GCF of 8368/281, 1555/4529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8368/281, 1555/4529 i.e 1/1272649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8368/281, 1555/4529.
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 8368/281,1555/4529?
Given fractions are 8368/281,1555/4529
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 8368/281,1555/4529, numerators are 8368,1555
Denominators are 281,4529
The GCF of 8368,1555 is 1 .
LCM of 281,4529 is 1272649.
The greatest common factor of 8368/281,1555/4529 = [GCF of 8368,1555]/[LCM of 281,4529]= 1/1272649
Therefore, the GCF of 8368/281,1555/4529 is 1/1272649.
To find the highest common factor of 8368,1555, we have to find the factors of both numbers and list the highest common factor.
The factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368
The factors of 1555 are 1, 5, 311, 1555
The HCF of 8368,1555 is 1.
Lets's calculate GCF of 8368,1555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8368,1555 By Matching Biggest Common Factor Method
Now, list down the factors of 8368
:1,2,4,8,16,523,1046,2092,4184,8368
Now, list down the factors of 1555
:1,5,311,1555
Greatest Common Factor
We found the factors 8368,1555 . The biggest common factor number is the GCF number.
So the greatest common factor 8368,1555 is 1.
Lets's calculate LCM of 281,4529
Given numbers has no common factors except 1. So, there LCM is their product i.e 1272649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1272649
Therefore, the GCF of Fractions 8368/281,1555/4529 is 1/1272649
Least Common Multiple of 281,4529 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 281,4529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,4529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,4529) x common factors =1 x 1 = 1
LCM(281,4529) = ( 281 × 4529 ) / 1
LCM(281,4529) = 1272649 / 1
LCM(281,4529) = 1272649
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FAQs on GCF of Fractions of 8368/281, 1555/4529
1. What is the HCF of 8368,1555?
The HCF of 8368,1555 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 8368/281, 1555/4529?
Answer: GCF of Numerators as per given numbers 8368/281, 1555/4529 is
GCF of Numerators i.e. for 8368,1555 is 1
LCM of denominators i.e. for 281,4529 is 1272649.
Thus, GCF of Fractions is 1/1272649.Finally, GCF of Fractions for 8368/281, 1555/4529 is 1/1272649.