GCF of 9140/314, 7269/7027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9140/314, 7269/7027 i.e 1/2206478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9140/314, 7269/7027.
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 9140/314,7269/7027?
Given fractions are 9140/314,7269/7027
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 9140/314,7269/7027, numerators are 9140,7269
Denominators are 314,7027
The GCF of 9140,7269 is 1 .
LCM of 314,7027 is 2206478.
The greatest common factor of 9140/314,7269/7027 = [GCF of 9140,7269]/[LCM of 314,7027]= 1/2206478
Therefore, the GCF of 9140/314,7269/7027 is 1/2206478.
To find the highest common factor of 9140,7269, we have to find the factors of both numbers and list the highest common factor.
The factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140
The factors of 7269 are 1, 3, 2423, 7269
The HCF of 9140,7269 is 1.
Lets's calculate GCF of 9140,7269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9140,7269 By Matching Biggest Common Factor Method
Now, list down the factors of 9140
:1,2,4,5,10,20,457,914,1828,2285,4570,9140
Now, list down the factors of 7269
:1,3,2423,7269
Greatest Common Factor
We found the factors 9140,7269 . The biggest common factor number is the GCF number.
So the greatest common factor 9140,7269 is 1.
Lets's calculate LCM of 314,7027
Given numbers has no common factors except 1. So, there LCM is their product i.e 2206478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2206478
Therefore, the GCF of Fractions 9140/314,7269/7027 is 1/2206478
Least Common Multiple of 314,7027 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 314,7027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,7027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,7027) x common factors =1 x 1 = 1
LCM(314,7027) = ( 314 × 7027 ) / 1
LCM(314,7027) = 2206478 / 1
LCM(314,7027) = 2206478
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FAQs on GCF of Fractions of 9140/314, 7269/7027
1. What is the HCF of 9140,7269?
The HCF of 9140,7269 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 9140/314, 7269/7027?
Answer: GCF of Numerators as per given numbers 9140/314, 7269/7027 is
GCF of Numerators i.e. for 9140,7269 is 1
LCM of denominators i.e. for 314,7027 is 2206478.
Thus, GCF of Fractions is 1/2206478.Finally, GCF of Fractions for 9140/314, 7269/7027 is 1/2206478.