GCF of 50/173, 34/360, 870/679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/173, 34/360, 870/679 i.e 2/42288120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/173, 34/360, 870/679.
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 50/173,34/360,870/679?
Given fractions are 50/173,34/360,870/679
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 50/173,34/360,870/679, numerators are 50,34,870
Denominators are 173,360,679
The GCF of 50,34,870 is 2 .
LCM of 173,360,679 is 42288120.
The greatest common factor of 50/173,34/360,870/679 = [GCF of 50,34,870]/[LCM of 173,360,679]= 2/42288120
Therefore, the GCF of 50/173,34/360,870/679 is 2/42288120.
To find the highest common factor of 50,34,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 34 are 1, 2, 17, 34
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 50,34,870 is 2.
Lets's calculate GCF of 50,34,870
| 2 | 50, 34, 870 |
| 25, 17, 435 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 50,34,870 By Matching Biggest Common Factor Method
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 50,34,870 . The biggest common factor number is the GCF number.
So the greatest common factor 50,34,870 is 2.
Lets's calculate LCM of 173,360,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 42288120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42288120
Therefore, the GCF of Fractions 50/173,34/360,870/679 is 2/42288120
Least Common Multiple of 173,360,679 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 173,360,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,360,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,360,679) x common factors =1 x 1 = 1
LCM(173,360,679) = ( 173 × 360 × 679 ) / 1
LCM(173,360,679) = 42288120 / 1
LCM(173,360,679) = 42288120
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FAQs on GCF of Fractions of 50/173, 34/360, 870/679
1. What is the HCF of 50,34,870?
The HCF of 50,34,870 is 2
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 50/173, 34/360, 870/679?
Answer: GCF of Numerators as per given numbers 50/173, 34/360, 870/679 is
GCF of Numerators i.e. for 50,34,870 is 2
LCM of denominators i.e. for 173,360,679 is 42288120.
Thus, GCF of Fractions is 2/42288120.Finally, GCF of Fractions for 50/173, 34/360, 870/679 is 2/42288120.