GCF of 5633/727, 6198/7009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5633/727, 6198/7009 i.e 1/5095543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5633/727, 6198/7009.
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 5633/727,6198/7009?
Given fractions are 5633/727,6198/7009
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 5633/727,6198/7009, numerators are 5633,6198
Denominators are 727,7009
The GCF of 5633,6198 is 1 .
LCM of 727,7009 is 5095543.
The greatest common factor of 5633/727,6198/7009 = [GCF of 5633,6198]/[LCM of 727,7009]= 1/5095543
Therefore, the GCF of 5633/727,6198/7009 is 1/5095543.
To find the highest common factor of 5633,6198, we have to find the factors of both numbers and list the highest common factor.
The factors of 5633 are 1, 43, 131, 5633
The factors of 6198 are 1, 2, 3, 6, 1033, 2066, 3099, 6198
The HCF of 5633,6198 is 1.
Lets's calculate GCF of 5633,6198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5633,6198 By Matching Biggest Common Factor Method
Now, list down the factors of 5633
:1,43,131,5633
Now, list down the factors of 6198
:1,2,3,6,1033,2066,3099,6198
Greatest Common Factor
We found the factors 5633,6198 . The biggest common factor number is the GCF number.
So the greatest common factor 5633,6198 is 1.
Lets's calculate LCM of 727,7009
Given numbers has no common factors except 1. So, there LCM is their product i.e 5095543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5095543
Therefore, the GCF of Fractions 5633/727,6198/7009 is 1/5095543
Least Common Multiple of 727,7009 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 727,7009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,7009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,7009) x common factors =1 x 1 = 1
LCM(727,7009) = ( 727 × 7009 ) / 1
LCM(727,7009) = 5095543 / 1
LCM(727,7009) = 5095543
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FAQs on GCF of Fractions of 5633/727, 6198/7009
1. What is the HCF of 5633,6198?
The HCF of 5633,6198 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 5633/727, 6198/7009?
Answer: GCF of Numerators as per given numbers 5633/727, 6198/7009 is
GCF of Numerators i.e. for 5633,6198 is 1
LCM of denominators i.e. for 727,7009 is 5095543.
Thus, GCF of Fractions is 1/5095543.Finally, GCF of Fractions for 5633/727, 6198/7009 is 1/5095543.