Use our free GCF of Fractions Calculator tool to compute the GCF of 2960/495, 7050/7756 i.e 10/3839220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2960/495, 7050/7756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2960/495,7050/7756
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 2960/495,7050/7756, numerators are 2960,7050
Denominators are 495,7756
The GCF of 2960,7050 is 10 .
LCM of 495,7756 is 3839220.
The greatest common factor of 2960/495,7050/7756 = [GCF of 2960,7050]/[LCM of 495,7756]= 10/3839220
Therefore, the GCF of 2960/495,7050/7756 is 10/3839220.
To find the highest common factor of 2960,7050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050
The HCF of 2960,7050 is 10.
Lets's calculate GCF of 2960,7050
2 | 2960, 7050 |
5 | 1480, 3525 |
296, 705 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Now, list down the factors of 7050
:1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050
Greatest Common Factor
We found the factors 2960,7050 . The biggest common factor number is the GCF number.
So the greatest common factor 2960,7050 is 10.
Lets's calculate LCM of 495,7756
Given numbers has no common factors except 1. So, there LCM is their product i.e 3839220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3839220
Therefore, the GCF of Fractions 2960/495,7050/7756 is 10/3839220
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 495,7756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,7756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,7756) x common factors =1 x 1 = 1
LCM(495,7756) = ( 495 × 7756 ) / 1
LCM(495,7756) = 3839220 / 1
LCM(495,7756) = 3839220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2960,7050?
The HCF of 2960,7050 is 10
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 2960/495, 7050/7756?
Answer: GCF of Numerators as per given numbers 2960/495, 7050/7756 is
GCF of Numerators i.e. for 2960,7050 is 10
LCM of denominators i.e. for 495,7756 is 3839220.
Thus, GCF of Fractions is 10/3839220.Finally, GCF of Fractions for 2960/495, 7050/7756 is 10/3839220.