Use our free GCF of Fractions Calculator tool to compute the GCF of 3250/379, 7776/5310 i.e 2/2012490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3250/379, 7776/5310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3250/379,7776/5310
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 3250/379,7776/5310, numerators are 3250,7776
Denominators are 379,5310
The GCF of 3250,7776 is 2 .
LCM of 379,5310 is 2012490.
The greatest common factor of 3250/379,7776/5310 = [GCF of 3250,7776]/[LCM of 379,5310]= 2/2012490
Therefore, the GCF of 3250/379,7776/5310 is 2/2012490.
To find the highest common factor of 3250,7776, we have to find the factors of both numbers and list the highest common factor.
The factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250
The factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776
The HCF of 3250,7776 is 2.
Lets's calculate GCF of 3250,7776
2 | 3250, 7776 |
1625, 3888 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3250
:1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Now, list down the factors of 7776
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776
Greatest Common Factor
We found the factors 3250,7776 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,7776 is 2.
Lets's calculate LCM of 379,5310
Given numbers has no common factors except 1. So, there LCM is their product i.e 2012490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2012490
Therefore, the GCF of Fractions 3250/379,7776/5310 is 2/2012490
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 379,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,5310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,5310) x common factors =1 x 1 = 1
LCM(379,5310) = ( 379 × 5310 ) / 1
LCM(379,5310) = 2012490 / 1
LCM(379,5310) = 2012490
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3250,7776?
The HCF of 3250,7776 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 3250/379, 7776/5310?
Answer: GCF of Numerators as per given numbers 3250/379, 7776/5310 is
GCF of Numerators i.e. for 3250,7776 is 2
LCM of denominators i.e. for 379,5310 is 2012490.
Thus, GCF of Fractions is 2/2012490.Finally, GCF of Fractions for 3250/379, 7776/5310 is 2/2012490.