Use our free GCF of Fractions Calculator tool to compute the GCF of 745/342, 880/746 i.e 5/127566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 745/342, 880/746.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 745/342,880/746
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 745/342,880/746, numerators are 745,880
Denominators are 342,746
The GCF of 745,880 is 5 .
LCM of 342,746 is 127566.
The greatest common factor of 745/342,880/746 = [GCF of 745,880]/[LCM of 342,746]= 5/127566
Therefore, the GCF of 745/342,880/746 is 5/127566.
To find the highest common factor of 745,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 745 are 1, 5, 149, 745
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 745,880 is 5.
Lets's calculate GCF of 745,880
5 | 745, 880 |
149, 176 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 745
:1,5,149,745
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 745,880 . The biggest common factor number is the GCF number.
So the greatest common factor 745,880 is 5.
Lets's calculate LCM of 342,746
2 | 342, 746 |
171, 373 |
∴ So the LCM of the given numbers is 2 x 171 x 373 = 127566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/127566
Therefore, the GCF of Fractions 745/342,880/746 is 5/127566
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 342,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,746) x common factors =2 x 1 = 2
LCM(342,746) = ( 342 × 746 ) / 2
LCM(342,746) = 255132 / 2
LCM(342,746) = 127566
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 745,880?
The HCF of 745,880 is 5
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 745/342, 880/746?
Answer: GCF of Numerators as per given numbers 745/342, 880/746 is
GCF of Numerators i.e. for 745,880 is 5
LCM of denominators i.e. for 342,746 is 127566.
Thus, GCF of Fractions is 5/127566.Finally, GCF of Fractions for 745/342, 880/746 is 5/127566.