GCF of 9214/277, 5301/9072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9214/277, 5301/9072 i.e 1/2512944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9214/277, 5301/9072.
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 9214/277,5301/9072?
Given fractions are 9214/277,5301/9072
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 9214/277,5301/9072, numerators are 9214,5301
Denominators are 277,9072
The GCF of 9214,5301 is 1 .
LCM of 277,9072 is 2512944.
The greatest common factor of 9214/277,5301/9072 = [GCF of 9214,5301]/[LCM of 277,9072]= 1/2512944
Therefore, the GCF of 9214/277,5301/9072 is 1/2512944.
To find the highest common factor of 9214,5301, we have to find the factors of both numbers and list the highest common factor.
The factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214
The factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301
The HCF of 9214,5301 is 1.
Lets's calculate GCF of 9214,5301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9214,5301 By Matching Biggest Common Factor Method
Now, list down the factors of 9214
:1,2,17,34,271,542,4607,9214
Now, list down the factors of 5301
:1,3,9,19,31,57,93,171,279,589,1767,5301
Greatest Common Factor
We found the factors 9214,5301 . The biggest common factor number is the GCF number.
So the greatest common factor 9214,5301 is 1.
Lets's calculate LCM of 277,9072
Given numbers has no common factors except 1. So, there LCM is their product i.e 2512944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2512944
Therefore, the GCF of Fractions 9214/277,5301/9072 is 1/2512944
Least Common Multiple of 277,9072 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 277,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,9072) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,9072) x common factors =1 x 1 = 1
LCM(277,9072) = ( 277 × 9072 ) / 1
LCM(277,9072) = 2512944 / 1
LCM(277,9072) = 2512944
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FAQs on GCF of Fractions of 9214/277, 5301/9072
1. What is the HCF of 9214,5301?
The HCF of 9214,5301 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 9214/277, 5301/9072?
Answer: GCF of Numerators as per given numbers 9214/277, 5301/9072 is
GCF of Numerators i.e. for 9214,5301 is 1
LCM of denominators i.e. for 277,9072 is 2512944.
Thus, GCF of Fractions is 1/2512944.Finally, GCF of Fractions for 9214/277, 5301/9072 is 1/2512944.