GCF of 3703/688, 5453/6538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3703/688, 5453/6538 i.e 7/2249072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3703/688, 5453/6538.
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 3703/688,5453/6538?
Given fractions are 3703/688,5453/6538
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 3703/688,5453/6538, numerators are 3703,5453
Denominators are 688,6538
The GCF of 3703,5453 is 7 .
LCM of 688,6538 is 2249072.
The greatest common factor of 3703/688,5453/6538 = [GCF of 3703,5453]/[LCM of 688,6538]= 7/2249072
Therefore, the GCF of 3703/688,5453/6538 is 7/2249072.
To find the highest common factor of 3703,5453, we have to find the factors of both numbers and list the highest common factor.
The factors of 3703 are 1, 7, 23, 161, 529, 3703
The factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453
The HCF of 3703,5453 is 7.
Lets's calculate GCF of 3703,5453
| 7 | 3703, 5453 |
| 529, 779 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3703,5453 By Matching Biggest Common Factor Method
Now, list down the factors of 3703
:1,7,23,161,529,3703
Now, list down the factors of 5453
:1,7,19,41,133,287,779,5453
Greatest Common Factor
We found the factors 3703,5453 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,5453 is 7.
Lets's calculate LCM of 688,6538
| 2 | 688, 6538 |
| 344, 3269 |
∴ So the LCM of the given numbers is 2 x 344 x 3269 = 2249072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2249072
Therefore, the GCF of Fractions 3703/688,5453/6538 is 7/2249072
Least Common Multiple of 688,6538 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 688,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,6538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,6538) x common factors =2 x 1 = 2
LCM(688,6538) = ( 688 × 6538 ) / 2
LCM(688,6538) = 4498144 / 2
LCM(688,6538) = 2249072
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3703/688, 5453/6538
1. What is the HCF of 3703,5453?
The HCF of 3703,5453 is 7
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 3703/688, 5453/6538?
Answer: GCF of Numerators as per given numbers 3703/688, 5453/6538 is
GCF of Numerators i.e. for 3703,5453 is 7
LCM of denominators i.e. for 688,6538 is 2249072.
Thus, GCF of Fractions is 7/2249072.Finally, GCF of Fractions for 3703/688, 5453/6538 is 7/2249072.