GCF of 7210/747, 3914/1084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7210/747, 3914/1084 i.e 206/809748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7210/747, 3914/1084.
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 7210/747,3914/1084?
Given fractions are 7210/747,3914/1084
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 7210/747,3914/1084, numerators are 7210,3914
Denominators are 747,1084
The GCF of 7210,3914 is 206 .
LCM of 747,1084 is 809748.
The greatest common factor of 7210/747,3914/1084 = [GCF of 7210,3914]/[LCM of 747,1084]= 206/809748
Therefore, the GCF of 7210/747,3914/1084 is 206/809748.
To find the highest common factor of 7210,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 7210,3914 is 206.
Lets's calculate GCF of 7210,3914
| 2 | 7210, 3914 |
| 103 | 3605, 1957 |
| 35, 19 |
∴ So the GCF of the given numbers is 2 x 103 = 206
Greatest Common Factor of 7210,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 7210,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,3914 is 206.
Lets's calculate LCM of 747,1084
Given numbers has no common factors except 1. So, there LCM is their product i.e 809748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 206/809748
Therefore, the GCF of Fractions 7210/747,3914/1084 is 206/809748
Least Common Multiple of 747,1084 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 747,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,1084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,1084) x common factors =1 x 1 = 1
LCM(747,1084) = ( 747 × 1084 ) / 1
LCM(747,1084) = 809748 / 1
LCM(747,1084) = 809748
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7210/747, 3914/1084
1. What is the HCF of 7210,3914?
The HCF of 7210,3914 is 206
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 7210/747, 3914/1084?
Answer: GCF of Numerators as per given numbers 7210/747, 3914/1084 is
GCF of Numerators i.e. for 7210,3914 is 206
LCM of denominators i.e. for 747,1084 is 809748.
Thus, GCF of Fractions is 206/809748.Finally, GCF of Fractions for 7210/747, 3914/1084 is 206/809748.