GCF of 565/25, 807/934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 565/25, 807/934 i.e 1/23350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/25, 807/934.
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 565/25,807/934?
Given fractions are 565/25,807/934
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 565/25,807/934, numerators are 565,807
Denominators are 25,934
The GCF of 565,807 is 1 .
LCM of 25,934 is 23350.
The greatest common factor of 565/25,807/934 = [GCF of 565,807]/[LCM of 25,934]= 1/23350
Therefore, the GCF of 565/25,807/934 is 1/23350.
To find the highest common factor of 565,807, we have to find the factors of both numbers and list the highest common factor.
The factors of 565 are 1, 5, 113, 565
The factors of 807 are 1, 3, 269, 807
The HCF of 565,807 is 1.
Lets's calculate GCF of 565,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 565,807 By Matching Biggest Common Factor Method
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 807
:1,3,269,807
Greatest Common Factor
We found the factors 565,807 . The biggest common factor number is the GCF number.
So the greatest common factor 565,807 is 1.
Lets's calculate LCM of 25,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 23350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23350
Therefore, the GCF of Fractions 565/25,807/934 is 1/23350
Least Common Multiple of 25,934 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 25,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,934) x common factors =1 x 1 = 1
LCM(25,934) = ( 25 × 934 ) / 1
LCM(25,934) = 23350 / 1
LCM(25,934) = 23350
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FAQs on GCF of Fractions of 565/25, 807/934
1. What is the HCF of 565,807?
The HCF of 565,807 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 565/25, 807/934?
Answer: GCF of Numerators as per given numbers 565/25, 807/934 is
GCF of Numerators i.e. for 565,807 is 1
LCM of denominators i.e. for 25,934 is 23350.
Thus, GCF of Fractions is 1/23350.Finally, GCF of Fractions for 565/25, 807/934 is 1/23350.