903/688, 719/155?
Answer: GCF of Numerators as per given numbers 586/873, 903/688, 719/155 is
GCF of Numerators i.e. for 586,903,719 is 1
LCM of denominators i.e. for 873,688,155 is 93096720.
Thus, GCF of Fractions is 1/93096720.Finally, GCF of Fractions for 586/873, 903/688, 719/155 is 1/93096720.