GCF of 5410/835, 7159/8432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5410/835, 7159/8432 i.e 1/7040720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5410/835, 7159/8432.
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 5410/835,7159/8432?
Given fractions are 5410/835,7159/8432
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 5410/835,7159/8432, numerators are 5410,7159
Denominators are 835,8432
The GCF of 5410,7159 is 1 .
LCM of 835,8432 is 7040720.
The greatest common factor of 5410/835,7159/8432 = [GCF of 5410,7159]/[LCM of 835,8432]= 1/7040720
Therefore, the GCF of 5410/835,7159/8432 is 1/7040720.
To find the highest common factor of 5410,7159, we have to find the factors of both numbers and list the highest common factor.
The factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410
The factors of 7159 are 1, 7159
The HCF of 5410,7159 is 1.
Lets's calculate GCF of 5410,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5410,7159 By Matching Biggest Common Factor Method
Now, list down the factors of 5410
:1,2,5,10,541,1082,2705,5410
Now, list down the factors of 7159
:1,7159
Greatest Common Factor
We found the factors 5410,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 5410,7159 is 1.
Lets's calculate LCM of 835,8432
Given numbers has no common factors except 1. So, there LCM is their product i.e 7040720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7040720
Therefore, the GCF of Fractions 5410/835,7159/8432 is 1/7040720
Least Common Multiple of 835,8432 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 835,8432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,8432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,8432) x common factors =1 x 1 = 1
LCM(835,8432) = ( 835 × 8432 ) / 1
LCM(835,8432) = 7040720 / 1
LCM(835,8432) = 7040720
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FAQs on GCF of Fractions of 5410/835, 7159/8432
1. What is the HCF of 5410,7159?
The HCF of 5410,7159 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 5410/835, 7159/8432?
Answer: GCF of Numerators as per given numbers 5410/835, 7159/8432 is
GCF of Numerators i.e. for 5410,7159 is 1
LCM of denominators i.e. for 835,8432 is 7040720.
Thus, GCF of Fractions is 1/7040720.Finally, GCF of Fractions for 5410/835, 7159/8432 is 1/7040720.