GCF of 7113/787, 7584/6367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7113/787, 7584/6367 i.e 3/5010829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7113/787, 7584/6367.
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 7113/787,7584/6367?
Given fractions are 7113/787,7584/6367
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 7113/787,7584/6367, numerators are 7113,7584
Denominators are 787,6367
The GCF of 7113,7584 is 3 .
LCM of 787,6367 is 5010829.
The greatest common factor of 7113/787,7584/6367 = [GCF of 7113,7584]/[LCM of 787,6367]= 3/5010829
Therefore, the GCF of 7113/787,7584/6367 is 3/5010829.
To find the highest common factor of 7113,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 7113 are 1, 3, 2371, 7113
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 7113,7584 is 3.
Lets's calculate GCF of 7113,7584
| 3 | 7113, 7584 |
| 2371, 2528 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7113,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 7113
:1,3,2371,7113
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 7113,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 7113,7584 is 3.
Lets's calculate LCM of 787,6367
Given numbers has no common factors except 1. So, there LCM is their product i.e 5010829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5010829
Therefore, the GCF of Fractions 7113/787,7584/6367 is 3/5010829
Least Common Multiple of 787,6367 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 787,6367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,6367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,6367) x common factors =1 x 1 = 1
LCM(787,6367) = ( 787 × 6367 ) / 1
LCM(787,6367) = 5010829 / 1
LCM(787,6367) = 5010829
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FAQs on GCF of Fractions of 7113/787, 7584/6367
1. What is the HCF of 7113,7584?
The HCF of 7113,7584 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 7113/787, 7584/6367?
Answer: GCF of Numerators as per given numbers 7113/787, 7584/6367 is
GCF of Numerators i.e. for 7113,7584 is 3
LCM of denominators i.e. for 787,6367 is 5010829.
Thus, GCF of Fractions is 3/5010829.Finally, GCF of Fractions for 7113/787, 7584/6367 is 3/5010829.