GCF of 187/174, 670/798, 813/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 187/174, 670/798, 813/290 i.e 1/115710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/174, 670/798, 813/290.
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 187/174,670/798,813/290?
Given fractions are 187/174,670/798,813/290
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 187/174,670/798,813/290, numerators are 187,670,813
Denominators are 174,798,290
The GCF of 187,670,813 is 1 .
LCM of 174,798,290 is 115710.
The greatest common factor of 187/174,670/798,813/290 = [GCF of 187,670,813]/[LCM of 174,798,290]= 1/115710
Therefore, the GCF of 187/174,670/798,813/290 is 1/115710.
To find the highest common factor of 187,670,813, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The factors of 813 are 1, 3, 271, 813
The HCF of 187,670,813 is 1.
Lets's calculate GCF of 187,670,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 187,670,813 By Matching Biggest Common Factor Method
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Now, list down the factors of 813
:1,3,271,813
Greatest Common Factor
We found the factors 187,670,813 . The biggest common factor number is the GCF number.
So the greatest common factor 187,670,813 is 1.
Lets's calculate LCM of 174,798,290
| 2 | 174, 798, 290 |
| 3 | 87, 399, 145 |
| 29 | 29, 133, 145 |
| 1, 133, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 133 x 5 = 115710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115710
Therefore, the GCF of Fractions 187/174,670/798,813/290 is 1/115710
Least Common Multiple of 174,798,290 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 174,798,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,798,290) = 2
common factors(in case of two or more numbers have common factors) = 174
GCF(174,798,290) x common factors =2 x 174 = 348
LCM(174,798,290) = ( 174 × 798 × 290 ) / 348
LCM(174,798,290) = 40267080 / 348
LCM(174,798,290) = 115710
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 187/174, 670/798, 813/290
1. What is the HCF of 187,670,813?
The HCF of 187,670,813 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 187/174, 670/798, 813/290?
Answer: GCF of Numerators as per given numbers 187/174, 670/798, 813/290 is
GCF of Numerators i.e. for 187,670,813 is 1
LCM of denominators i.e. for 174,798,290 is 115710.
Thus, GCF of Fractions is 1/115710.Finally, GCF of Fractions for 187/174, 670/798, 813/290 is 1/115710.