GCF of 3145/897, 1924/9117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3145/897, 1924/9117 i.e 37/2725983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3145/897, 1924/9117.
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 3145/897,1924/9117?
Given fractions are 3145/897,1924/9117
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 3145/897,1924/9117, numerators are 3145,1924
Denominators are 897,9117
The GCF of 3145,1924 is 37 .
LCM of 897,9117 is 2725983.
The greatest common factor of 3145/897,1924/9117 = [GCF of 3145,1924]/[LCM of 897,9117]= 37/2725983
Therefore, the GCF of 3145/897,1924/9117 is 37/2725983.
To find the highest common factor of 3145,1924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The HCF of 3145,1924 is 37.
Lets's calculate GCF of 3145,1924
| 37 | 3145, 1924 |
| 85, 52 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 3145,1924 By Matching Biggest Common Factor Method
Now, list down the factors of 3145
:1,5,17,37,85,185,629,3145
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Greatest Common Factor
We found the factors 3145,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 3145,1924 is 37.
Lets's calculate LCM of 897,9117
| 3 | 897, 9117 |
| 299, 3039 |
∴ So the LCM of the given numbers is 3 x 299 x 3039 = 2725983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/2725983
Therefore, the GCF of Fractions 3145/897,1924/9117 is 37/2725983
Least Common Multiple of 897,9117 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 897,9117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,9117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,9117) x common factors =3 x 1 = 3
LCM(897,9117) = ( 897 × 9117 ) / 3
LCM(897,9117) = 8177949 / 3
LCM(897,9117) = 2725983
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FAQs on GCF of Fractions of 3145/897, 1924/9117
1. What is the HCF of 3145,1924?
The HCF of 3145,1924 is 37
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 3145/897, 1924/9117?
Answer: GCF of Numerators as per given numbers 3145/897, 1924/9117 is
GCF of Numerators i.e. for 3145,1924 is 37
LCM of denominators i.e. for 897,9117 is 2725983.
Thus, GCF of Fractions is 37/2725983.Finally, GCF of Fractions for 3145/897, 1924/9117 is 37/2725983.