GCF of 1156/784, 3415/6390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1156/784, 3415/6390 i.e 1/2504880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1156/784, 3415/6390.
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 1156/784,3415/6390?
Given fractions are 1156/784,3415/6390
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 1156/784,3415/6390, numerators are 1156,3415
Denominators are 784,6390
The GCF of 1156,3415 is 1 .
LCM of 784,6390 is 2504880.
The greatest common factor of 1156/784,3415/6390 = [GCF of 1156,3415]/[LCM of 784,6390]= 1/2504880
Therefore, the GCF of 1156/784,3415/6390 is 1/2504880.
To find the highest common factor of 1156,3415, we have to find the factors of both numbers and list the highest common factor.
The factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156
The factors of 3415 are 1, 5, 683, 3415
The HCF of 1156,3415 is 1.
Lets's calculate GCF of 1156,3415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1156,3415 By Matching Biggest Common Factor Method
Now, list down the factors of 1156
:1,2,4,17,34,68,289,578,1156
Now, list down the factors of 3415
:1,5,683,3415
Greatest Common Factor
We found the factors 1156,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 1156,3415 is 1.
Lets's calculate LCM of 784,6390
| 2 | 784, 6390 |
| 392, 3195 |
∴ So the LCM of the given numbers is 2 x 392 x 3195 = 2504880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2504880
Therefore, the GCF of Fractions 1156/784,3415/6390 is 1/2504880
Least Common Multiple of 784,6390 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 784,6390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,6390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,6390) x common factors =2 x 1 = 2
LCM(784,6390) = ( 784 × 6390 ) / 2
LCM(784,6390) = 5009760 / 2
LCM(784,6390) = 2504880
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FAQs on GCF of Fractions of 1156/784, 3415/6390
1. What is the HCF of 1156,3415?
The HCF of 1156,3415 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 1156/784, 3415/6390?
Answer: GCF of Numerators as per given numbers 1156/784, 3415/6390 is
GCF of Numerators i.e. for 1156,3415 is 1
LCM of denominators i.e. for 784,6390 is 2504880.
Thus, GCF of Fractions is 1/2504880.Finally, GCF of Fractions for 1156/784, 3415/6390 is 1/2504880.