GCF of 179/500, 4214/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 179/500, 4214/547 i.e 1/273500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/500, 4214/547.
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 179/500,4214/547?
Given fractions are 179/500,4214/547
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 179/500,4214/547, numerators are 179,4214
Denominators are 500,547
The GCF of 179,4214 is 1 .
LCM of 500,547 is 273500.
The greatest common factor of 179/500,4214/547 = [GCF of 179,4214]/[LCM of 500,547]= 1/273500
Therefore, the GCF of 179/500,4214/547 is 1/273500.
To find the highest common factor of 179,4214, we have to find the factors of both numbers and list the highest common factor.
The factors of 179 are 1, 179
The factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214
The HCF of 179,4214 is 1.
Lets's calculate GCF of 179,4214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 179,4214 By Matching Biggest Common Factor Method
Now, list down the factors of 179
:1,179
Now, list down the factors of 4214
:1,2,7,14,43,49,86,98,301,602,2107,4214
Greatest Common Factor
We found the factors 179,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 179,4214 is 1.
Lets's calculate LCM of 500,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 273500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273500
Therefore, the GCF of Fractions 179/500,4214/547 is 1/273500
Least Common Multiple of 500,547 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 500,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,547) x common factors =1 x 1 = 1
LCM(500,547) = ( 500 × 547 ) / 1
LCM(500,547) = 273500 / 1
LCM(500,547) = 273500
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FAQs on GCF of Fractions of 179/500, 4214/547
1. What is the HCF of 179,4214?
The HCF of 179,4214 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 179/500, 4214/547?
Answer: GCF of Numerators as per given numbers 179/500, 4214/547 is
GCF of Numerators i.e. for 179,4214 is 1
LCM of denominators i.e. for 500,547 is 273500.
Thus, GCF of Fractions is 1/273500.Finally, GCF of Fractions for 179/500, 4214/547 is 1/273500.