GCF of 677/22, 507/40, 699/20
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 677/22, 507/40, 699/20 i.e 1/440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 677/22, 507/40, 699/20.
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 677/22,507/40,699/20?
Given fractions are 677/22,507/40,699/20
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 677/22,507/40,699/20, numerators are 677,507,699
Denominators are 22,40,20
The GCF of 677,507,699 is 1 .
LCM of 22,40,20 is 440.
The greatest common factor of 677/22,507/40,699/20 = [GCF of 677,507,699]/[LCM of 22,40,20]= 1/440
Therefore, the GCF of 677/22,507/40,699/20 is 1/440.
To find the highest common factor of 677,507,699, we have to find the factors of both numbers and list the highest common factor.
The factors of 677 are 1, 677
The factors of 507 are 1, 3, 13, 39, 169, 507
The factors of 699 are 1, 3, 233, 699
The HCF of 677,507,699 is 1.
Lets's calculate GCF of 677,507,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 677,507,699 By Matching Biggest Common Factor Method
Now, list down the factors of 677
:1,677
Now, list down the factors of 507
:1,3,13,39,169,507
Now, list down the factors of 699
:1,3,233,699
Greatest Common Factor
We found the factors 677,507,699 . The biggest common factor number is the GCF number.
So the greatest common factor 677,507,699 is 1.
Lets's calculate LCM of 22,40,20
| 2 | 22, 40, 20 |
| 2 | 11, 20, 10 |
| 5 | 11, 5, 10 |
| 11, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 1 x 2 = 440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440
Therefore, the GCF of Fractions 677/22,507/40,699/20 is 1/440
Least Common Multiple of 22,40,20 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 22,40,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,40,20) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(22,40,20) x common factors =2 x 20 = 40
LCM(22,40,20) = ( 22 × 40 × 20 ) / 40
LCM(22,40,20) = 17600 / 40
LCM(22,40,20) = 440
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FAQs on GCF of Fractions of 677/22, 507/40, 699/20
1. What is the HCF of 677,507,699?
The HCF of 677,507,699 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 677/22, 507/40, 699/20?
Answer: GCF of Numerators as per given numbers 677/22, 507/40, 699/20 is
GCF of Numerators i.e. for 677,507,699 is 1
LCM of denominators i.e. for 22,40,20 is 440.
Thus, GCF of Fractions is 1/440.Finally, GCF of Fractions for 677/22, 507/40, 699/20 is 1/440.