GCF of 7431/390, 1056/5615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7431/390, 1056/5615 i.e 3/437970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7431/390, 1056/5615.
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 7431/390,1056/5615?
Given fractions are 7431/390,1056/5615
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 7431/390,1056/5615, numerators are 7431,1056
Denominators are 390,5615
The GCF of 7431,1056 is 3 .
LCM of 390,5615 is 437970.
The greatest common factor of 7431/390,1056/5615 = [GCF of 7431,1056]/[LCM of 390,5615]= 3/437970
Therefore, the GCF of 7431/390,1056/5615 is 3/437970.
To find the highest common factor of 7431,1056, we have to find the factors of both numbers and list the highest common factor.
The factors of 7431 are 1, 3, 2477, 7431
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
The HCF of 7431,1056 is 3.
Lets's calculate GCF of 7431,1056
| 3 | 7431, 1056 |
| 2477, 352 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7431,1056 By Matching Biggest Common Factor Method
Now, list down the factors of 7431
:1,3,2477,7431
Now, list down the factors of 1056
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056
Greatest Common Factor
We found the factors 7431,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 7431,1056 is 3.
Lets's calculate LCM of 390,5615
| 5 | 390, 5615 |
| 78, 1123 |
∴ So the LCM of the given numbers is 5 x 78 x 1123 = 437970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/437970
Therefore, the GCF of Fractions 7431/390,1056/5615 is 3/437970
Least Common Multiple of 390,5615 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 390,5615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,5615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(390,5615) x common factors =5 x 1 = 5
LCM(390,5615) = ( 390 × 5615 ) / 5
LCM(390,5615) = 2189850 / 5
LCM(390,5615) = 437970
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FAQs on GCF of Fractions of 7431/390, 1056/5615
1. What is the HCF of 7431,1056?
The HCF of 7431,1056 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 7431/390, 1056/5615?
Answer: GCF of Numerators as per given numbers 7431/390, 1056/5615 is
GCF of Numerators i.e. for 7431,1056 is 3
LCM of denominators i.e. for 390,5615 is 437970.
Thus, GCF of Fractions is 3/437970.Finally, GCF of Fractions for 7431/390, 1056/5615 is 3/437970.