GCF of 619/11, 274/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 619/11, 274/187 i.e 1/187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 619/11, 274/187.
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 619/11,274/187?
Given fractions are 619/11,274/187
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 619/11,274/187, numerators are 619,274
Denominators are 11,187
The GCF of 619,274 is 1 .
LCM of 11,187 is 187.
The greatest common factor of 619/11,274/187 = [GCF of 619,274]/[LCM of 11,187]= 1/187
Therefore, the GCF of 619/11,274/187 is 1/187.
To find the highest common factor of 619,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 619 are 1, 619
The factors of 274 are 1, 2, 137, 274
The HCF of 619,274 is 1.
Lets's calculate GCF of 619,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 619,274 By Matching Biggest Common Factor Method
Now, list down the factors of 619
:1,619
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 619,274 . The biggest common factor number is the GCF number.
So the greatest common factor 619,274 is 1.
Lets's calculate LCM of 11,187
| 11 | 11, 187 |
| 1, 17 |
∴ So the LCM of the given numbers is 11 x 1 x 17 = 187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187
Therefore, the GCF of Fractions 619/11,274/187 is 1/187
Least Common Multiple of 11,187 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 11,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,187) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(11,187) x common factors =11 x 1 = 11
LCM(11,187) = ( 11 × 187 ) / 11
LCM(11,187) = 2057 / 11
LCM(11,187) = 187
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 619/11, 274/187
1. What is the HCF of 619,274?
The HCF of 619,274 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 619/11, 274/187?
Answer: GCF of Numerators as per given numbers 619/11, 274/187 is
GCF of Numerators i.e. for 619,274 is 1
LCM of denominators i.e. for 11,187 is 187.
Thus, GCF of Fractions is 1/187.Finally, GCF of Fractions for 619/11, 274/187 is 1/187.