GCF of 9290/812, 3213/9427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9290/812, 3213/9427 i.e 1/7654724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9290/812, 3213/9427.
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 9290/812,3213/9427?
Given fractions are 9290/812,3213/9427
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 9290/812,3213/9427, numerators are 9290,3213
Denominators are 812,9427
The GCF of 9290,3213 is 1 .
LCM of 812,9427 is 7654724.
The greatest common factor of 9290/812,3213/9427 = [GCF of 9290,3213]/[LCM of 812,9427]= 1/7654724
Therefore, the GCF of 9290/812,3213/9427 is 1/7654724.
To find the highest common factor of 9290,3213, we have to find the factors of both numbers and list the highest common factor.
The factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The HCF of 9290,3213 is 1.
Lets's calculate GCF of 9290,3213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9290,3213 By Matching Biggest Common Factor Method
Now, list down the factors of 9290
:1,2,5,10,929,1858,4645,9290
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 9290,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 9290,3213 is 1.
Lets's calculate LCM of 812,9427
Given numbers has no common factors except 1. So, there LCM is their product i.e 7654724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7654724
Therefore, the GCF of Fractions 9290/812,3213/9427 is 1/7654724
Least Common Multiple of 812,9427 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 812,9427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,9427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,9427) x common factors =1 x 1 = 1
LCM(812,9427) = ( 812 × 9427 ) / 1
LCM(812,9427) = 7654724 / 1
LCM(812,9427) = 7654724
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FAQs on GCF of Fractions of 9290/812, 3213/9427
1. What is the HCF of 9290,3213?
The HCF of 9290,3213 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 9290/812, 3213/9427?
Answer: GCF of Numerators as per given numbers 9290/812, 3213/9427 is
GCF of Numerators i.e. for 9290,3213 is 1
LCM of denominators i.e. for 812,9427 is 7654724.
Thus, GCF of Fractions is 1/7654724.Finally, GCF of Fractions for 9290/812, 3213/9427 is 1/7654724.