GCF of 52/173, 9208/7086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 52/173, 9208/7086 i.e 4/1225878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/173, 9208/7086.
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 52/173,9208/7086?
Given fractions are 52/173,9208/7086
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 52/173,9208/7086, numerators are 52,9208
Denominators are 173,7086
The GCF of 52,9208 is 4 .
LCM of 173,7086 is 1225878.
The greatest common factor of 52/173,9208/7086 = [GCF of 52,9208]/[LCM of 173,7086]= 4/1225878
Therefore, the GCF of 52/173,9208/7086 is 4/1225878.
To find the highest common factor of 52,9208, we have to find the factors of both numbers and list the highest common factor.
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The HCF of 52,9208 is 4.
Lets's calculate GCF of 52,9208
| 2 | 52, 9208 |
| 2 | 26, 4604 |
| 13, 2302 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 52,9208 By Matching Biggest Common Factor Method
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 52,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9208 is 4.
Lets's calculate LCM of 173,7086
Given numbers has no common factors except 1. So, there LCM is their product i.e 1225878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1225878
Therefore, the GCF of Fractions 52/173,9208/7086 is 4/1225878
Least Common Multiple of 173,7086 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 173,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,7086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,7086) x common factors =1 x 1 = 1
LCM(173,7086) = ( 173 × 7086 ) / 1
LCM(173,7086) = 1225878 / 1
LCM(173,7086) = 1225878
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FAQs on GCF of Fractions of 52/173, 9208/7086
1. What is the HCF of 52,9208?
The HCF of 52,9208 is 4
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 52/173, 9208/7086?
Answer: GCF of Numerators as per given numbers 52/173, 9208/7086 is
GCF of Numerators i.e. for 52,9208 is 4
LCM of denominators i.e. for 173,7086 is 1225878.
Thus, GCF of Fractions is 4/1225878.Finally, GCF of Fractions for 52/173, 9208/7086 is 4/1225878.