GCF of 832/90, 974/252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/90, 974/252 i.e 2/1260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/90, 974/252.
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 832/90,974/252?
Given fractions are 832/90,974/252
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 832/90,974/252, numerators are 832,974
Denominators are 90,252
The GCF of 832,974 is 2 .
LCM of 90,252 is 1260.
The greatest common factor of 832/90,974/252 = [GCF of 832,974]/[LCM of 90,252]= 2/1260
Therefore, the GCF of 832/90,974/252 is 2/1260.
To find the highest common factor of 832,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 974 are 1, 2, 487, 974
The HCF of 832,974 is 2.
Lets's calculate GCF of 832,974
| 2 | 832, 974 |
| 416, 487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 832,974 By Matching Biggest Common Factor Method
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 832,974 . The biggest common factor number is the GCF number.
So the greatest common factor 832,974 is 2.
Lets's calculate LCM of 90,252
| 2 | 90, 252 |
| 3 | 45, 126 |
| 3 | 15, 42 |
| 5, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 14 = 1260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1260
Therefore, the GCF of Fractions 832/90,974/252 is 2/1260
Least Common Multiple of 90,252 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 90,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,252) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(90,252) x common factors =18 x 1 = 18
LCM(90,252) = ( 90 × 252 ) / 18
LCM(90,252) = 22680 / 18
LCM(90,252) = 1260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 832/90, 974/252
1. What is the HCF of 832,974?
The HCF of 832,974 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 832/90, 974/252?
Answer: GCF of Numerators as per given numbers 832/90, 974/252 is
GCF of Numerators i.e. for 832,974 is 2
LCM of denominators i.e. for 90,252 is 1260.
Thus, GCF of Fractions is 2/1260.Finally, GCF of Fractions for 832/90, 974/252 is 2/1260.