GCF of 547/74, 498/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 547/74, 498/269 i.e 1/19906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/74, 498/269.
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 547/74,498/269?
Given fractions are 547/74,498/269
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 547/74,498/269, numerators are 547,498
Denominators are 74,269
The GCF of 547,498 is 1 .
LCM of 74,269 is 19906.
The greatest common factor of 547/74,498/269 = [GCF of 547,498]/[LCM of 74,269]= 1/19906
Therefore, the GCF of 547/74,498/269 is 1/19906.
To find the highest common factor of 547,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 547,498 is 1.
Lets's calculate GCF of 547,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 547,498 By Matching Biggest Common Factor Method
Now, list down the factors of 547
:1,547
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 547,498 . The biggest common factor number is the GCF number.
So the greatest common factor 547,498 is 1.
Lets's calculate LCM of 74,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 19906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19906
Therefore, the GCF of Fractions 547/74,498/269 is 1/19906
Least Common Multiple of 74,269 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 74,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,269) x common factors =1 x 1 = 1
LCM(74,269) = ( 74 × 269 ) / 1
LCM(74,269) = 19906 / 1
LCM(74,269) = 19906
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FAQs on GCF of Fractions of 547/74, 498/269
1. What is the HCF of 547,498?
The HCF of 547,498 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 547/74, 498/269?
Answer: GCF of Numerators as per given numbers 547/74, 498/269 is
GCF of Numerators i.e. for 547,498 is 1
LCM of denominators i.e. for 74,269 is 19906.
Thus, GCF of Fractions is 1/19906.Finally, GCF of Fractions for 547/74, 498/269 is 1/19906.