Highest Common Factor of 551, 959, 714, 218 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 551, 959, 714, 218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 959, 714, 218 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 551, 959, 714, 218 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 551, 959, 714, 218 is 1.
HCF(551, 959, 714, 218) = 1
HCF of 551, 959, 714, 218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 551, 959, 714, 218 is 1.
Highest Common Factor of 551,959,714,218 is 1
Step 1: Since 959 > 551, we apply the division lemma to 959 and 551, to get
959 = 551 x 1 + 408
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 408 and 551, to get
551 = 408 x 1 + 143
Step 3: We consider the new divisor 408 and the new remainder 143, and apply the division lemma to get
408 = 143 x 2 + 122
We consider the new divisor 143 and the new remainder 122,and apply the division lemma to get
143 = 122 x 1 + 21
We consider the new divisor 122 and the new remainder 21,and apply the division lemma to get
122 = 21 x 5 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 959 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(122,21) = HCF(143,122) = HCF(408,143) = HCF(551,408) = HCF(959,551) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 714 > 1, we apply the division lemma to 714 and 1, to get
714 = 1 x 714 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 714 is 1
Notice that 1 = HCF(714,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 218 > 1, we apply the division lemma to 218 and 1, to get
218 = 1 x 218 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 218 is 1
Notice that 1 = HCF(218,1) .
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Frequently Asked Questions on HCF of 551, 959, 714, 218 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 551, 959, 714, 218?
Answer: HCF of 551, 959, 714, 218 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 959, 714, 218 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 959, 714, 218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.