GCF of 19/70, 219/87, 266/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 19/70, 219/87, 266/547 i.e 1/3331230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/70, 219/87, 266/547.
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 19/70,219/87,266/547?
Given fractions are 19/70,219/87,266/547
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 19/70,219/87,266/547, numerators are 19,219,266
Denominators are 70,87,547
The GCF of 19,219,266 is 1 .
LCM of 70,87,547 is 3331230.
The greatest common factor of 19/70,219/87,266/547 = [GCF of 19,219,266]/[LCM of 70,87,547]= 1/3331230
Therefore, the GCF of 19/70,219/87,266/547 is 1/3331230.
To find the highest common factor of 19,219,266, we have to find the factors of both numbers and list the highest common factor.
The factors of 19 are 1, 19
The factors of 219 are 1, 3, 73, 219
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The HCF of 19,219,266 is 1.
Lets's calculate GCF of 19,219,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 19,219,266 By Matching Biggest Common Factor Method
Now, list down the factors of 19
:1,19
Now, list down the factors of 219
:1,3,73,219
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 19,219,266 . The biggest common factor number is the GCF number.
So the greatest common factor 19,219,266 is 1.
Lets's calculate LCM of 70,87,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 3331230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3331230
Therefore, the GCF of Fractions 19/70,219/87,266/547 is 1/3331230
Least Common Multiple of 70,87,547 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 70,87,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,87,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,87,547) x common factors =1 x 1 = 1
LCM(70,87,547) = ( 70 × 87 × 547 ) / 1
LCM(70,87,547) = 3331230 / 1
LCM(70,87,547) = 3331230
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FAQs on GCF of Fractions of 19/70, 219/87, 266/547
1. What is the HCF of 19,219,266?
The HCF of 19,219,266 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 19/70, 219/87, 266/547?
Answer: GCF of Numerators as per given numbers 19/70, 219/87, 266/547 is
GCF of Numerators i.e. for 19,219,266 is 1
LCM of denominators i.e. for 70,87,547 is 3331230.
Thus, GCF of Fractions is 1/3331230.Finally, GCF of Fractions for 19/70, 219/87, 266/547 is 1/3331230.