Use our free GCF of Fractions Calculator tool to compute the GCF of 34/48, 918/83, 391/764 i.e 17/760944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/48, 918/83, 391/764.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/48,918/83,391/764
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 34/48,918/83,391/764, numerators are 34,918,391
Denominators are 48,83,764
The GCF of 34,918,391 is 17 .
LCM of 48,83,764 is 760944.
The greatest common factor of 34/48,918/83,391/764 = [GCF of 34,918,391]/[LCM of 48,83,764]= 17/760944
Therefore, the GCF of 34/48,918/83,391/764 is 17/760944.
To find the highest common factor of 34,918,391, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The factors of 391 are 1, 17, 23, 391
The HCF of 34,918,391 is 17.
Lets's calculate GCF of 34,918,391
17 | 34, 918, 391 |
2, 54, 23 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Now, list down the factors of 391
:1,17,23,391
Greatest Common Factor
We found the factors 34,918,391 . The biggest common factor number is the GCF number.
So the greatest common factor 34,918,391 is 17.
Lets's calculate LCM of 48,83,764
2 | 48, 83, 764 |
2 | 24, 83, 382 |
12, 83, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 12 x 83 x 191 = 760944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/760944
Therefore, the GCF of Fractions 34/48,918/83,391/764 is 17/760944
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 48,83,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,83,764) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(48,83,764) x common factors =1 x 4 = 4
LCM(48,83,764) = ( 48 × 83 × 764 ) / 4
LCM(48,83,764) = 3043776 / 4
LCM(48,83,764) = 760944
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,918,391?
The HCF of 34,918,391 is 17
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 34/48, 918/83, 391/764?
Answer: GCF of Numerators as per given numbers 34/48, 918/83, 391/764 is
GCF of Numerators i.e. for 34,918,391 is 17
LCM of denominators i.e. for 48,83,764 is 760944.
Thus, GCF of Fractions is 17/760944.Finally, GCF of Fractions for 34/48, 918/83, 391/764 is 17/760944.