Use our free GCF of Fractions Calculator tool to compute the GCF of 2976/778, 4628/8361 i.e 4/6504858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2976/778, 4628/8361.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2976/778,4628/8361
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 2976/778,4628/8361, numerators are 2976,4628
Denominators are 778,8361
The GCF of 2976,4628 is 4 .
LCM of 778,8361 is 6504858.
The greatest common factor of 2976/778,4628/8361 = [GCF of 2976,4628]/[LCM of 778,8361]= 4/6504858
Therefore, the GCF of 2976/778,4628/8361 is 4/6504858.
To find the highest common factor of 2976,4628, we have to find the factors of both numbers and list the highest common factor.
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The HCF of 2976,4628 is 4.
Lets's calculate GCF of 2976,4628
2 | 2976, 4628 |
2 | 1488, 2314 |
744, 1157 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 2976,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,4628 is 4.
Lets's calculate LCM of 778,8361
Given numbers has no common factors except 1. So, there LCM is their product i.e 6504858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6504858
Therefore, the GCF of Fractions 2976/778,4628/8361 is 4/6504858
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 778,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,8361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,8361) x common factors =1 x 1 = 1
LCM(778,8361) = ( 778 × 8361 ) / 1
LCM(778,8361) = 6504858 / 1
LCM(778,8361) = 6504858
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2976,4628?
The HCF of 2976,4628 is 4
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 2976/778, 4628/8361?
Answer: GCF of Numerators as per given numbers 2976/778, 4628/8361 is
GCF of Numerators i.e. for 2976,4628 is 4
LCM of denominators i.e. for 778,8361 is 6504858.
Thus, GCF of Fractions is 4/6504858.Finally, GCF of Fractions for 2976/778, 4628/8361 is 4/6504858.