Highest Common Factor of 419, 867, 223 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 419, 867, 223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 419, 867, 223 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 419, 867, 223 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 419, 867, 223 is 1.
HCF(419, 867, 223) = 1
HCF of 419, 867, 223 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 419, 867, 223 is 1.
Highest Common Factor of 419,867,223 is 1
Step 1: Since 867 > 419, we apply the division lemma to 867 and 419, to get
867 = 419 x 2 + 29
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 29 and 419, to get
419 = 29 x 14 + 13
Step 3: We consider the new divisor 29 and the new remainder 13, and apply the division lemma to get
29 = 13 x 2 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 419 and 867 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(419,29) = HCF(867,419) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 223 > 1, we apply the division lemma to 223 and 1, to get
223 = 1 x 223 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 223 is 1
Notice that 1 = HCF(223,1) .
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Frequently Asked Questions on HCF of 419, 867, 223 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 419, 867, 223?
Answer: HCF of 419, 867, 223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 419, 867, 223 using Euclid's Algorithm?
Answer: For arbitrary numbers 419, 867, 223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.