GCF of 90/57, 485/49, 682/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 90/57, 485/49, 682/681 i.e 1/634011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/57, 485/49, 682/681.
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 90/57,485/49,682/681?
Given fractions are 90/57,485/49,682/681
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 90/57,485/49,682/681, numerators are 90,485,682
Denominators are 57,49,681
The GCF of 90,485,682 is 1 .
LCM of 57,49,681 is 634011.
The greatest common factor of 90/57,485/49,682/681 = [GCF of 90,485,682]/[LCM of 57,49,681]= 1/634011
Therefore, the GCF of 90/57,485/49,682/681 is 1/634011.
To find the highest common factor of 90,485,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 485 are 1, 5, 97, 485
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 90,485,682 is 1.
Lets's calculate GCF of 90,485,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 90,485,682 By Matching Biggest Common Factor Method
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 90,485,682 . The biggest common factor number is the GCF number.
So the greatest common factor 90,485,682 is 1.
Lets's calculate LCM of 57,49,681
| 3 | 57, 49, 681 |
| 19, 49, 227 |
∴ So the LCM of the given numbers is 3 x 19 x 49 x 227 = 634011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634011
Therefore, the GCF of Fractions 90/57,485/49,682/681 is 1/634011
Least Common Multiple of 57,49,681 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 57,49,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,49,681) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,49,681) x common factors =1 x 3 = 3
LCM(57,49,681) = ( 57 × 49 × 681 ) / 3
LCM(57,49,681) = 1902033 / 3
LCM(57,49,681) = 634011
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 90/57, 485/49, 682/681
1. What is the HCF of 90,485,682?
The HCF of 90,485,682 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 90/57, 485/49, 682/681?
Answer: GCF of Numerators as per given numbers 90/57, 485/49, 682/681 is
GCF of Numerators i.e. for 90,485,682 is 1
LCM of denominators i.e. for 57,49,681 is 634011.
Thus, GCF of Fractions is 1/634011.Finally, GCF of Fractions for 90/57, 485/49, 682/681 is 1/634011.