GCF of 34/859, 23/584, 443/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/859, 23/584, 443/117 i.e 1/58693752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/859, 23/584, 443/117.
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 34/859,23/584,443/117?
Given fractions are 34/859,23/584,443/117
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 34/859,23/584,443/117, numerators are 34,23,443
Denominators are 859,584,117
The GCF of 34,23,443 is 1 .
LCM of 859,584,117 is 58693752.
The greatest common factor of 34/859,23/584,443/117 = [GCF of 34,23,443]/[LCM of 859,584,117]= 1/58693752
Therefore, the GCF of 34/859,23/584,443/117 is 1/58693752.
To find the highest common factor of 34,23,443, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 23 are 1, 23
The factors of 443 are 1, 443
The HCF of 34,23,443 is 1.
Lets's calculate GCF of 34,23,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,23,443 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 23
:1,23
Now, list down the factors of 443
:1,443
Greatest Common Factor
We found the factors 34,23,443 . The biggest common factor number is the GCF number.
So the greatest common factor 34,23,443 is 1.
Lets's calculate LCM of 859,584,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 58693752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58693752
Therefore, the GCF of Fractions 34/859,23/584,443/117 is 1/58693752
Least Common Multiple of 859,584,117 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 859,584,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,584,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,584,117) x common factors =1 x 1 = 1
LCM(859,584,117) = ( 859 × 584 × 117 ) / 1
LCM(859,584,117) = 58693752 / 1
LCM(859,584,117) = 58693752
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FAQs on GCF of Fractions of 34/859, 23/584, 443/117
1. What is the HCF of 34,23,443?
The HCF of 34,23,443 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 34/859, 23/584, 443/117?
Answer: GCF of Numerators as per given numbers 34/859, 23/584, 443/117 is
GCF of Numerators i.e. for 34,23,443 is 1
LCM of denominators i.e. for 859,584,117 is 58693752.
Thus, GCF of Fractions is 1/58693752.Finally, GCF of Fractions for 34/859, 23/584, 443/117 is 1/58693752.