GCF of 1947/908, 3689/9534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1947/908, 3689/9534 i.e 1/19068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1947/908, 3689/9534.
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 1947/908,3689/9534?
Given fractions are 1947/908,3689/9534
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 1947/908,3689/9534, numerators are 1947,3689
Denominators are 908,9534
The GCF of 1947,3689 is 1 .
LCM of 908,9534 is 19068.
The greatest common factor of 1947/908,3689/9534 = [GCF of 1947,3689]/[LCM of 908,9534]= 1/19068
Therefore, the GCF of 1947/908,3689/9534 is 1/19068.
To find the highest common factor of 1947,3689, we have to find the factors of both numbers and list the highest common factor.
The factors of 1947 are 1, 3, 11, 33, 59, 177, 649, 1947
The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689
The HCF of 1947,3689 is 1.
Lets's calculate GCF of 1947,3689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1947,3689 By Matching Biggest Common Factor Method
Now, list down the factors of 1947
:1,3,11,33,59,177,649,1947
Now, list down the factors of 3689
:1,7,17,31,119,217,527,3689
Greatest Common Factor
We found the factors 1947,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 1947,3689 is 1.
Lets's calculate LCM of 908,9534
| 2 | 908, 9534 |
| 227 | 454, 4767 |
| 2, 21 |
∴ So the LCM of the given numbers is 2 x 227 x 2 x 21 = 19068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19068
Therefore, the GCF of Fractions 1947/908,3689/9534 is 1/19068
Least Common Multiple of 908,9534 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 908,9534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,9534) = 454
common factors(in case of two or more numbers have common factors) = 1
GCF(908,9534) x common factors =454 x 1 = 454
LCM(908,9534) = ( 908 × 9534 ) / 454
LCM(908,9534) = 8656872 / 454
LCM(908,9534) = 19068
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1947/908, 3689/9534
1. What is the HCF of 1947,3689?
The HCF of 1947,3689 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 1947/908, 3689/9534?
Answer: GCF of Numerators as per given numbers 1947/908, 3689/9534 is
GCF of Numerators i.e. for 1947,3689 is 1
LCM of denominators i.e. for 908,9534 is 19068.
Thus, GCF of Fractions is 1/19068.Finally, GCF of Fractions for 1947/908, 3689/9534 is 1/19068.