Highest Common Factor of 473, 564, 241 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 473, 564, 241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 473, 564, 241 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 473, 564, 241 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 473, 564, 241 is 1.
HCF(473, 564, 241) = 1
HCF of 473, 564, 241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 473, 564, 241 is 1.
Highest Common Factor of 473,564,241 is 1
Step 1: Since 564 > 473, we apply the division lemma to 564 and 473, to get
564 = 473 x 1 + 91
Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 91 and 473, to get
473 = 91 x 5 + 18
Step 3: We consider the new divisor 91 and the new remainder 18, and apply the division lemma to get
91 = 18 x 5 + 1
We consider the new divisor 18 and the new remainder 1, and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 473 and 564 is 1
Notice that 1 = HCF(18,1) = HCF(91,18) = HCF(473,91) = HCF(564,473) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 241 > 1, we apply the division lemma to 241 and 1, to get
241 = 1 x 241 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 241 is 1
Notice that 1 = HCF(241,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 473, 564, 241 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 473, 564, 241?
Answer: HCF of 473, 564, 241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 473, 564, 241 using Euclid's Algorithm?
Answer: For arbitrary numbers 473, 564, 241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.