GCF of 565/402, 5107/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 565/402, 5107/825 i.e 1/110550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/402, 5107/825.
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 565/402,5107/825?
Given fractions are 565/402,5107/825
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 565/402,5107/825, numerators are 565,5107
Denominators are 402,825
The GCF of 565,5107 is 1 .
LCM of 402,825 is 110550.
The greatest common factor of 565/402,5107/825 = [GCF of 565,5107]/[LCM of 402,825]= 1/110550
Therefore, the GCF of 565/402,5107/825 is 1/110550.
To find the highest common factor of 565,5107, 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 5107 are 1, 5107
The HCF of 565,5107 is 1.
Lets's calculate GCF of 565,5107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 565,5107 By Matching Biggest Common Factor Method
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 5107
:1,5107
Greatest Common Factor
We found the factors 565,5107 . The biggest common factor number is the GCF number.
So the greatest common factor 565,5107 is 1.
Lets's calculate LCM of 402,825
| 3 | 402, 825 |
| 134, 275 |
∴ So the LCM of the given numbers is 3 x 134 x 275 = 110550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110550
Therefore, the GCF of Fractions 565/402,5107/825 is 1/110550
Least Common Multiple of 402,825 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 402,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(402,825) x common factors =3 x 1 = 3
LCM(402,825) = ( 402 × 825 ) / 3
LCM(402,825) = 331650 / 3
LCM(402,825) = 110550
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FAQs on GCF of Fractions of 565/402, 5107/825
1. What is the HCF of 565,5107?
The HCF of 565,5107 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 565/402, 5107/825?
Answer: GCF of Numerators as per given numbers 565/402, 5107/825 is
GCF of Numerators i.e. for 565,5107 is 1
LCM of denominators i.e. for 402,825 is 110550.
Thus, GCF of Fractions is 1/110550.Finally, GCF of Fractions for 565/402, 5107/825 is 1/110550.