GCF of 1459/859, 6641/1532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1459/859, 6641/1532 i.e 1/1315988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1459/859, 6641/1532.
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 1459/859,6641/1532?
Given fractions are 1459/859,6641/1532
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 1459/859,6641/1532, numerators are 1459,6641
Denominators are 859,1532
The GCF of 1459,6641 is 1 .
LCM of 859,1532 is 1315988.
The greatest common factor of 1459/859,6641/1532 = [GCF of 1459,6641]/[LCM of 859,1532]= 1/1315988
Therefore, the GCF of 1459/859,6641/1532 is 1/1315988.
To find the highest common factor of 1459,6641, we have to find the factors of both numbers and list the highest common factor.
The factors of 1459 are 1, 1459
The factors of 6641 are 1, 29, 229, 6641
The HCF of 1459,6641 is 1.
Lets's calculate GCF of 1459,6641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1459,6641 By Matching Biggest Common Factor Method
Now, list down the factors of 1459
:1,1459
Now, list down the factors of 6641
:1,29,229,6641
Greatest Common Factor
We found the factors 1459,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 1459,6641 is 1.
Lets's calculate LCM of 859,1532
Given numbers has no common factors except 1. So, there LCM is their product i.e 1315988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1315988
Therefore, the GCF of Fractions 1459/859,6641/1532 is 1/1315988
Least Common Multiple of 859,1532 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 859,1532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,1532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,1532) x common factors =1 x 1 = 1
LCM(859,1532) = ( 859 × 1532 ) / 1
LCM(859,1532) = 1315988 / 1
LCM(859,1532) = 1315988
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FAQs on GCF of Fractions of 1459/859, 6641/1532
1. What is the HCF of 1459,6641?
The HCF of 1459,6641 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 1459/859, 6641/1532?
Answer: GCF of Numerators as per given numbers 1459/859, 6641/1532 is
GCF of Numerators i.e. for 1459,6641 is 1
LCM of denominators i.e. for 859,1532 is 1315988.
Thus, GCF of Fractions is 1/1315988.Finally, GCF of Fractions for 1459/859, 6641/1532 is 1/1315988.