GCF of 3956/302, 4102/2103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3956/302, 4102/2103 i.e 2/635106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3956/302, 4102/2103.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3956/302,4102/2103?
Given fractions are 3956/302,4102/2103
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 3956/302,4102/2103, numerators are 3956,4102
Denominators are 302,2103
The GCF of 3956,4102 is 2 .
LCM of 302,2103 is 635106.
The greatest common factor of 3956/302,4102/2103 = [GCF of 3956,4102]/[LCM of 302,2103]= 2/635106
Therefore, the GCF of 3956/302,4102/2103 is 2/635106.
To find the highest common factor of 3956,4102, we have to find the factors of both numbers and list the highest common factor.
The factors of 3956 are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956
The factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102
The HCF of 3956,4102 is 2.
Lets's calculate GCF of 3956,4102
| 2 | 3956, 4102 |
| 1978, 2051 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3956,4102 By Matching Biggest Common Factor Method
Now, list down the factors of 3956
:1,2,4,23,43,46,86,92,172,989,1978,3956
Now, list down the factors of 4102
:1,2,7,14,293,586,2051,4102
Greatest Common Factor
We found the factors 3956,4102 . The biggest common factor number is the GCF number.
So the greatest common factor 3956,4102 is 2.
Lets's calculate LCM of 302,2103
Given numbers has no common factors except 1. So, there LCM is their product i.e 635106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/635106
Therefore, the GCF of Fractions 3956/302,4102/2103 is 2/635106
Least Common Multiple of 302,2103 with GCF Formula
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 302,2103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,2103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,2103) x common factors =1 x 1 = 1
LCM(302,2103) = ( 302 × 2103 ) / 1
LCM(302,2103) = 635106 / 1
LCM(302,2103) = 635106
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FAQs on GCF of Fractions of 3956/302, 4102/2103
1. What is the HCF of 3956,4102?
The HCF of 3956,4102 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 3956/302, 4102/2103?
Answer: GCF of Numerators as per given numbers 3956/302, 4102/2103 is
GCF of Numerators i.e. for 3956,4102 is 2
LCM of denominators i.e. for 302,2103 is 635106.
Thus, GCF of Fractions is 2/635106.Finally, GCF of Fractions for 3956/302, 4102/2103 is 2/635106.