Use our free GCF of Fractions Calculator tool to compute the GCF of 8952/684, 3610/3226 i.e 2/1103292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8952/684, 3610/3226.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8952/684,3610/3226
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 8952/684,3610/3226, numerators are 8952,3610
Denominators are 684,3226
The GCF of 8952,3610 is 2 .
LCM of 684,3226 is 1103292.
The greatest common factor of 8952/684,3610/3226 = [GCF of 8952,3610]/[LCM of 684,3226]= 2/1103292
Therefore, the GCF of 8952/684,3610/3226 is 2/1103292.
To find the highest common factor of 8952,3610, we have to find the factors of both numbers and list the highest common factor.
The factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952
The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
The HCF of 8952,3610 is 2.
Lets's calculate GCF of 8952,3610
2 | 8952, 3610 |
4476, 1805 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8952
:1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952
Now, list down the factors of 3610
:1,2,5,10,19,38,95,190,361,722,1805,3610
Greatest Common Factor
We found the factors 8952,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 8952,3610 is 2.
Lets's calculate LCM of 684,3226
2 | 684, 3226 |
342, 1613 |
∴ So the LCM of the given numbers is 2 x 342 x 1613 = 1103292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1103292
Therefore, the GCF of Fractions 8952/684,3610/3226 is 2/1103292
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 684,3226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,3226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,3226) x common factors =2 x 1 = 2
LCM(684,3226) = ( 684 × 3226 ) / 2
LCM(684,3226) = 2206584 / 2
LCM(684,3226) = 1103292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8952,3610?
The HCF of 8952,3610 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 8952/684, 3610/3226?
Answer: GCF of Numerators as per given numbers 8952/684, 3610/3226 is
GCF of Numerators i.e. for 8952,3610 is 2
LCM of denominators i.e. for 684,3226 is 1103292.
Thus, GCF of Fractions is 2/1103292.Finally, GCF of Fractions for 8952/684, 3610/3226 is 2/1103292.