GCF of 5490/858, 7133/4435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5490/858, 7133/4435 i.e 1/3805230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5490/858, 7133/4435.
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 5490/858,7133/4435?
Given fractions are 5490/858,7133/4435
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 5490/858,7133/4435, numerators are 5490,7133
Denominators are 858,4435
The GCF of 5490,7133 is 1 .
LCM of 858,4435 is 3805230.
The greatest common factor of 5490/858,7133/4435 = [GCF of 5490,7133]/[LCM of 858,4435]= 1/3805230
Therefore, the GCF of 5490/858,7133/4435 is 1/3805230.
To find the highest common factor of 5490,7133, we have to find the factors of both numbers and list the highest common factor.
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The factors of 7133 are 1, 7, 1019, 7133
The HCF of 5490,7133 is 1.
Lets's calculate GCF of 5490,7133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5490,7133 By Matching Biggest Common Factor Method
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Now, list down the factors of 7133
:1,7,1019,7133
Greatest Common Factor
We found the factors 5490,7133 . The biggest common factor number is the GCF number.
So the greatest common factor 5490,7133 is 1.
Lets's calculate LCM of 858,4435
Given numbers has no common factors except 1. So, there LCM is their product i.e 3805230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3805230
Therefore, the GCF of Fractions 5490/858,7133/4435 is 1/3805230
Least Common Multiple of 858,4435 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 858,4435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,4435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,4435) x common factors =1 x 1 = 1
LCM(858,4435) = ( 858 × 4435 ) / 1
LCM(858,4435) = 3805230 / 1
LCM(858,4435) = 3805230
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FAQs on GCF of Fractions of 5490/858, 7133/4435
1. What is the HCF of 5490,7133?
The HCF of 5490,7133 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 5490/858, 7133/4435?
Answer: GCF of Numerators as per given numbers 5490/858, 7133/4435 is
GCF of Numerators i.e. for 5490,7133 is 1
LCM of denominators i.e. for 858,4435 is 3805230.
Thus, GCF of Fractions is 1/3805230.Finally, GCF of Fractions for 5490/858, 7133/4435 is 1/3805230.