GCF of 236/887, 711/545, 421/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/887, 711/545, 421/491 i.e 1/237356765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/887, 711/545, 421/491.
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 236/887,711/545,421/491?
Given fractions are 236/887,711/545,421/491
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 236/887,711/545,421/491, numerators are 236,711,421
Denominators are 887,545,491
The GCF of 236,711,421 is 1 .
LCM of 887,545,491 is 237356765.
The greatest common factor of 236/887,711/545,421/491 = [GCF of 236,711,421]/[LCM of 887,545,491]= 1/237356765
Therefore, the GCF of 236/887,711/545,421/491 is 1/237356765.
To find the highest common factor of 236,711,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 421 are 1, 421
The HCF of 236,711,421 is 1.
Lets's calculate GCF of 236,711,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 236,711,421 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 236,711,421 . The biggest common factor number is the GCF number.
So the greatest common factor 236,711,421 is 1.
Lets's calculate LCM of 887,545,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 237356765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237356765
Therefore, the GCF of Fractions 236/887,711/545,421/491 is 1/237356765
Least Common Multiple of 887,545,491 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 887,545,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,545,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,545,491) x common factors =1 x 1 = 1
LCM(887,545,491) = ( 887 × 545 × 491 ) / 1
LCM(887,545,491) = 237356765 / 1
LCM(887,545,491) = 237356765
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FAQs on GCF of Fractions of 236/887, 711/545, 421/491
1. What is the HCF of 236,711,421?
The HCF of 236,711,421 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 236/887, 711/545, 421/491?
Answer: GCF of Numerators as per given numbers 236/887, 711/545, 421/491 is
GCF of Numerators i.e. for 236,711,421 is 1
LCM of denominators i.e. for 887,545,491 is 237356765.
Thus, GCF of Fractions is 1/237356765.Finally, GCF of Fractions for 236/887, 711/545, 421/491 is 1/237356765.