Use our free GCF of Fractions Calculator tool to compute the GCF of 4730/385, 3397/1202 i.e 43/462770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4730/385, 3397/1202.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4730/385,3397/1202
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 4730/385,3397/1202, numerators are 4730,3397
Denominators are 385,1202
The GCF of 4730,3397 is 43 .
LCM of 385,1202 is 462770.
The greatest common factor of 4730/385,3397/1202 = [GCF of 4730,3397]/[LCM of 385,1202]= 43/462770
Therefore, the GCF of 4730/385,3397/1202 is 43/462770.
To find the highest common factor of 4730,3397, we have to find the factors of both numbers and list the highest common factor.
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The factors of 3397 are 1, 43, 79, 3397
The HCF of 4730,3397 is 43.
Lets's calculate GCF of 4730,3397
43 | 4730, 3397 |
110, 79 |
∴ So the GCF of the given numbers is 43 = 43
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Now, list down the factors of 3397
:1,43,79,3397
Greatest Common Factor
We found the factors 4730,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 4730,3397 is 43.
Lets's calculate LCM of 385,1202
Given numbers has no common factors except 1. So, there LCM is their product i.e 462770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/462770
Therefore, the GCF of Fractions 4730/385,3397/1202 is 43/462770
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 385,1202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,1202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,1202) x common factors =1 x 1 = 1
LCM(385,1202) = ( 385 × 1202 ) / 1
LCM(385,1202) = 462770 / 1
LCM(385,1202) = 462770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4730,3397?
The HCF of 4730,3397 is 43
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 4730/385, 3397/1202?
Answer: GCF of Numerators as per given numbers 4730/385, 3397/1202 is
GCF of Numerators i.e. for 4730,3397 is 43
LCM of denominators i.e. for 385,1202 is 462770.
Thus, GCF of Fractions is 43/462770.Finally, GCF of Fractions for 4730/385, 3397/1202 is 43/462770.