Use our free GCF of Fractions Calculator tool to compute the GCF of 76/86, 698/51, 902/832 i.e 2/1824576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/86, 698/51, 902/832.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/86,698/51,902/832
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 76/86,698/51,902/832, numerators are 76,698,902
Denominators are 86,51,832
The GCF of 76,698,902 is 2 .
LCM of 86,51,832 is 1824576.
The greatest common factor of 76/86,698/51,902/832 = [GCF of 76,698,902]/[LCM of 86,51,832]= 2/1824576
Therefore, the GCF of 76/86,698/51,902/832 is 2/1824576.
To find the highest common factor of 76,698,902, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 698 are 1, 2, 349, 698
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The HCF of 76,698,902 is 2.
Lets's calculate GCF of 76,698,902
2 | 76, 698, 902 |
38, 349, 451 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 76,698,902 . The biggest common factor number is the GCF number.
So the greatest common factor 76,698,902 is 2.
Lets's calculate LCM of 86,51,832
2 | 86, 51, 832 |
43, 51, 416 |
∴ So the LCM of the given numbers is 2 x 43 x 51 x 416 = 1824576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1824576
Therefore, the GCF of Fractions 76/86,698/51,902/832 is 2/1824576
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 86,51,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,51,832) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,51,832) x common factors =1 x 2 = 2
LCM(86,51,832) = ( 86 × 51 × 832 ) / 2
LCM(86,51,832) = 3649152 / 2
LCM(86,51,832) = 1824576
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 76,698,902?
The HCF of 76,698,902 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 76/86, 698/51, 902/832?
Answer: GCF of Numerators as per given numbers 76/86, 698/51, 902/832 is
GCF of Numerators i.e. for 76,698,902 is 2
LCM of denominators i.e. for 86,51,832 is 1824576.
Thus, GCF of Fractions is 2/1824576.Finally, GCF of Fractions for 76/86, 698/51, 902/832 is 2/1824576.