GCF of 2976/360, 7188/1734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2976/360, 7188/1734 i.e 12/104040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2976/360, 7188/1734.
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 2976/360,7188/1734?
Given fractions are 2976/360,7188/1734
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 2976/360,7188/1734, numerators are 2976,7188
Denominators are 360,1734
The GCF of 2976,7188 is 12 .
LCM of 360,1734 is 104040.
The greatest common factor of 2976/360,7188/1734 = [GCF of 2976,7188]/[LCM of 360,1734]= 12/104040
Therefore, the GCF of 2976/360,7188/1734 is 12/104040.
To find the highest common factor of 2976,7188, we have to find the factors of both numbers and list the highest common factor.
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188
The HCF of 2976,7188 is 12.
Lets's calculate GCF of 2976,7188
| 2 | 2976, 7188 |
| 2 | 1488, 3594 |
| 3 | 744, 1797 |
| 248, 599 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2976,7188 By Matching Biggest Common Factor Method
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Now, list down the factors of 7188
:1,2,3,4,6,12,599,1198,1797,2396,3594,7188
Greatest Common Factor
We found the factors 2976,7188 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,7188 is 12.
Lets's calculate LCM of 360,1734
| 2 | 360, 1734 |
| 3 | 180, 867 |
| 60, 289 |
∴ So the LCM of the given numbers is 2 x 3 x 60 x 289 = 104040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/104040
Therefore, the GCF of Fractions 2976/360,7188/1734 is 12/104040
Least Common Multiple of 360,1734 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 360,1734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,1734) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(360,1734) x common factors =6 x 1 = 6
LCM(360,1734) = ( 360 × 1734 ) / 6
LCM(360,1734) = 624240 / 6
LCM(360,1734) = 104040
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FAQs on GCF of Fractions of 2976/360, 7188/1734
1. What is the HCF of 2976,7188?
The HCF of 2976,7188 is 12
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 2976/360, 7188/1734?
Answer: GCF of Numerators as per given numbers 2976/360, 7188/1734 is
GCF of Numerators i.e. for 2976,7188 is 12
LCM of denominators i.e. for 360,1734 is 104040.
Thus, GCF of Fractions is 12/104040.Finally, GCF of Fractions for 2976/360, 7188/1734 is 12/104040.