GCF of 913/90, 321/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/90, 321/117 i.e 1/1170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/90, 321/117.
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 913/90,321/117?
Given fractions are 913/90,321/117
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 913/90,321/117, numerators are 913,321
Denominators are 90,117
The GCF of 913,321 is 1 .
LCM of 90,117 is 1170.
The greatest common factor of 913/90,321/117 = [GCF of 913,321]/[LCM of 90,117]= 1/1170
Therefore, the GCF of 913/90,321/117 is 1/1170.
To find the highest common factor of 913,321, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 321 are 1, 3, 107, 321
The HCF of 913,321 is 1.
Lets's calculate GCF of 913,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 913,321 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 321
:1,3,107,321
Greatest Common Factor
We found the factors 913,321 . The biggest common factor number is the GCF number.
So the greatest common factor 913,321 is 1.
Lets's calculate LCM of 90,117
| 3 | 90, 117 |
| 3 | 30, 39 |
| 10, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 13 = 1170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1170
Therefore, the GCF of Fractions 913/90,321/117 is 1/1170
Least Common Multiple of 90,117 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 90,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,117) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(90,117) x common factors =9 x 1 = 9
LCM(90,117) = ( 90 × 117 ) / 9
LCM(90,117) = 10530 / 9
LCM(90,117) = 1170
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FAQs on GCF of Fractions of 913/90, 321/117
1. What is the HCF of 913,321?
The HCF of 913,321 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 913/90, 321/117?
Answer: GCF of Numerators as per given numbers 913/90, 321/117 is
GCF of Numerators i.e. for 913,321 is 1
LCM of denominators i.e. for 90,117 is 1170.
Thus, GCF of Fractions is 1/1170.Finally, GCF of Fractions for 913/90, 321/117 is 1/1170.