GCF of 6374/240, 7280/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6374/240, 7280/189 i.e 2/15120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6374/240, 7280/189.
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 6374/240,7280/189?
Given fractions are 6374/240,7280/189
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 6374/240,7280/189, numerators are 6374,7280
Denominators are 240,189
The GCF of 6374,7280 is 2 .
LCM of 240,189 is 15120.
The greatest common factor of 6374/240,7280/189 = [GCF of 6374,7280]/[LCM of 240,189]= 2/15120
Therefore, the GCF of 6374/240,7280/189 is 2/15120.
To find the highest common factor of 6374,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 6374 are 1, 2, 3187, 6374
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 6374,7280 is 2.
Lets's calculate GCF of 6374,7280
| 2 | 6374, 7280 |
| 3187, 3640 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6374,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 6374
:1,2,3187,6374
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 6374,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 6374,7280 is 2.
Lets's calculate LCM of 240,189
| 3 | 240, 189 |
| 80, 63 |
∴ So the LCM of the given numbers is 3 x 80 x 63 = 15120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15120
Therefore, the GCF of Fractions 6374/240,7280/189 is 2/15120
Least Common Multiple of 240,189 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 240,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,189) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(240,189) x common factors =3 x 1 = 3
LCM(240,189) = ( 240 × 189 ) / 3
LCM(240,189) = 45360 / 3
LCM(240,189) = 15120
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FAQs on GCF of Fractions of 6374/240, 7280/189
1. What is the HCF of 6374,7280?
The HCF of 6374,7280 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 6374/240, 7280/189?
Answer: GCF of Numerators as per given numbers 6374/240, 7280/189 is
GCF of Numerators i.e. for 6374,7280 is 2
LCM of denominators i.e. for 240,189 is 15120.
Thus, GCF of Fractions is 2/15120.Finally, GCF of Fractions for 6374/240, 7280/189 is 2/15120.