GCF of 402/304, 5438/913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 402/304, 5438/913 i.e 2/277552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/304, 5438/913.
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 402/304,5438/913?
Given fractions are 402/304,5438/913
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 402/304,5438/913, numerators are 402,5438
Denominators are 304,913
The GCF of 402,5438 is 2 .
LCM of 304,913 is 277552.
The greatest common factor of 402/304,5438/913 = [GCF of 402,5438]/[LCM of 304,913]= 2/277552
Therefore, the GCF of 402/304,5438/913 is 2/277552.
To find the highest common factor of 402,5438, we have to find the factors of both numbers and list the highest common factor.
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The factors of 5438 are 1, 2, 2719, 5438
The HCF of 402,5438 is 2.
Lets's calculate GCF of 402,5438
| 2 | 402, 5438 |
| 201, 2719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 402,5438 By Matching Biggest Common Factor Method
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Now, list down the factors of 5438
:1,2,2719,5438
Greatest Common Factor
We found the factors 402,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 402,5438 is 2.
Lets's calculate LCM of 304,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 277552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/277552
Therefore, the GCF of Fractions 402/304,5438/913 is 2/277552
Least Common Multiple of 304,913 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 304,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,913) x common factors =1 x 1 = 1
LCM(304,913) = ( 304 × 913 ) / 1
LCM(304,913) = 277552 / 1
LCM(304,913) = 277552
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FAQs on GCF of Fractions of 402/304, 5438/913
1. What is the HCF of 402,5438?
The HCF of 402,5438 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 402/304, 5438/913?
Answer: GCF of Numerators as per given numbers 402/304, 5438/913 is
GCF of Numerators i.e. for 402,5438 is 2
LCM of denominators i.e. for 304,913 is 277552.
Thus, GCF of Fractions is 2/277552.Finally, GCF of Fractions for 402/304, 5438/913 is 2/277552.