GCF of 3689/148, 5497/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3689/148, 5497/136 i.e 1/5032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3689/148, 5497/136.
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 3689/148,5497/136?
Given fractions are 3689/148,5497/136
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 3689/148,5497/136, numerators are 3689,5497
Denominators are 148,136
The GCF of 3689,5497 is 1 .
LCM of 148,136 is 5032.
The greatest common factor of 3689/148,5497/136 = [GCF of 3689,5497]/[LCM of 148,136]= 1/5032
Therefore, the GCF of 3689/148,5497/136 is 1/5032.
To find the highest common factor of 3689,5497, we have to find the factors of both numbers and list the highest common factor.
The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689
The factors of 5497 are 1, 23, 239, 5497
The HCF of 3689,5497 is 1.
Lets's calculate GCF of 3689,5497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3689,5497 By Matching Biggest Common Factor Method
Now, list down the factors of 3689
:1,7,17,31,119,217,527,3689
Now, list down the factors of 5497
:1,23,239,5497
Greatest Common Factor
We found the factors 3689,5497 . The biggest common factor number is the GCF number.
So the greatest common factor 3689,5497 is 1.
Lets's calculate LCM of 148,136
| 2 | 148, 136 |
| 2 | 74, 68 |
| 37, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 34 = 5032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5032
Therefore, the GCF of Fractions 3689/148,5497/136 is 1/5032
Least Common Multiple of 148,136 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 148,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,136) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,136) x common factors =4 x 1 = 4
LCM(148,136) = ( 148 × 136 ) / 4
LCM(148,136) = 20128 / 4
LCM(148,136) = 5032
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FAQs on GCF of Fractions of 3689/148, 5497/136
1. What is the HCF of 3689,5497?
The HCF of 3689,5497 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 3689/148, 5497/136?
Answer: GCF of Numerators as per given numbers 3689/148, 5497/136 is
GCF of Numerators i.e. for 3689,5497 is 1
LCM of denominators i.e. for 148,136 is 5032.
Thus, GCF of Fractions is 1/5032.Finally, GCF of Fractions for 3689/148, 5497/136 is 1/5032.