Use our free GCF of Fractions Calculator tool to compute the GCF of 917/314, 154/387 i.e 7/121518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 917/314, 154/387.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 917/314,154/387
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 917/314,154/387, numerators are 917,154
Denominators are 314,387
The GCF of 917,154 is 7 .
LCM of 314,387 is 121518.
The greatest common factor of 917/314,154/387 = [GCF of 917,154]/[LCM of 314,387]= 7/121518
Therefore, the GCF of 917/314,154/387 is 7/121518.
To find the highest common factor of 917,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 917 are 1, 7, 131, 917
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 917,154 is 7.
Lets's calculate GCF of 917,154
7 | 917, 154 |
131, 22 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 917,154 . The biggest common factor number is the GCF number.
So the greatest common factor 917,154 is 7.
Lets's calculate LCM of 314,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 121518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/121518
Therefore, the GCF of Fractions 917/314,154/387 is 7/121518
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 314,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,387) x common factors =1 x 1 = 1
LCM(314,387) = ( 314 × 387 ) / 1
LCM(314,387) = 121518 / 1
LCM(314,387) = 121518
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 917,154?
The HCF of 917,154 is 7
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 917/314, 154/387?
Answer: GCF of Numerators as per given numbers 917/314, 154/387 is
GCF of Numerators i.e. for 917,154 is 7
LCM of denominators i.e. for 314,387 is 121518.
Thus, GCF of Fractions is 7/121518.Finally, GCF of Fractions for 917/314, 154/387 is 7/121518.