GCF of 969/532, 192/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 969/532, 192/558 i.e 3/148428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/532, 192/558.
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 969/532,192/558?
Given fractions are 969/532,192/558
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 969/532,192/558, numerators are 969,192
Denominators are 532,558
The GCF of 969,192 is 3 .
LCM of 532,558 is 148428.
The greatest common factor of 969/532,192/558 = [GCF of 969,192]/[LCM of 532,558]= 3/148428
Therefore, the GCF of 969/532,192/558 is 3/148428.
To find the highest common factor of 969,192, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The HCF of 969,192 is 3.
Lets's calculate GCF of 969,192
| 3 | 969, 192 |
| 323, 64 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 969,192 By Matching Biggest Common Factor Method
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 969,192 . The biggest common factor number is the GCF number.
So the greatest common factor 969,192 is 3.
Lets's calculate LCM of 532,558
| 2 | 532, 558 |
| 266, 279 |
∴ So the LCM of the given numbers is 2 x 266 x 279 = 148428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/148428
Therefore, the GCF of Fractions 969/532,192/558 is 3/148428
Least Common Multiple of 532,558 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 532,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,558) x common factors =2 x 1 = 2
LCM(532,558) = ( 532 × 558 ) / 2
LCM(532,558) = 296856 / 2
LCM(532,558) = 148428
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 969/532, 192/558
1. What is the HCF of 969,192?
The HCF of 969,192 is 3
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 969/532, 192/558?
Answer: GCF of Numerators as per given numbers 969/532, 192/558 is
GCF of Numerators i.e. for 969,192 is 3
LCM of denominators i.e. for 532,558 is 148428.
Thus, GCF of Fractions is 3/148428.Finally, GCF of Fractions for 969/532, 192/558 is 3/148428.