GCF of 91/78, 627/81, 910/754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/78, 627/81, 910/754 i.e 1/61074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/78, 627/81, 910/754.
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 91/78,627/81,910/754?
Given fractions are 91/78,627/81,910/754
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 91/78,627/81,910/754, numerators are 91,627,910
Denominators are 78,81,754
The GCF of 91,627,910 is 1 .
LCM of 78,81,754 is 61074.
The greatest common factor of 91/78,627/81,910/754 = [GCF of 91,627,910]/[LCM of 78,81,754]= 1/61074
Therefore, the GCF of 91/78,627/81,910/754 is 1/61074.
To find the highest common factor of 91,627,910, we have to find the factors of both numbers and list the highest common factor.
The factors of 91 are 1, 7, 13, 91
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The HCF of 91,627,910 is 1.
Lets's calculate GCF of 91,627,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 91,627,910 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 91,627,910 . The biggest common factor number is the GCF number.
So the greatest common factor 91,627,910 is 1.
Lets's calculate LCM of 78,81,754
| 2 | 78, 81, 754 |
| 3 | 39, 81, 377 |
| 13 | 13, 27, 377 |
| 1, 27, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 27 x 29 = 61074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61074
Therefore, the GCF of Fractions 91/78,627/81,910/754 is 1/61074
Least Common Multiple of 78,81,754 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 78,81,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,81,754) = 1
common factors(in case of two or more numbers have common factors) = 78
GCF(78,81,754) x common factors =1 x 78 = 78
LCM(78,81,754) = ( 78 × 81 × 754 ) / 78
LCM(78,81,754) = 4763772 / 78
LCM(78,81,754) = 61074
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FAQs on GCF of Fractions of 91/78, 627/81, 910/754
1. What is the HCF of 91,627,910?
The HCF of 91,627,910 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 91/78, 627/81, 910/754?
Answer: GCF of Numerators as per given numbers 91/78, 627/81, 910/754 is
GCF of Numerators i.e. for 91,627,910 is 1
LCM of denominators i.e. for 78,81,754 is 61074.
Thus, GCF of Fractions is 1/61074.Finally, GCF of Fractions for 91/78, 627/81, 910/754 is 1/61074.