Use our free GCF of Fractions Calculator tool to compute the GCF of 2528/857, 6048/8899 i.e 32/7626443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2528/857, 6048/8899.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2528/857,6048/8899
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 2528/857,6048/8899, numerators are 2528,6048
Denominators are 857,8899
The GCF of 2528,6048 is 32 .
LCM of 857,8899 is 7626443.
The greatest common factor of 2528/857,6048/8899 = [GCF of 2528,6048]/[LCM of 857,8899]= 32/7626443
Therefore, the GCF of 2528/857,6048/8899 is 32/7626443.
To find the highest common factor of 2528,6048, we have to find the factors of both numbers and list the highest common factor.
The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048
The HCF of 2528,6048 is 32.
Lets's calculate GCF of 2528,6048
2 | 2528, 6048 |
2 | 1264, 3024 |
2 | 632, 1512 |
2 | 316, 756 |
2 | 158, 378 |
79, 189 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Now, list down the factors of 2528
:1,2,4,8,16,32,79,158,316,632,1264,2528
Now, list down the factors of 6048
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Greatest Common Factor
We found the factors 2528,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,6048 is 32.
Lets's calculate LCM of 857,8899
Given numbers has no common factors except 1. So, there LCM is their product i.e 7626443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/7626443
Therefore, the GCF of Fractions 2528/857,6048/8899 is 32/7626443
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 857,8899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,8899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,8899) x common factors =1 x 1 = 1
LCM(857,8899) = ( 857 × 8899 ) / 1
LCM(857,8899) = 7626443 / 1
LCM(857,8899) = 7626443
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2528,6048?
The HCF of 2528,6048 is 32
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 2528/857, 6048/8899?
Answer: GCF of Numerators as per given numbers 2528/857, 6048/8899 is
GCF of Numerators i.e. for 2528,6048 is 32
LCM of denominators i.e. for 857,8899 is 7626443.
Thus, GCF of Fractions is 32/7626443.Finally, GCF of Fractions for 2528/857, 6048/8899 is 32/7626443.