GCF of 5529/215, 8456/5734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5529/215, 8456/5734 i.e 1/1232810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5529/215, 8456/5734.
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 5529/215,8456/5734?
Given fractions are 5529/215,8456/5734
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 5529/215,8456/5734, numerators are 5529,8456
Denominators are 215,5734
The GCF of 5529,8456 is 1 .
LCM of 215,5734 is 1232810.
The greatest common factor of 5529/215,8456/5734 = [GCF of 5529,8456]/[LCM of 215,5734]= 1/1232810
Therefore, the GCF of 5529/215,8456/5734 is 1/1232810.
To find the highest common factor of 5529,8456, we have to find the factors of both numbers and list the highest common factor.
The factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529
The factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456
The HCF of 5529,8456 is 1.
Lets's calculate GCF of 5529,8456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5529,8456 By Matching Biggest Common Factor Method
Now, list down the factors of 5529
:1,3,19,57,97,291,1843,5529
Now, list down the factors of 8456
:1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Greatest Common Factor
We found the factors 5529,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 5529,8456 is 1.
Lets's calculate LCM of 215,5734
Given numbers has no common factors except 1. So, there LCM is their product i.e 1232810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1232810
Therefore, the GCF of Fractions 5529/215,8456/5734 is 1/1232810
Least Common Multiple of 215,5734 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 215,5734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,5734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,5734) x common factors =1 x 1 = 1
LCM(215,5734) = ( 215 × 5734 ) / 1
LCM(215,5734) = 1232810 / 1
LCM(215,5734) = 1232810
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FAQs on GCF of Fractions of 5529/215, 8456/5734
1. What is the HCF of 5529,8456?
The HCF of 5529,8456 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 5529/215, 8456/5734?
Answer: GCF of Numerators as per given numbers 5529/215, 8456/5734 is
GCF of Numerators i.e. for 5529,8456 is 1
LCM of denominators i.e. for 215,5734 is 1232810.
Thus, GCF of Fractions is 1/1232810.Finally, GCF of Fractions for 5529/215, 8456/5734 is 1/1232810.