GCF of 96/28, 189/80, 968/781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/28, 189/80, 968/781 i.e 1/437360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/28, 189/80, 968/781.
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 96/28,189/80,968/781?
Given fractions are 96/28,189/80,968/781
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 96/28,189/80,968/781, numerators are 96,189,968
Denominators are 28,80,781
The GCF of 96,189,968 is 1 .
LCM of 28,80,781 is 437360.
The greatest common factor of 96/28,189/80,968/781 = [GCF of 96,189,968]/[LCM of 28,80,781]= 1/437360
Therefore, the GCF of 96/28,189/80,968/781 is 1/437360.
To find the highest common factor of 96,189,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 96,189,968 is 1.
Lets's calculate GCF of 96,189,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,189,968 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 96,189,968 . The biggest common factor number is the GCF number.
So the greatest common factor 96,189,968 is 1.
Lets's calculate LCM of 28,80,781
| 2 | 28, 80, 781 |
| 2 | 14, 40, 781 |
| 7, 20, 781 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 20 x 781 = 437360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437360
Therefore, the GCF of Fractions 96/28,189/80,968/781 is 1/437360
Least Common Multiple of 28,80,781 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 28,80,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,80,781) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,80,781) x common factors =1 x 4 = 4
LCM(28,80,781) = ( 28 × 80 × 781 ) / 4
LCM(28,80,781) = 1749440 / 4
LCM(28,80,781) = 437360
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FAQs on GCF of Fractions of 96/28, 189/80, 968/781
1. What is the HCF of 96,189,968?
The HCF of 96,189,968 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 96/28, 189/80, 968/781?
Answer: GCF of Numerators as per given numbers 96/28, 189/80, 968/781 is
GCF of Numerators i.e. for 96,189,968 is 1
LCM of denominators i.e. for 28,80,781 is 437360.
Thus, GCF of Fractions is 1/437360.Finally, GCF of Fractions for 96/28, 189/80, 968/781 is 1/437360.