GCF of 5154/784, 3695/9410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5154/784, 3695/9410 i.e 1/3688720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5154/784, 3695/9410.
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 5154/784,3695/9410?
Given fractions are 5154/784,3695/9410
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 5154/784,3695/9410, numerators are 5154,3695
Denominators are 784,9410
The GCF of 5154,3695 is 1 .
LCM of 784,9410 is 3688720.
The greatest common factor of 5154/784,3695/9410 = [GCF of 5154,3695]/[LCM of 784,9410]= 1/3688720
Therefore, the GCF of 5154/784,3695/9410 is 1/3688720.
To find the highest common factor of 5154,3695, we have to find the factors of both numbers and list the highest common factor.
The factors of 5154 are 1, 2, 3, 6, 859, 1718, 2577, 5154
The factors of 3695 are 1, 5, 739, 3695
The HCF of 5154,3695 is 1.
Lets's calculate GCF of 5154,3695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5154,3695 By Matching Biggest Common Factor Method
Now, list down the factors of 5154
:1,2,3,6,859,1718,2577,5154
Now, list down the factors of 3695
:1,5,739,3695
Greatest Common Factor
We found the factors 5154,3695 . The biggest common factor number is the GCF number.
So the greatest common factor 5154,3695 is 1.
Lets's calculate LCM of 784,9410
| 2 | 784, 9410 |
| 392, 4705 |
∴ So the LCM of the given numbers is 2 x 392 x 4705 = 3688720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3688720
Therefore, the GCF of Fractions 5154/784,3695/9410 is 1/3688720
Least Common Multiple of 784,9410 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 784,9410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,9410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,9410) x common factors =2 x 1 = 2
LCM(784,9410) = ( 784 × 9410 ) / 2
LCM(784,9410) = 7377440 / 2
LCM(784,9410) = 3688720
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FAQs on GCF of Fractions of 5154/784, 3695/9410
1. What is the HCF of 5154,3695?
The HCF of 5154,3695 is 1
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 5154/784, 3695/9410?
Answer: GCF of Numerators as per given numbers 5154/784, 3695/9410 is
GCF of Numerators i.e. for 5154,3695 is 1
LCM of denominators i.e. for 784,9410 is 3688720.
Thus, GCF of Fractions is 1/3688720.Finally, GCF of Fractions for 5154/784, 3695/9410 is 1/3688720.