GCF of 5393/151, 7130/1881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5393/151, 7130/1881 i.e 1/284031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5393/151, 7130/1881.
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 5393/151,7130/1881?
Given fractions are 5393/151,7130/1881
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 5393/151,7130/1881, numerators are 5393,7130
Denominators are 151,1881
The GCF of 5393,7130 is 1 .
LCM of 151,1881 is 284031.
The greatest common factor of 5393/151,7130/1881 = [GCF of 5393,7130]/[LCM of 151,1881]= 1/284031
Therefore, the GCF of 5393/151,7130/1881 is 1/284031.
To find the highest common factor of 5393,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 5393 are 1, 5393
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 5393,7130 is 1.
Lets's calculate GCF of 5393,7130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5393,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 5393
:1,5393
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 5393,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 5393,7130 is 1.
Lets's calculate LCM of 151,1881
Given numbers has no common factors except 1. So, there LCM is their product i.e 284031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284031
Therefore, the GCF of Fractions 5393/151,7130/1881 is 1/284031
Least Common Multiple of 151,1881 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 151,1881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,1881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,1881) x common factors =1 x 1 = 1
LCM(151,1881) = ( 151 × 1881 ) / 1
LCM(151,1881) = 284031 / 1
LCM(151,1881) = 284031
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FAQs on GCF of Fractions of 5393/151, 7130/1881
1. What is the HCF of 5393,7130?
The HCF of 5393,7130 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 5393/151, 7130/1881?
Answer: GCF of Numerators as per given numbers 5393/151, 7130/1881 is
GCF of Numerators i.e. for 5393,7130 is 1
LCM of denominators i.e. for 151,1881 is 284031.
Thus, GCF of Fractions is 1/284031.Finally, GCF of Fractions for 5393/151, 7130/1881 is 1/284031.