GCF of 2507/744, 5995/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2507/744, 5995/188 i.e 109/34968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2507/744, 5995/188.
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 2507/744,5995/188?
Given fractions are 2507/744,5995/188
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 2507/744,5995/188, numerators are 2507,5995
Denominators are 744,188
The GCF of 2507,5995 is 109 .
LCM of 744,188 is 34968.
The greatest common factor of 2507/744,5995/188 = [GCF of 2507,5995]/[LCM of 744,188]= 109/34968
Therefore, the GCF of 2507/744,5995/188 is 109/34968.
To find the highest common factor of 2507,5995, we have to find the factors of both numbers and list the highest common factor.
The factors of 2507 are 1, 23, 109, 2507
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The HCF of 2507,5995 is 109.
Lets's calculate GCF of 2507,5995
| 109 | 2507, 5995 |
| 23, 55 |
∴ So the GCF of the given numbers is 109 = 109
Greatest Common Factor of 2507,5995 By Matching Biggest Common Factor Method
Now, list down the factors of 2507
:1,23,109,2507
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Greatest Common Factor
We found the factors 2507,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,5995 is 109.
Lets's calculate LCM of 744,188
| 2 | 744, 188 |
| 2 | 372, 94 |
| 186, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 186 x 47 = 34968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/34968
Therefore, the GCF of Fractions 2507/744,5995/188 is 109/34968
Least Common Multiple of 744,188 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 744,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(744,188) x common factors =4 x 1 = 4
LCM(744,188) = ( 744 × 188 ) / 4
LCM(744,188) = 139872 / 4
LCM(744,188) = 34968
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FAQs on GCF of Fractions of 2507/744, 5995/188
1. What is the HCF of 2507,5995?
The HCF of 2507,5995 is 109
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 2507/744, 5995/188?
Answer: GCF of Numerators as per given numbers 2507/744, 5995/188 is
GCF of Numerators i.e. for 2507,5995 is 109
LCM of denominators i.e. for 744,188 is 34968.
Thus, GCF of Fractions is 109/34968.Finally, GCF of Fractions for 2507/744, 5995/188 is 109/34968.