GCF of 90/721, 174/868, 490/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 90/721, 174/868, 490/361 i.e 2/32274844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/721, 174/868, 490/361.
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 90/721,174/868,490/361?
Given fractions are 90/721,174/868,490/361
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 90/721,174/868,490/361, numerators are 90,174,490
Denominators are 721,868,361
The GCF of 90,174,490 is 2 .
LCM of 721,868,361 is 32274844.
The greatest common factor of 90/721,174/868,490/361 = [GCF of 90,174,490]/[LCM of 721,868,361]= 2/32274844
Therefore, the GCF of 90/721,174/868,490/361 is 2/32274844.
To find the highest common factor of 90,174,490, 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 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 90,174,490 is 2.
Lets's calculate GCF of 90,174,490
| 2 | 90, 174, 490 |
| 45, 87, 245 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 90,174,490 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 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 90,174,490 . The biggest common factor number is the GCF number.
So the greatest common factor 90,174,490 is 2.
Lets's calculate LCM of 721,868,361
| 7 | 721, 868, 361 |
| 103, 124, 361 |
∴ So the LCM of the given numbers is 7 x 103 x 124 x 361 = 32274844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32274844
Therefore, the GCF of Fractions 90/721,174/868,490/361 is 2/32274844
Least Common Multiple of 721,868,361 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 721,868,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,868,361) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(721,868,361) x common factors =1 x 7 = 7
LCM(721,868,361) = ( 721 × 868 × 361 ) / 7
LCM(721,868,361) = 225923908 / 7
LCM(721,868,361) = 32274844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 90/721, 174/868, 490/361
1. What is the HCF of 90,174,490?
The HCF of 90,174,490 is 2
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 90/721, 174/868, 490/361?
Answer: GCF of Numerators as per given numbers 90/721, 174/868, 490/361 is
GCF of Numerators i.e. for 90,174,490 is 2
LCM of denominators i.e. for 721,868,361 is 32274844.
Thus, GCF of Fractions is 2/32274844.Finally, GCF of Fractions for 90/721, 174/868, 490/361 is 2/32274844.