GCF of 91/63, 673/11, 917/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/63, 673/11, 917/675 i.e 1/51975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/63, 673/11, 917/675.
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 91/63,673/11,917/675?
Given fractions are 91/63,673/11,917/675
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 91/63,673/11,917/675, numerators are 91,673,917
Denominators are 63,11,675
The GCF of 91,673,917 is 1 .
LCM of 63,11,675 is 51975.
The greatest common factor of 91/63,673/11,917/675 = [GCF of 91,673,917]/[LCM of 63,11,675]= 1/51975
Therefore, the GCF of 91/63,673/11,917/675 is 1/51975.
To find the highest common factor of 91,673,917, 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 673 are 1, 673
The factors of 917 are 1, 7, 131, 917
The HCF of 91,673,917 is 1.
Lets's calculate GCF of 91,673,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 91,673,917 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 673
:1,673
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 91,673,917 . The biggest common factor number is the GCF number.
So the greatest common factor 91,673,917 is 1.
Lets's calculate LCM of 63,11,675
| 3 | 63, 11, 675 |
| 3 | 21, 11, 225 |
| 7, 11, 75 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 11 x 75 = 51975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51975
Therefore, the GCF of Fractions 91/63,673/11,917/675 is 1/51975
Least Common Multiple of 63,11,675 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 63,11,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,11,675) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(63,11,675) x common factors =1 x 9 = 9
LCM(63,11,675) = ( 63 × 11 × 675 ) / 9
LCM(63,11,675) = 467775 / 9
LCM(63,11,675) = 51975
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FAQs on GCF of Fractions of 91/63, 673/11, 917/675
1. What is the HCF of 91,673,917?
The HCF of 91,673,917 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 91/63, 673/11, 917/675?
Answer: GCF of Numerators as per given numbers 91/63, 673/11, 917/675 is
GCF of Numerators i.e. for 91,673,917 is 1
LCM of denominators i.e. for 63,11,675 is 51975.
Thus, GCF of Fractions is 1/51975.Finally, GCF of Fractions for 91/63, 673/11, 917/675 is 1/51975.