GCF of 174/91, 639/8198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 174/91, 639/8198 i.e 3/746018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/91, 639/8198.
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 174/91,639/8198?
Given fractions are 174/91,639/8198
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 174/91,639/8198, numerators are 174,639
Denominators are 91,8198
The GCF of 174,639 is 3 .
LCM of 91,8198 is 746018.
The greatest common factor of 174/91,639/8198 = [GCF of 174,639]/[LCM of 91,8198]= 3/746018
Therefore, the GCF of 174/91,639/8198 is 3/746018.
To find the highest common factor of 174,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 174,639 is 3.
Lets's calculate GCF of 174,639
| 3 | 174, 639 |
| 58, 213 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 174,639 By Matching Biggest Common Factor Method
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 174,639 . The biggest common factor number is the GCF number.
So the greatest common factor 174,639 is 3.
Lets's calculate LCM of 91,8198
Given numbers has no common factors except 1. So, there LCM is their product i.e 746018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/746018
Therefore, the GCF of Fractions 174/91,639/8198 is 3/746018
Least Common Multiple of 91,8198 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 91,8198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,8198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,8198) x common factors =1 x 1 = 1
LCM(91,8198) = ( 91 × 8198 ) / 1
LCM(91,8198) = 746018 / 1
LCM(91,8198) = 746018
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 174/91, 639/8198
1. What is the HCF of 174,639?
The HCF of 174,639 is 3
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 174/91, 639/8198?
Answer: GCF of Numerators as per given numbers 174/91, 639/8198 is
GCF of Numerators i.e. for 174,639 is 3
LCM of denominators i.e. for 91,8198 is 746018.
Thus, GCF of Fractions is 3/746018.Finally, GCF of Fractions for 174/91, 639/8198 is 3/746018.