GCF of 91/708, 74/670, 255/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/708, 74/670, 255/981 i.e 1/77557860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/708, 74/670, 255/981.
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 91/708,74/670,255/981?
Given fractions are 91/708,74/670,255/981
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 91/708,74/670,255/981, numerators are 91,74,255
Denominators are 708,670,981
The GCF of 91,74,255 is 1 .
LCM of 708,670,981 is 77557860.
The greatest common factor of 91/708,74/670,255/981 = [GCF of 91,74,255]/[LCM of 708,670,981]= 1/77557860
Therefore, the GCF of 91/708,74/670,255/981 is 1/77557860.
To find the highest common factor of 91,74,255, 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 74 are 1, 2, 37, 74
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 91,74,255 is 1.
Lets's calculate GCF of 91,74,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 91,74,255 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 91,74,255 . The biggest common factor number is the GCF number.
So the greatest common factor 91,74,255 is 1.
Lets's calculate LCM of 708,670,981
| 2 | 708, 670, 981 |
| 3 | 354, 335, 981 |
| 118, 335, 327 |
∴ So the LCM of the given numbers is 2 x 3 x 118 x 335 x 327 = 77557860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77557860
Therefore, the GCF of Fractions 91/708,74/670,255/981 is 1/77557860
Least Common Multiple of 708,670,981 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 708,670,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,670,981) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(708,670,981) x common factors =1 x 6 = 6
LCM(708,670,981) = ( 708 × 670 × 981 ) / 6
LCM(708,670,981) = 465347160 / 6
LCM(708,670,981) = 77557860
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 91/708, 74/670, 255/981
1. What is the HCF of 91,74,255?
The HCF of 91,74,255 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 91/708, 74/670, 255/981?
Answer: GCF of Numerators as per given numbers 91/708, 74/670, 255/981 is
GCF of Numerators i.e. for 91,74,255 is 1
LCM of denominators i.e. for 708,670,981 is 77557860.
Thus, GCF of Fractions is 1/77557860.Finally, GCF of Fractions for 91/708, 74/670, 255/981 is 1/77557860.