GCF of 3103/176, 3924/8842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3103/176, 3924/8842 i.e 1/778096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3103/176, 3924/8842.
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 3103/176,3924/8842?
Given fractions are 3103/176,3924/8842
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 3103/176,3924/8842, numerators are 3103,3924
Denominators are 176,8842
The GCF of 3103,3924 is 1 .
LCM of 176,8842 is 778096.
The greatest common factor of 3103/176,3924/8842 = [GCF of 3103,3924]/[LCM of 176,8842]= 1/778096
Therefore, the GCF of 3103/176,3924/8842 is 1/778096.
To find the highest common factor of 3103,3924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3103 are 1, 29, 107, 3103
The factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924
The HCF of 3103,3924 is 1.
Lets's calculate GCF of 3103,3924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3103,3924 By Matching Biggest Common Factor Method
Now, list down the factors of 3103
:1,29,107,3103
Now, list down the factors of 3924
:1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924
Greatest Common Factor
We found the factors 3103,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 3103,3924 is 1.
Lets's calculate LCM of 176,8842
| 2 | 176, 8842 |
| 88, 4421 |
∴ So the LCM of the given numbers is 2 x 88 x 4421 = 778096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/778096
Therefore, the GCF of Fractions 3103/176,3924/8842 is 1/778096
Least Common Multiple of 176,8842 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 176,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,8842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,8842) x common factors =2 x 1 = 2
LCM(176,8842) = ( 176 × 8842 ) / 2
LCM(176,8842) = 1556192 / 2
LCM(176,8842) = 778096
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FAQs on GCF of Fractions of 3103/176, 3924/8842
1. What is the HCF of 3103,3924?
The HCF of 3103,3924 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 3103/176, 3924/8842?
Answer: GCF of Numerators as per given numbers 3103/176, 3924/8842 is
GCF of Numerators i.e. for 3103,3924 is 1
LCM of denominators i.e. for 176,8842 is 778096.
Thus, GCF of Fractions is 1/778096.Finally, GCF of Fractions for 3103/176, 3924/8842 is 1/778096.