GCF of 4488/194, 2770/7344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4488/194, 2770/7344 i.e 2/712368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4488/194, 2770/7344.
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 4488/194,2770/7344?
Given fractions are 4488/194,2770/7344
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 4488/194,2770/7344, numerators are 4488,2770
Denominators are 194,7344
The GCF of 4488,2770 is 2 .
LCM of 194,7344 is 712368.
The greatest common factor of 4488/194,2770/7344 = [GCF of 4488,2770]/[LCM of 194,7344]= 2/712368
Therefore, the GCF of 4488/194,2770/7344 is 2/712368.
To find the highest common factor of 4488,2770, we have to find the factors of both numbers and list the highest common factor.
The factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488
The factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770
The HCF of 4488,2770 is 2.
Lets's calculate GCF of 4488,2770
| 2 | 4488, 2770 |
| 2244, 1385 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4488,2770 By Matching Biggest Common Factor Method
Now, list down the factors of 4488
:1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488
Now, list down the factors of 2770
:1,2,5,10,277,554,1385,2770
Greatest Common Factor
We found the factors 4488,2770 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,2770 is 2.
Lets's calculate LCM of 194,7344
| 2 | 194, 7344 |
| 97, 3672 |
∴ So the LCM of the given numbers is 2 x 97 x 3672 = 712368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/712368
Therefore, the GCF of Fractions 4488/194,2770/7344 is 2/712368
Least Common Multiple of 194,7344 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 194,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,7344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,7344) x common factors =2 x 1 = 2
LCM(194,7344) = ( 194 × 7344 ) / 2
LCM(194,7344) = 1424736 / 2
LCM(194,7344) = 712368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4488/194, 2770/7344
1. What is the HCF of 4488,2770?
The HCF of 4488,2770 is 2
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 4488/194, 2770/7344?
Answer: GCF of Numerators as per given numbers 4488/194, 2770/7344 is
GCF of Numerators i.e. for 4488,2770 is 2
LCM of denominators i.e. for 194,7344 is 712368.
Thus, GCF of Fractions is 2/712368.Finally, GCF of Fractions for 4488/194, 2770/7344 is 2/712368.