GCF of 8083/551, 3149/7400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8083/551, 3149/7400 i.e 1/4077400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8083/551, 3149/7400.
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 8083/551,3149/7400?
Given fractions are 8083/551,3149/7400
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 8083/551,3149/7400, numerators are 8083,3149
Denominators are 551,7400
The GCF of 8083,3149 is 1 .
LCM of 551,7400 is 4077400.
The greatest common factor of 8083/551,3149/7400 = [GCF of 8083,3149]/[LCM of 551,7400]= 1/4077400
Therefore, the GCF of 8083/551,3149/7400 is 1/4077400.
To find the highest common factor of 8083,3149, we have to find the factors of both numbers and list the highest common factor.
The factors of 8083 are 1, 59, 137, 8083
The factors of 3149 are 1, 47, 67, 3149
The HCF of 8083,3149 is 1.
Lets's calculate GCF of 8083,3149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8083,3149 By Matching Biggest Common Factor Method
Now, list down the factors of 8083
:1,59,137,8083
Now, list down the factors of 3149
:1,47,67,3149
Greatest Common Factor
We found the factors 8083,3149 . The biggest common factor number is the GCF number.
So the greatest common factor 8083,3149 is 1.
Lets's calculate LCM of 551,7400
Given numbers has no common factors except 1. So, there LCM is their product i.e 4077400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4077400
Therefore, the GCF of Fractions 8083/551,3149/7400 is 1/4077400
Least Common Multiple of 551,7400 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 551,7400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,7400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,7400) x common factors =1 x 1 = 1
LCM(551,7400) = ( 551 × 7400 ) / 1
LCM(551,7400) = 4077400 / 1
LCM(551,7400) = 4077400
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FAQs on GCF of Fractions of 8083/551, 3149/7400
1. What is the HCF of 8083,3149?
The HCF of 8083,3149 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 8083/551, 3149/7400?
Answer: GCF of Numerators as per given numbers 8083/551, 3149/7400 is
GCF of Numerators i.e. for 8083,3149 is 1
LCM of denominators i.e. for 551,7400 is 4077400.
Thus, GCF of Fractions is 1/4077400.Finally, GCF of Fractions for 8083/551, 3149/7400 is 1/4077400.