GCF of 5443/367, 7772/7181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5443/367, 7772/7181 i.e 1/2635427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5443/367, 7772/7181.
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 5443/367,7772/7181?
Given fractions are 5443/367,7772/7181
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 5443/367,7772/7181, numerators are 5443,7772
Denominators are 367,7181
The GCF of 5443,7772 is 1 .
LCM of 367,7181 is 2635427.
The greatest common factor of 5443/367,7772/7181 = [GCF of 5443,7772]/[LCM of 367,7181]= 1/2635427
Therefore, the GCF of 5443/367,7772/7181 is 1/2635427.
To find the highest common factor of 5443,7772, we have to find the factors of both numbers and list the highest common factor.
The factors of 5443 are 1, 5443
The factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772
The HCF of 5443,7772 is 1.
Lets's calculate GCF of 5443,7772
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5443,7772 By Matching Biggest Common Factor Method
Now, list down the factors of 5443
:1,5443
Now, list down the factors of 7772
:1,2,4,29,58,67,116,134,268,1943,3886,7772
Greatest Common Factor
We found the factors 5443,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 5443,7772 is 1.
Lets's calculate LCM of 367,7181
Given numbers has no common factors except 1. So, there LCM is their product i.e 2635427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2635427
Therefore, the GCF of Fractions 5443/367,7772/7181 is 1/2635427
Least Common Multiple of 367,7181 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 367,7181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,7181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,7181) x common factors =1 x 1 = 1
LCM(367,7181) = ( 367 × 7181 ) / 1
LCM(367,7181) = 2635427 / 1
LCM(367,7181) = 2635427
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FAQs on GCF of Fractions of 5443/367, 7772/7181
1. What is the HCF of 5443,7772?
The HCF of 5443,7772 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 5443/367, 7772/7181?
Answer: GCF of Numerators as per given numbers 5443/367, 7772/7181 is
GCF of Numerators i.e. for 5443,7772 is 1
LCM of denominators i.e. for 367,7181 is 2635427.
Thus, GCF of Fractions is 1/2635427.Finally, GCF of Fractions for 5443/367, 7772/7181 is 1/2635427.