GCF of 1897/244, 9192/5144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1897/244, 9192/5144 i.e 1/313784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1897/244, 9192/5144.
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 1897/244,9192/5144?
Given fractions are 1897/244,9192/5144
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 1897/244,9192/5144, numerators are 1897,9192
Denominators are 244,5144
The GCF of 1897,9192 is 1 .
LCM of 244,5144 is 313784.
The greatest common factor of 1897/244,9192/5144 = [GCF of 1897,9192]/[LCM of 244,5144]= 1/313784
Therefore, the GCF of 1897/244,9192/5144 is 1/313784.
To find the highest common factor of 1897,9192, we have to find the factors of both numbers and list the highest common factor.
The factors of 1897 are 1, 7, 271, 1897
The factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192
The HCF of 1897,9192 is 1.
Lets's calculate GCF of 1897,9192
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1897,9192 By Matching Biggest Common Factor Method
Now, list down the factors of 1897
:1,7,271,1897
Now, list down the factors of 9192
:1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Greatest Common Factor
We found the factors 1897,9192 . The biggest common factor number is the GCF number.
So the greatest common factor 1897,9192 is 1.
Lets's calculate LCM of 244,5144
| 2 | 244, 5144 |
| 2 | 122, 2572 |
| 61, 1286 |
∴ So the LCM of the given numbers is 2 x 2 x 61 x 1286 = 313784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313784
Therefore, the GCF of Fractions 1897/244,9192/5144 is 1/313784
Least Common Multiple of 244,5144 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 244,5144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,5144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(244,5144) x common factors =4 x 1 = 4
LCM(244,5144) = ( 244 × 5144 ) / 4
LCM(244,5144) = 1255136 / 4
LCM(244,5144) = 313784
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FAQs on GCF of Fractions of 1897/244, 9192/5144
1. What is the HCF of 1897,9192?
The HCF of 1897,9192 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 1897/244, 9192/5144?
Answer: GCF of Numerators as per given numbers 1897/244, 9192/5144 is
GCF of Numerators i.e. for 1897,9192 is 1
LCM of denominators i.e. for 244,5144 is 313784.
Thus, GCF of Fractions is 1/313784.Finally, GCF of Fractions for 1897/244, 9192/5144 is 1/313784.