Use our free GCF of Fractions Calculator tool to compute the GCF of 8512/838, 1166/602 i.e 2/252238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8512/838, 1166/602.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8512/838,1166/602
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 8512/838,1166/602, numerators are 8512,1166
Denominators are 838,602
The GCF of 8512,1166 is 2 .
LCM of 838,602 is 252238.
The greatest common factor of 8512/838,1166/602 = [GCF of 8512,1166]/[LCM of 838,602]= 2/252238
Therefore, the GCF of 8512/838,1166/602 is 2/252238.
To find the highest common factor of 8512,1166, we have to find the factors of both numbers and list the highest common factor.
The factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512
The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166
The HCF of 8512,1166 is 2.
Lets's calculate GCF of 8512,1166
2 | 8512, 1166 |
4256, 583 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8512
:1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Now, list down the factors of 1166
:1,2,11,22,53,106,583,1166
Greatest Common Factor
We found the factors 8512,1166 . The biggest common factor number is the GCF number.
So the greatest common factor 8512,1166 is 2.
Lets's calculate LCM of 838,602
2 | 838, 602 |
419, 301 |
∴ So the LCM of the given numbers is 2 x 419 x 301 = 252238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/252238
Therefore, the GCF of Fractions 8512/838,1166/602 is 2/252238
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 838,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,602) x common factors =2 x 1 = 2
LCM(838,602) = ( 838 × 602 ) / 2
LCM(838,602) = 504476 / 2
LCM(838,602) = 252238
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8512,1166?
The HCF of 8512,1166 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 8512/838, 1166/602?
Answer: GCF of Numerators as per given numbers 8512/838, 1166/602 is
GCF of Numerators i.e. for 8512,1166 is 2
LCM of denominators i.e. for 838,602 is 252238.
Thus, GCF of Fractions is 2/252238.Finally, GCF of Fractions for 8512/838, 1166/602 is 2/252238.