GCF of 5426/546, 8027/3203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5426/546, 8027/3203 i.e 1/1748838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5426/546, 8027/3203.
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 5426/546,8027/3203?
Given fractions are 5426/546,8027/3203
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 5426/546,8027/3203, numerators are 5426,8027
Denominators are 546,3203
The GCF of 5426,8027 is 1 .
LCM of 546,3203 is 1748838.
The greatest common factor of 5426/546,8027/3203 = [GCF of 5426,8027]/[LCM of 546,3203]= 1/1748838
Therefore, the GCF of 5426/546,8027/3203 is 1/1748838.
To find the highest common factor of 5426,8027, we have to find the factors of both numbers and list the highest common factor.
The factors of 5426 are 1, 2, 2713, 5426
The factors of 8027 are 1, 23, 349, 8027
The HCF of 5426,8027 is 1.
Lets's calculate GCF of 5426,8027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5426,8027 By Matching Biggest Common Factor Method
Now, list down the factors of 5426
:1,2,2713,5426
Now, list down the factors of 8027
:1,23,349,8027
Greatest Common Factor
We found the factors 5426,8027 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,8027 is 1.
Lets's calculate LCM of 546,3203
Given numbers has no common factors except 1. So, there LCM is their product i.e 1748838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1748838
Therefore, the GCF of Fractions 5426/546,8027/3203 is 1/1748838
Least Common Multiple of 546,3203 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 546,3203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,3203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,3203) x common factors =1 x 1 = 1
LCM(546,3203) = ( 546 × 3203 ) / 1
LCM(546,3203) = 1748838 / 1
LCM(546,3203) = 1748838
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FAQs on GCF of Fractions of 5426/546, 8027/3203
1. What is the HCF of 5426,8027?
The HCF of 5426,8027 is 1
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 5426/546, 8027/3203?
Answer: GCF of Numerators as per given numbers 5426/546, 8027/3203 is
GCF of Numerators i.e. for 5426,8027 is 1
LCM of denominators i.e. for 546,3203 is 1748838.
Thus, GCF of Fractions is 1/1748838.Finally, GCF of Fractions for 5426/546, 8027/3203 is 1/1748838.