Use our free GCF of Fractions Calculator tool to compute the GCF of 34/731, 741/224, 635/176 i.e 1/1801184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/731, 741/224, 635/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/731,741/224,635/176
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 34/731,741/224,635/176, numerators are 34,741,635
Denominators are 731,224,176
The GCF of 34,741,635 is 1 .
LCM of 731,224,176 is 1801184.
The greatest common factor of 34/731,741/224,635/176 = [GCF of 34,741,635]/[LCM of 731,224,176]= 1/1801184
Therefore, the GCF of 34/731,741/224,635/176 is 1/1801184.
To find the highest common factor of 34,741,635, 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 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 635 are 1, 5, 127, 635
The HCF of 34,741,635 is 1.
Lets's calculate GCF of 34,741,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 635
:1,5,127,635
Greatest Common Factor
We found the factors 34,741,635 . The biggest common factor number is the GCF number.
So the greatest common factor 34,741,635 is 1.
Lets's calculate LCM of 731,224,176
2 | 731, 224, 176 |
2 | 731, 112, 88 |
2 | 731, 56, 44 |
2 | 731, 28, 22 |
731, 14, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 731 x 14 x 11 = 1801184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1801184
Therefore, the GCF of Fractions 34/731,741/224,635/176 is 1/1801184
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 731,224,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,224,176) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(731,224,176) x common factors =1 x 16 = 16
LCM(731,224,176) = ( 731 × 224 × 176 ) / 16
LCM(731,224,176) = 28818944 / 16
LCM(731,224,176) = 1801184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,741,635?
The HCF of 34,741,635 is 1
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 34/731, 741/224, 635/176?
Answer: GCF of Numerators as per given numbers 34/731, 741/224, 635/176 is
GCF of Numerators i.e. for 34,741,635 is 1
LCM of denominators i.e. for 731,224,176 is 1801184.
Thus, GCF of Fractions is 1/1801184.Finally, GCF of Fractions for 34/731, 741/224, 635/176 is 1/1801184.