GCF of 1138/575, 7536/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1138/575, 7536/614 i.e 2/353050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1138/575, 7536/614.
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 1138/575,7536/614?
Given fractions are 1138/575,7536/614
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 1138/575,7536/614, numerators are 1138,7536
Denominators are 575,614
The GCF of 1138,7536 is 2 .
LCM of 575,614 is 353050.
The greatest common factor of 1138/575,7536/614 = [GCF of 1138,7536]/[LCM of 575,614]= 2/353050
Therefore, the GCF of 1138/575,7536/614 is 2/353050.
To find the highest common factor of 1138,7536, we have to find the factors of both numbers and list the highest common factor.
The factors of 1138 are 1, 2, 569, 1138
The factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
The HCF of 1138,7536 is 2.
Lets's calculate GCF of 1138,7536
| 2 | 1138, 7536 |
| 569, 3768 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1138,7536 By Matching Biggest Common Factor Method
Now, list down the factors of 1138
:1,2,569,1138
Now, list down the factors of 7536
:1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors 1138,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 1138,7536 is 2.
Lets's calculate LCM of 575,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 353050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/353050
Therefore, the GCF of Fractions 1138/575,7536/614 is 2/353050
Least Common Multiple of 575,614 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 575,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,614) x common factors =1 x 1 = 1
LCM(575,614) = ( 575 × 614 ) / 1
LCM(575,614) = 353050 / 1
LCM(575,614) = 353050
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1138/575, 7536/614
1. What is the HCF of 1138,7536?
The HCF of 1138,7536 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 1138/575, 7536/614?
Answer: GCF of Numerators as per given numbers 1138/575, 7536/614 is
GCF of Numerators i.e. for 1138,7536 is 2
LCM of denominators i.e. for 575,614 is 353050.
Thus, GCF of Fractions is 2/353050.Finally, GCF of Fractions for 1138/575, 7536/614 is 2/353050.