GCF of 3145/802, 5615/6758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3145/802, 5615/6758 i.e 5/2709958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3145/802, 5615/6758.
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 3145/802,5615/6758?
Given fractions are 3145/802,5615/6758
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 3145/802,5615/6758, numerators are 3145,5615
Denominators are 802,6758
The GCF of 3145,5615 is 5 .
LCM of 802,6758 is 2709958.
The greatest common factor of 3145/802,5615/6758 = [GCF of 3145,5615]/[LCM of 802,6758]= 5/2709958
Therefore, the GCF of 3145/802,5615/6758 is 5/2709958.
To find the highest common factor of 3145,5615, we have to find the factors of both numbers and list the highest common factor.
The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145
The factors of 5615 are 1, 5, 1123, 5615
The HCF of 3145,5615 is 5.
Lets's calculate GCF of 3145,5615
| 5 | 3145, 5615 |
| 629, 1123 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3145,5615 By Matching Biggest Common Factor Method
Now, list down the factors of 3145
:1,5,17,37,85,185,629,3145
Now, list down the factors of 5615
:1,5,1123,5615
Greatest Common Factor
We found the factors 3145,5615 . The biggest common factor number is the GCF number.
So the greatest common factor 3145,5615 is 5.
Lets's calculate LCM of 802,6758
| 2 | 802, 6758 |
| 401, 3379 |
∴ So the LCM of the given numbers is 2 x 401 x 3379 = 2709958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2709958
Therefore, the GCF of Fractions 3145/802,5615/6758 is 5/2709958
Least Common Multiple of 802,6758 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 802,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,6758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,6758) x common factors =2 x 1 = 2
LCM(802,6758) = ( 802 × 6758 ) / 2
LCM(802,6758) = 5419916 / 2
LCM(802,6758) = 2709958
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3145/802, 5615/6758
1. What is the HCF of 3145,5615?
The HCF of 3145,5615 is 5
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 3145/802, 5615/6758?
Answer: GCF of Numerators as per given numbers 3145/802, 5615/6758 is
GCF of Numerators i.e. for 3145,5615 is 5
LCM of denominators i.e. for 802,6758 is 2709958.
Thus, GCF of Fractions is 5/2709958.Finally, GCF of Fractions for 3145/802, 5615/6758 is 5/2709958.