Use our free GCF of Fractions Calculator tool to compute the GCF of 1566/708, 6380/7126 i.e 58/2522604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1566/708, 6380/7126.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1566/708,6380/7126
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 1566/708,6380/7126, numerators are 1566,6380
Denominators are 708,7126
The GCF of 1566,6380 is 58 .
LCM of 708,7126 is 2522604.
The greatest common factor of 1566/708,6380/7126 = [GCF of 1566,6380]/[LCM of 708,7126]= 58/2522604
Therefore, the GCF of 1566/708,6380/7126 is 58/2522604.
To find the highest common factor of 1566,6380, we have to find the factors of both numbers and list the highest common factor.
The factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566
The factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380
The HCF of 1566,6380 is 58.
Lets's calculate GCF of 1566,6380
2 | 1566, 6380 |
29 | 783, 3190 |
27, 110 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Now, list down the factors of 1566
:1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Now, list down the factors of 6380
:1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380
Greatest Common Factor
We found the factors 1566,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 1566,6380 is 58.
Lets's calculate LCM of 708,7126
2 | 708, 7126 |
354, 3563 |
∴ So the LCM of the given numbers is 2 x 354 x 3563 = 2522604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/2522604
Therefore, the GCF of Fractions 1566/708,6380/7126 is 58/2522604
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 708,7126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,7126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,7126) x common factors =2 x 1 = 2
LCM(708,7126) = ( 708 × 7126 ) / 2
LCM(708,7126) = 5045208 / 2
LCM(708,7126) = 2522604
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1566,6380?
The HCF of 1566,6380 is 58
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 1566/708, 6380/7126?
Answer: GCF of Numerators as per given numbers 1566/708, 6380/7126 is
GCF of Numerators i.e. for 1566,6380 is 58
LCM of denominators i.e. for 708,7126 is 2522604.
Thus, GCF of Fractions is 58/2522604.Finally, GCF of Fractions for 1566/708, 6380/7126 is 58/2522604.