GCF of 9077/580, 9022/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9077/580, 9022/597 i.e 1/346260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9077/580, 9022/597.
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 9077/580,9022/597?
Given fractions are 9077/580,9022/597
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 9077/580,9022/597, numerators are 9077,9022
Denominators are 580,597
The GCF of 9077,9022 is 1 .
LCM of 580,597 is 346260.
The greatest common factor of 9077/580,9022/597 = [GCF of 9077,9022]/[LCM of 580,597]= 1/346260
Therefore, the GCF of 9077/580,9022/597 is 1/346260.
To find the highest common factor of 9077,9022, we have to find the factors of both numbers and list the highest common factor.
The factors of 9077 are 1, 29, 313, 9077
The factors of 9022 are 1, 2, 13, 26, 347, 694, 4511, 9022
The HCF of 9077,9022 is 1.
Lets's calculate GCF of 9077,9022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9077,9022 By Matching Biggest Common Factor Method
Now, list down the factors of 9077
:1,29,313,9077
Now, list down the factors of 9022
:1,2,13,26,347,694,4511,9022
Greatest Common Factor
We found the factors 9077,9022 . The biggest common factor number is the GCF number.
So the greatest common factor 9077,9022 is 1.
Lets's calculate LCM of 580,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 346260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346260
Therefore, the GCF of Fractions 9077/580,9022/597 is 1/346260
Least Common Multiple of 580,597 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 580,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,597) x common factors =1 x 1 = 1
LCM(580,597) = ( 580 × 597 ) / 1
LCM(580,597) = 346260 / 1
LCM(580,597) = 346260
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FAQs on GCF of Fractions of 9077/580, 9022/597
1. What is the HCF of 9077,9022?
The HCF of 9077,9022 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 9077/580, 9022/597?
Answer: GCF of Numerators as per given numbers 9077/580, 9022/597 is
GCF of Numerators i.e. for 9077,9022 is 1
LCM of denominators i.e. for 580,597 is 346260.
Thus, GCF of Fractions is 1/346260.Finally, GCF of Fractions for 9077/580, 9022/597 is 1/346260.