GCF of 4391/683, 2227/9924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4391/683, 2227/9924 i.e 1/6778092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4391/683, 2227/9924.
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 4391/683,2227/9924?
Given fractions are 4391/683,2227/9924
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 4391/683,2227/9924, numerators are 4391,2227
Denominators are 683,9924
The GCF of 4391,2227 is 1 .
LCM of 683,9924 is 6778092.
The greatest common factor of 4391/683,2227/9924 = [GCF of 4391,2227]/[LCM of 683,9924]= 1/6778092
Therefore, the GCF of 4391/683,2227/9924 is 1/6778092.
To find the highest common factor of 4391,2227, we have to find the factors of both numbers and list the highest common factor.
The factors of 4391 are 1, 4391
The factors of 2227 are 1, 17, 131, 2227
The HCF of 4391,2227 is 1.
Lets's calculate GCF of 4391,2227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4391,2227 By Matching Biggest Common Factor Method
Now, list down the factors of 4391
:1,4391
Now, list down the factors of 2227
:1,17,131,2227
Greatest Common Factor
We found the factors 4391,2227 . The biggest common factor number is the GCF number.
So the greatest common factor 4391,2227 is 1.
Lets's calculate LCM of 683,9924
Given numbers has no common factors except 1. So, there LCM is their product i.e 6778092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6778092
Therefore, the GCF of Fractions 4391/683,2227/9924 is 1/6778092
Least Common Multiple of 683,9924 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 683,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,9924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,9924) x common factors =1 x 1 = 1
LCM(683,9924) = ( 683 × 9924 ) / 1
LCM(683,9924) = 6778092 / 1
LCM(683,9924) = 6778092
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FAQs on GCF of Fractions of 4391/683, 2227/9924
1. What is the HCF of 4391,2227?
The HCF of 4391,2227 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 4391/683, 2227/9924?
Answer: GCF of Numerators as per given numbers 4391/683, 2227/9924 is
GCF of Numerators i.e. for 4391,2227 is 1
LCM of denominators i.e. for 683,9924 is 6778092.
Thus, GCF of Fractions is 1/6778092.Finally, GCF of Fractions for 4391/683, 2227/9924 is 1/6778092.