GCF of 9073/974, 7086/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9073/974, 7086/922 i.e 1/449014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9073/974, 7086/922.
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 9073/974,7086/922?
Given fractions are 9073/974,7086/922
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 9073/974,7086/922, numerators are 9073,7086
Denominators are 974,922
The GCF of 9073,7086 is 1 .
LCM of 974,922 is 449014.
The greatest common factor of 9073/974,7086/922 = [GCF of 9073,7086]/[LCM of 974,922]= 1/449014
Therefore, the GCF of 9073/974,7086/922 is 1/449014.
To find the highest common factor of 9073,7086, we have to find the factors of both numbers and list the highest common factor.
The factors of 9073 are 1, 43, 211, 9073
The factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086
The HCF of 9073,7086 is 1.
Lets's calculate GCF of 9073,7086
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9073,7086 By Matching Biggest Common Factor Method
Now, list down the factors of 9073
:1,43,211,9073
Now, list down the factors of 7086
:1,2,3,6,1181,2362,3543,7086
Greatest Common Factor
We found the factors 9073,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 9073,7086 is 1.
Lets's calculate LCM of 974,922
| 2 | 974, 922 |
| 487, 461 |
∴ So the LCM of the given numbers is 2 x 487 x 461 = 449014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449014
Therefore, the GCF of Fractions 9073/974,7086/922 is 1/449014
Least Common Multiple of 974,922 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 974,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,922) x common factors =2 x 1 = 2
LCM(974,922) = ( 974 × 922 ) / 2
LCM(974,922) = 898028 / 2
LCM(974,922) = 449014
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FAQs on GCF of Fractions of 9073/974, 7086/922
1. What is the HCF of 9073,7086?
The HCF of 9073,7086 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 9073/974, 7086/922?
Answer: GCF of Numerators as per given numbers 9073/974, 7086/922 is
GCF of Numerators i.e. for 9073,7086 is 1
LCM of denominators i.e. for 974,922 is 449014.
Thus, GCF of Fractions is 1/449014.Finally, GCF of Fractions for 9073/974, 7086/922 is 1/449014.