Use our free GCF of Fractions Calculator tool to compute the GCF of 915/680, 854/368 i.e 61/31280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/680, 854/368.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/680,854/368
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 915/680,854/368, numerators are 915,854
Denominators are 680,368
The GCF of 915,854 is 61 .
LCM of 680,368 is 31280.
The greatest common factor of 915/680,854/368 = [GCF of 915,854]/[LCM of 680,368]= 61/31280
Therefore, the GCF of 915/680,854/368 is 61/31280.
To find the highest common factor of 915,854, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The HCF of 915,854 is 61.
Lets's calculate GCF of 915,854
61 | 915, 854 |
15, 14 |
∴ So the GCF of the given numbers is 61 = 61
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 915,854 . The biggest common factor number is the GCF number.
So the greatest common factor 915,854 is 61.
Lets's calculate LCM of 680,368
2 | 680, 368 |
2 | 340, 184 |
2 | 170, 92 |
85, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 46 = 31280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/31280
Therefore, the GCF of Fractions 915/680,854/368 is 61/31280
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 680,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,368) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(680,368) x common factors =8 x 1 = 8
LCM(680,368) = ( 680 × 368 ) / 8
LCM(680,368) = 250240 / 8
LCM(680,368) = 31280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 915,854?
The HCF of 915,854 is 61
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 915/680, 854/368?
Answer: GCF of Numerators as per given numbers 915/680, 854/368 is
GCF of Numerators i.e. for 915,854 is 61
LCM of denominators i.e. for 680,368 is 31280.
Thus, GCF of Fractions is 61/31280.Finally, GCF of Fractions for 915/680, 854/368 is 61/31280.