GCF of 9044/752, 3710/303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9044/752, 3710/303 i.e 14/227856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9044/752, 3710/303.
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 9044/752,3710/303?
Given fractions are 9044/752,3710/303
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 9044/752,3710/303, numerators are 9044,3710
Denominators are 752,303
The GCF of 9044,3710 is 14 .
LCM of 752,303 is 227856.
The greatest common factor of 9044/752,3710/303 = [GCF of 9044,3710]/[LCM of 752,303]= 14/227856
Therefore, the GCF of 9044/752,3710/303 is 14/227856.
To find the highest common factor of 9044,3710, we have to find the factors of both numbers and list the highest common factor.
The factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The HCF of 9044,3710 is 14.
Lets's calculate GCF of 9044,3710
| 2 | 9044, 3710 |
| 7 | 4522, 1855 |
| 646, 265 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9044,3710 By Matching Biggest Common Factor Method
Now, list down the factors of 9044
:1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Greatest Common Factor
We found the factors 9044,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 9044,3710 is 14.
Lets's calculate LCM of 752,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 227856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/227856
Therefore, the GCF of Fractions 9044/752,3710/303 is 14/227856
Least Common Multiple of 752,303 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 752,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,303) x common factors =1 x 1 = 1
LCM(752,303) = ( 752 × 303 ) / 1
LCM(752,303) = 227856 / 1
LCM(752,303) = 227856
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FAQs on GCF of Fractions of 9044/752, 3710/303
1. What is the HCF of 9044,3710?
The HCF of 9044,3710 is 14
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 9044/752, 3710/303?
Answer: GCF of Numerators as per given numbers 9044/752, 3710/303 is
GCF of Numerators i.e. for 9044,3710 is 14
LCM of denominators i.e. for 752,303 is 227856.
Thus, GCF of Fractions is 14/227856.Finally, GCF of Fractions for 9044/752, 3710/303 is 14/227856.