Use our free GCF of Fractions Calculator tool to compute the GCF of 4402/196, 2358/7633 i.e 2/1496068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4402/196, 2358/7633.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4402/196,2358/7633
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 4402/196,2358/7633, numerators are 4402,2358
Denominators are 196,7633
The GCF of 4402,2358 is 2 .
LCM of 196,7633 is 1496068.
The greatest common factor of 4402/196,2358/7633 = [GCF of 4402,2358]/[LCM of 196,7633]= 2/1496068
Therefore, the GCF of 4402/196,2358/7633 is 2/1496068.
To find the highest common factor of 4402,2358, we have to find the factors of both numbers and list the highest common factor.
The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402
The factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358
The HCF of 4402,2358 is 2.
Lets's calculate GCF of 4402,2358
2 | 4402, 2358 |
2201, 1179 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4402
:1,2,31,62,71,142,2201,4402
Now, list down the factors of 2358
:1,2,3,6,9,18,131,262,393,786,1179,2358
Greatest Common Factor
We found the factors 4402,2358 . The biggest common factor number is the GCF number.
So the greatest common factor 4402,2358 is 2.
Lets's calculate LCM of 196,7633
Given numbers has no common factors except 1. So, there LCM is their product i.e 1496068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1496068
Therefore, the GCF of Fractions 4402/196,2358/7633 is 2/1496068
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 196,7633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,7633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,7633) x common factors =1 x 1 = 1
LCM(196,7633) = ( 196 × 7633 ) / 1
LCM(196,7633) = 1496068 / 1
LCM(196,7633) = 1496068
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4402,2358?
The HCF of 4402,2358 is 2
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 4402/196, 2358/7633?
Answer: GCF of Numerators as per given numbers 4402/196, 2358/7633 is
GCF of Numerators i.e. for 4402,2358 is 2
LCM of denominators i.e. for 196,7633 is 1496068.
Thus, GCF of Fractions is 2/1496068.Finally, GCF of Fractions for 4402/196, 2358/7633 is 2/1496068.