GCF of 275/27, 774/195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 275/27, 774/195 i.e 1/1755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/27, 774/195.
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 275/27,774/195?
Given fractions are 275/27,774/195
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 275/27,774/195, numerators are 275,774
Denominators are 27,195
The GCF of 275,774 is 1 .
LCM of 27,195 is 1755.
The greatest common factor of 275/27,774/195 = [GCF of 275,774]/[LCM of 27,195]= 1/1755
Therefore, the GCF of 275/27,774/195 is 1/1755.
To find the highest common factor of 275,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 275,774 is 1.
Lets's calculate GCF of 275,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 275,774 By Matching Biggest Common Factor Method
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 275,774 . The biggest common factor number is the GCF number.
So the greatest common factor 275,774 is 1.
Lets's calculate LCM of 27,195
| 3 | 27, 195 |
| 9, 65 |
∴ So the LCM of the given numbers is 3 x 9 x 65 = 1755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1755
Therefore, the GCF of Fractions 275/27,774/195 is 1/1755
Least Common Multiple of 27,195 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 27,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,195) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,195) x common factors =3 x 1 = 3
LCM(27,195) = ( 27 × 195 ) / 3
LCM(27,195) = 5265 / 3
LCM(27,195) = 1755
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FAQs on GCF of Fractions of 275/27, 774/195
1. What is the HCF of 275,774?
The HCF of 275,774 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 275/27, 774/195?
Answer: GCF of Numerators as per given numbers 275/27, 774/195 is
GCF of Numerators i.e. for 275,774 is 1
LCM of denominators i.e. for 27,195 is 1755.
Thus, GCF of Fractions is 1/1755.Finally, GCF of Fractions for 275/27, 774/195 is 1/1755.