GCF of 565/60, 637/7722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 565/60, 637/7722 i.e 1/77220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/60, 637/7722.
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 565/60,637/7722?
Given fractions are 565/60,637/7722
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 565/60,637/7722, numerators are 565,637
Denominators are 60,7722
The GCF of 565,637 is 1 .
LCM of 60,7722 is 77220.
The greatest common factor of 565/60,637/7722 = [GCF of 565,637]/[LCM of 60,7722]= 1/77220
Therefore, the GCF of 565/60,637/7722 is 1/77220.
To find the highest common factor of 565,637, 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 637 are 1, 7, 13, 49, 91, 637
The HCF of 565,637 is 1.
Lets's calculate GCF of 565,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 565,637 By Matching Biggest Common Factor Method
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 565,637 . The biggest common factor number is the GCF number.
So the greatest common factor 565,637 is 1.
Lets's calculate LCM of 60,7722
| 2 | 60, 7722 |
| 3 | 30, 3861 |
| 10, 1287 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 1287 = 77220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77220
Therefore, the GCF of Fractions 565/60,637/7722 is 1/77220
Least Common Multiple of 60,7722 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 60,7722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,7722) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(60,7722) x common factors =6 x 1 = 6
LCM(60,7722) = ( 60 × 7722 ) / 6
LCM(60,7722) = 463320 / 6
LCM(60,7722) = 77220
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 565/60, 637/7722
1. What is the HCF of 565,637?
The HCF of 565,637 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 565/60, 637/7722?
Answer: GCF of Numerators as per given numbers 565/60, 637/7722 is
GCF of Numerators i.e. for 565,637 is 1
LCM of denominators i.e. for 60,7722 is 77220.
Thus, GCF of Fractions is 1/77220.Finally, GCF of Fractions for 565/60, 637/7722 is 1/77220.