Use our free GCF of Fractions Calculator tool to compute the GCF of 847/534, 363/951 i.e 121/169278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/534, 363/951.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/534,363/951
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 847/534,363/951, numerators are 847,363
Denominators are 534,951
The GCF of 847,363 is 121 .
LCM of 534,951 is 169278.
The greatest common factor of 847/534,363/951 = [GCF of 847,363]/[LCM of 534,951]= 121/169278
Therefore, the GCF of 847/534,363/951 is 121/169278.
To find the highest common factor of 847,363, we have to find the factors of both numbers and list the highest common factor.
The factors of 847 are 1, 7, 11, 77, 121, 847
The factors of 363 are 1, 3, 11, 33, 121, 363
The HCF of 847,363 is 121.
Lets's calculate GCF of 847,363
11 | 847, 363 |
11 | 77, 33 |
7, 3 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Now, list down the factors of 847
:1,7,11,77,121,847
Now, list down the factors of 363
:1,3,11,33,121,363
Greatest Common Factor
We found the factors 847,363 . The biggest common factor number is the GCF number.
So the greatest common factor 847,363 is 121.
Lets's calculate LCM of 534,951
3 | 534, 951 |
178, 317 |
∴ So the LCM of the given numbers is 3 x 178 x 317 = 169278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/169278
Therefore, the GCF of Fractions 847/534,363/951 is 121/169278
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 534,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(534,951) x common factors =3 x 1 = 3
LCM(534,951) = ( 534 × 951 ) / 3
LCM(534,951) = 507834 / 3
LCM(534,951) = 169278
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 847,363?
The HCF of 847,363 is 121
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 847/534, 363/951?
Answer: GCF of Numerators as per given numbers 847/534, 363/951 is
GCF of Numerators i.e. for 847,363 is 121
LCM of denominators i.e. for 534,951 is 169278.
Thus, GCF of Fractions is 121/169278.Finally, GCF of Fractions for 847/534, 363/951 is 121/169278.