GCF of 6746/316, 8172/5150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6746/316, 8172/5150 i.e 2/813700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6746/316, 8172/5150.
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 6746/316,8172/5150?
Given fractions are 6746/316,8172/5150
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 6746/316,8172/5150, numerators are 6746,8172
Denominators are 316,5150
The GCF of 6746,8172 is 2 .
LCM of 316,5150 is 813700.
The greatest common factor of 6746/316,8172/5150 = [GCF of 6746,8172]/[LCM of 316,5150]= 2/813700
Therefore, the GCF of 6746/316,8172/5150 is 2/813700.
To find the highest common factor of 6746,8172, we have to find the factors of both numbers and list the highest common factor.
The factors of 6746 are 1, 2, 3373, 6746
The factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
The HCF of 6746,8172 is 2.
Lets's calculate GCF of 6746,8172
| 2 | 6746, 8172 |
| 3373, 4086 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6746,8172 By Matching Biggest Common Factor Method
Now, list down the factors of 6746
:1,2,3373,6746
Now, list down the factors of 8172
:1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 6746,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 6746,8172 is 2.
Lets's calculate LCM of 316,5150
| 2 | 316, 5150 |
| 158, 2575 |
∴ So the LCM of the given numbers is 2 x 158 x 2575 = 813700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/813700
Therefore, the GCF of Fractions 6746/316,8172/5150 is 2/813700
Least Common Multiple of 316,5150 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 316,5150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,5150) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(316,5150) x common factors =2 x 1 = 2
LCM(316,5150) = ( 316 × 5150 ) / 2
LCM(316,5150) = 1627400 / 2
LCM(316,5150) = 813700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6746/316, 8172/5150
1. What is the HCF of 6746,8172?
The HCF of 6746,8172 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 6746/316, 8172/5150?
Answer: GCF of Numerators as per given numbers 6746/316, 8172/5150 is
GCF of Numerators i.e. for 6746,8172 is 2
LCM of denominators i.e. for 316,5150 is 813700.
Thus, GCF of Fractions is 2/813700.Finally, GCF of Fractions for 6746/316, 8172/5150 is 2/813700.