GCF of 5690/784, 9078/7717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5690/784, 9078/7717 i.e 2/6050128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5690/784, 9078/7717.
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 5690/784,9078/7717?
Given fractions are 5690/784,9078/7717
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 5690/784,9078/7717, numerators are 5690,9078
Denominators are 784,7717
The GCF of 5690,9078 is 2 .
LCM of 784,7717 is 6050128.
The greatest common factor of 5690/784,9078/7717 = [GCF of 5690,9078]/[LCM of 784,7717]= 2/6050128
Therefore, the GCF of 5690/784,9078/7717 is 2/6050128.
To find the highest common factor of 5690,9078, we have to find the factors of both numbers and list the highest common factor.
The factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690
The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
The HCF of 5690,9078 is 2.
Lets's calculate GCF of 5690,9078
| 2 | 5690, 9078 |
| 2845, 4539 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5690,9078 By Matching Biggest Common Factor Method
Now, list down the factors of 5690
:1,2,5,10,569,1138,2845,5690
Now, list down the factors of 9078
:1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Greatest Common Factor
We found the factors 5690,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 5690,9078 is 2.
Lets's calculate LCM of 784,7717
Given numbers has no common factors except 1. So, there LCM is their product i.e 6050128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6050128
Therefore, the GCF of Fractions 5690/784,9078/7717 is 2/6050128
Least Common Multiple of 784,7717 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 784,7717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,7717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,7717) x common factors =1 x 1 = 1
LCM(784,7717) = ( 784 × 7717 ) / 1
LCM(784,7717) = 6050128 / 1
LCM(784,7717) = 6050128
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FAQs on GCF of Fractions of 5690/784, 9078/7717
1. What is the HCF of 5690,9078?
The HCF of 5690,9078 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 5690/784, 9078/7717?
Answer: GCF of Numerators as per given numbers 5690/784, 9078/7717 is
GCF of Numerators i.e. for 5690,9078 is 2
LCM of denominators i.e. for 784,7717 is 6050128.
Thus, GCF of Fractions is 2/6050128.Finally, GCF of Fractions for 5690/784, 9078/7717 is 2/6050128.