GCF of 4744/385, 8980/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4744/385, 8980/109 i.e 4/41965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4744/385, 8980/109.
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 4744/385,8980/109?
Given fractions are 4744/385,8980/109
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 4744/385,8980/109, numerators are 4744,8980
Denominators are 385,109
The GCF of 4744,8980 is 4 .
LCM of 385,109 is 41965.
The greatest common factor of 4744/385,8980/109 = [GCF of 4744,8980]/[LCM of 385,109]= 4/41965
Therefore, the GCF of 4744/385,8980/109 is 4/41965.
To find the highest common factor of 4744,8980, we have to find the factors of both numbers and list the highest common factor.
The factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744
The factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980
The HCF of 4744,8980 is 4.
Lets's calculate GCF of 4744,8980
| 2 | 4744, 8980 |
| 2 | 2372, 4490 |
| 1186, 2245 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4744,8980 By Matching Biggest Common Factor Method
Now, list down the factors of 4744
:1,2,4,8,593,1186,2372,4744
Now, list down the factors of 8980
:1,2,4,5,10,20,449,898,1796,2245,4490,8980
Greatest Common Factor
We found the factors 4744,8980 . The biggest common factor number is the GCF number.
So the greatest common factor 4744,8980 is 4.
Lets's calculate LCM of 385,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 41965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/41965
Therefore, the GCF of Fractions 4744/385,8980/109 is 4/41965
Least Common Multiple of 385,109 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 385,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,109) x common factors =1 x 1 = 1
LCM(385,109) = ( 385 × 109 ) / 1
LCM(385,109) = 41965 / 1
LCM(385,109) = 41965
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4744/385, 8980/109
1. What is the HCF of 4744,8980?
The HCF of 4744,8980 is 4
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 4744/385, 8980/109?
Answer: GCF of Numerators as per given numbers 4744/385, 8980/109 is
GCF of Numerators i.e. for 4744,8980 is 4
LCM of denominators i.e. for 385,109 is 41965.
Thus, GCF of Fractions is 4/41965.Finally, GCF of Fractions for 4744/385, 8980/109 is 4/41965.