GCF of 2959/942, 2507/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2959/942, 2507/5814 i.e 1/912798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2959/942, 2507/5814.
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 2959/942,2507/5814?
Given fractions are 2959/942,2507/5814
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 2959/942,2507/5814, numerators are 2959,2507
Denominators are 942,5814
The GCF of 2959,2507 is 1 .
LCM of 942,5814 is 912798.
The greatest common factor of 2959/942,2507/5814 = [GCF of 2959,2507]/[LCM of 942,5814]= 1/912798
Therefore, the GCF of 2959/942,2507/5814 is 1/912798.
To find the highest common factor of 2959,2507, we have to find the factors of both numbers and list the highest common factor.
The factors of 2959 are 1, 11, 269, 2959
The factors of 2507 are 1, 23, 109, 2507
The HCF of 2959,2507 is 1.
Lets's calculate GCF of 2959,2507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2959,2507 By Matching Biggest Common Factor Method
Now, list down the factors of 2959
:1,11,269,2959
Now, list down the factors of 2507
:1,23,109,2507
Greatest Common Factor
We found the factors 2959,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 2959,2507 is 1.
Lets's calculate LCM of 942,5814
| 2 | 942, 5814 |
| 3 | 471, 2907 |
| 157, 969 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 969 = 912798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912798
Therefore, the GCF of Fractions 2959/942,2507/5814 is 1/912798
Least Common Multiple of 942,5814 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 942,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,5814) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,5814) x common factors =6 x 1 = 6
LCM(942,5814) = ( 942 × 5814 ) / 6
LCM(942,5814) = 5476788 / 6
LCM(942,5814) = 912798
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2959/942, 2507/5814
1. What is the HCF of 2959,2507?
The HCF of 2959,2507 is 1
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 2959/942, 2507/5814?
Answer: GCF of Numerators as per given numbers 2959/942, 2507/5814 is
GCF of Numerators i.e. for 2959,2507 is 1
LCM of denominators i.e. for 942,5814 is 912798.
Thus, GCF of Fractions is 1/912798.Finally, GCF of Fractions for 2959/942, 2507/5814 is 1/912798.