Use our free GCF of Fractions Calculator tool to compute the GCF of 98/89, 854/14, 714/636 i.e 14/396228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/89, 854/14, 714/636.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/89,854/14,714/636
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 98/89,854/14,714/636, numerators are 98,854,714
Denominators are 89,14,636
The GCF of 98,854,714 is 14 .
LCM of 89,14,636 is 396228.
The greatest common factor of 98/89,854/14,714/636 = [GCF of 98,854,714]/[LCM of 89,14,636]= 14/396228
Therefore, the GCF of 98/89,854/14,714/636 is 14/396228.
To find the highest common factor of 98,854,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 98,854,714 is 14.
Lets's calculate GCF of 98,854,714
2 | 98, 854, 714 |
7 | 49, 427, 357 |
7, 61, 51 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 98,854,714 . The biggest common factor number is the GCF number.
So the greatest common factor 98,854,714 is 14.
Lets's calculate LCM of 89,14,636
2 | 89, 14, 636 |
89, 7, 318 |
∴ So the LCM of the given numbers is 2 x 89 x 7 x 318 = 396228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/396228
Therefore, the GCF of Fractions 98/89,854/14,714/636 is 14/396228
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 89,14,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,14,636) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,14,636) x common factors =1 x 2 = 2
LCM(89,14,636) = ( 89 × 14 × 636 ) / 2
LCM(89,14,636) = 792456 / 2
LCM(89,14,636) = 396228
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,854,714?
The HCF of 98,854,714 is 14
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 98/89, 854/14, 714/636?
Answer: GCF of Numerators as per given numbers 98/89, 854/14, 714/636 is
GCF of Numerators i.e. for 98,854,714 is 14
LCM of denominators i.e. for 89,14,636 is 396228.
Thus, GCF of Fractions is 14/396228.Finally, GCF of Fractions for 98/89, 854/14, 714/636 is 14/396228.