Use our free GCF of Fractions Calculator tool to compute the GCF of 4/62, 35/52, 13/616, 930/783 i.e 1/194378184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/62, 35/52, 13/616, 930/783.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/62,35/52,13/616,930/783
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 4/62,35/52,13/616,930/783, numerators are 4,35,13,930
Denominators are 62,52,616,783
The GCF of 4,35,13,930 is 1 .
LCM of 62,52,616,783 is 194378184.
The greatest common factor of 4/62,35/52,13/616,930/783 = [GCF of 4,35,13,930]/[LCM of 62,52,616,783]= 1/194378184
Therefore, the GCF of 4/62,35/52,13/616,930/783 is 1/194378184.
To find the highest common factor of 4,35,13,930, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 35 are 1, 5, 7, 35
The factors of 13 are 1, 13
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The HCF of 4,35,13,930 is 1.
Lets's calculate GCF of 4,35,13,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 13
:1,13
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 4,35,13,930 . The biggest common factor number is the GCF number.
So the greatest common factor 4,35,13,930 is 1.
Lets's calculate LCM of 62,52,616,783
2 | 62, 52, 616, 783 |
2 | 31, 26, 308, 783 |
31, 13, 154, 783 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 13 x 154 x 783 = 194378184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194378184
Therefore, the GCF of Fractions 4/62,35/52,13/616,930/783 is 1/194378184
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 62,52,616,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,52,616,783) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(62,52,616,783) x common factors =1 x 8 = 8
LCM(62,52,616,783) = ( 62 × 52 × 616 × 783 ) / 8
LCM(62,52,616,783) = 1555025472 / 8
LCM(62,52,616,783) = 194378184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,35,13,930?
The HCF of 4,35,13,930 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 4/62, 35/52, 13/616, 930/783?
Answer: GCF of Numerators as per given numbers 4/62, 35/52, 13/616, 930/783 is
GCF of Numerators i.e. for 4,35,13,930 is 1
LCM of denominators i.e. for 62,52,616,783 is 194378184.
Thus, GCF of Fractions is 1/194378184.Finally, GCF of Fractions for 4/62, 35/52, 13/616, 930/783 is 1/194378184.