GCF of 641/25, 782/2859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 641/25, 782/2859 i.e 1/71475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/25, 782/2859.
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 641/25,782/2859?
Given fractions are 641/25,782/2859
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 641/25,782/2859, numerators are 641,782
Denominators are 25,2859
The GCF of 641,782 is 1 .
LCM of 25,2859 is 71475.
The greatest common factor of 641/25,782/2859 = [GCF of 641,782]/[LCM of 25,2859]= 1/71475
Therefore, the GCF of 641/25,782/2859 is 1/71475.
To find the highest common factor of 641,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 641,782 is 1.
Lets's calculate GCF of 641,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 641,782 By Matching Biggest Common Factor Method
Now, list down the factors of 641
:1,641
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 641,782 . The biggest common factor number is the GCF number.
So the greatest common factor 641,782 is 1.
Lets's calculate LCM of 25,2859
Given numbers has no common factors except 1. So, there LCM is their product i.e 71475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71475
Therefore, the GCF of Fractions 641/25,782/2859 is 1/71475
Least Common Multiple of 25,2859 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 25,2859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,2859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,2859) x common factors =1 x 1 = 1
LCM(25,2859) = ( 25 × 2859 ) / 1
LCM(25,2859) = 71475 / 1
LCM(25,2859) = 71475
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FAQs on GCF of Fractions of 641/25, 782/2859
1. What is the HCF of 641,782?
The HCF of 641,782 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 641/25, 782/2859?
Answer: GCF of Numerators as per given numbers 641/25, 782/2859 is
GCF of Numerators i.e. for 641,782 is 1
LCM of denominators i.e. for 25,2859 is 71475.
Thus, GCF of Fractions is 1/71475.Finally, GCF of Fractions for 641/25, 782/2859 is 1/71475.