GCF of 5438/103, 3806/7521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5438/103, 3806/7521 i.e 2/774663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5438/103, 3806/7521.
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 5438/103,3806/7521?
Given fractions are 5438/103,3806/7521
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 5438/103,3806/7521, numerators are 5438,3806
Denominators are 103,7521
The GCF of 5438,3806 is 2 .
LCM of 103,7521 is 774663.
The greatest common factor of 5438/103,3806/7521 = [GCF of 5438,3806]/[LCM of 103,7521]= 2/774663
Therefore, the GCF of 5438/103,3806/7521 is 2/774663.
To find the highest common factor of 5438,3806, we have to find the factors of both numbers and list the highest common factor.
The factors of 5438 are 1, 2, 2719, 5438
The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806
The HCF of 5438,3806 is 2.
Lets's calculate GCF of 5438,3806
| 2 | 5438, 3806 |
| 2719, 1903 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5438,3806 By Matching Biggest Common Factor Method
Now, list down the factors of 5438
:1,2,2719,5438
Now, list down the factors of 3806
:1,2,11,22,173,346,1903,3806
Greatest Common Factor
We found the factors 5438,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,3806 is 2.
Lets's calculate LCM of 103,7521
Given numbers has no common factors except 1. So, there LCM is their product i.e 774663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/774663
Therefore, the GCF of Fractions 5438/103,3806/7521 is 2/774663
Least Common Multiple of 103,7521 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 103,7521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,7521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,7521) x common factors =1 x 1 = 1
LCM(103,7521) = ( 103 × 7521 ) / 1
LCM(103,7521) = 774663 / 1
LCM(103,7521) = 774663
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5438/103, 3806/7521
1. What is the HCF of 5438,3806?
The HCF of 5438,3806 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 5438/103, 3806/7521?
Answer: GCF of Numerators as per given numbers 5438/103, 3806/7521 is
GCF of Numerators i.e. for 5438,3806 is 2
LCM of denominators i.e. for 103,7521 is 774663.
Thus, GCF of Fractions is 2/774663.Finally, GCF of Fractions for 5438/103, 3806/7521 is 2/774663.