GCF of 5311/549, 3446/9568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5311/549, 3446/9568 i.e 1/5252832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5311/549, 3446/9568.
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 5311/549,3446/9568?
Given fractions are 5311/549,3446/9568
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 5311/549,3446/9568, numerators are 5311,3446
Denominators are 549,9568
The GCF of 5311,3446 is 1 .
LCM of 549,9568 is 5252832.
The greatest common factor of 5311/549,3446/9568 = [GCF of 5311,3446]/[LCM of 549,9568]= 1/5252832
Therefore, the GCF of 5311/549,3446/9568 is 1/5252832.
To find the highest common factor of 5311,3446, we have to find the factors of both numbers and list the highest common factor.
The factors of 5311 are 1, 47, 113, 5311
The factors of 3446 are 1, 2, 1723, 3446
The HCF of 5311,3446 is 1.
Lets's calculate GCF of 5311,3446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5311,3446 By Matching Biggest Common Factor Method
Now, list down the factors of 5311
:1,47,113,5311
Now, list down the factors of 3446
:1,2,1723,3446
Greatest Common Factor
We found the factors 5311,3446 . The biggest common factor number is the GCF number.
So the greatest common factor 5311,3446 is 1.
Lets's calculate LCM of 549,9568
Given numbers has no common factors except 1. So, there LCM is their product i.e 5252832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5252832
Therefore, the GCF of Fractions 5311/549,3446/9568 is 1/5252832
Least Common Multiple of 549,9568 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 549,9568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,9568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,9568) x common factors =1 x 1 = 1
LCM(549,9568) = ( 549 × 9568 ) / 1
LCM(549,9568) = 5252832 / 1
LCM(549,9568) = 5252832
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FAQs on GCF of Fractions of 5311/549, 3446/9568
1. What is the HCF of 5311,3446?
The HCF of 5311,3446 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 5311/549, 3446/9568?
Answer: GCF of Numerators as per given numbers 5311/549, 3446/9568 is
GCF of Numerators i.e. for 5311,3446 is 1
LCM of denominators i.e. for 549,9568 is 5252832.
Thus, GCF of Fractions is 1/5252832.Finally, GCF of Fractions for 5311/549, 3446/9568 is 1/5252832.