GCF of 96/608, 60/492, 282/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/608, 60/492, 282/412 i.e 6/7702752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/608, 60/492, 282/412.
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 96/608,60/492,282/412?
Given fractions are 96/608,60/492,282/412
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 96/608,60/492,282/412, numerators are 96,60,282
Denominators are 608,492,412
The GCF of 96,60,282 is 6 .
LCM of 608,492,412 is 7702752.
The greatest common factor of 96/608,60/492,282/412 = [GCF of 96,60,282]/[LCM of 608,492,412]= 6/7702752
Therefore, the GCF of 96/608,60/492,282/412 is 6/7702752.
To find the highest common factor of 96,60,282, 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 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 96,60,282 is 6.
Lets's calculate GCF of 96,60,282
| 2 | 96, 60, 282 |
| 3 | 48, 30, 141 |
| 16, 10, 47 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 96,60,282 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 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 96,60,282 . The biggest common factor number is the GCF number.
So the greatest common factor 96,60,282 is 6.
Lets's calculate LCM of 608,492,412
| 2 | 608, 492, 412 |
| 2 | 304, 246, 206 |
| 152, 123, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 152 x 123 x 103 = 7702752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7702752
Therefore, the GCF of Fractions 96/608,60/492,282/412 is 6/7702752
Least Common Multiple of 608,492,412 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 608,492,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,492,412) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(608,492,412) x common factors =4 x 4 = 16
LCM(608,492,412) = ( 608 × 492 × 412 ) / 16
LCM(608,492,412) = 123244032 / 16
LCM(608,492,412) = 7702752
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 96/608, 60/492, 282/412
1. What is the HCF of 96,60,282?
The HCF of 96,60,282 is 6
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 96/608, 60/492, 282/412?
Answer: GCF of Numerators as per given numbers 96/608, 60/492, 282/412 is
GCF of Numerators i.e. for 96,60,282 is 6
LCM of denominators i.e. for 608,492,412 is 7702752.
Thus, GCF of Fractions is 6/7702752.Finally, GCF of Fractions for 96/608, 60/492, 282/412 is 6/7702752.