Highest Common Factor of 687, 959, 443 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 687, 959, 443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 687, 959, 443 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 687, 959, 443 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 687, 959, 443 is 1.
HCF(687, 959, 443) = 1
HCF of 687, 959, 443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 687, 959, 443 is 1.
Highest Common Factor of 687,959,443 is 1
Step 1: Since 959 > 687, we apply the division lemma to 959 and 687, to get
959 = 687 x 1 + 272
Step 2: Since the reminder 687 ≠ 0, we apply division lemma to 272 and 687, to get
687 = 272 x 2 + 143
Step 3: We consider the new divisor 272 and the new remainder 143, and apply the division lemma to get
272 = 143 x 1 + 129
We consider the new divisor 143 and the new remainder 129,and apply the division lemma to get
143 = 129 x 1 + 14
We consider the new divisor 129 and the new remainder 14,and apply the division lemma to get
129 = 14 x 9 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 687 and 959 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(129,14) = HCF(143,129) = HCF(272,143) = HCF(687,272) = HCF(959,687) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 443 > 1, we apply the division lemma to 443 and 1, to get
443 = 1 x 443 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 443 is 1
Notice that 1 = HCF(443,1) .
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Frequently Asked Questions on HCF of 687, 959, 443 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 687, 959, 443?
Answer: HCF of 687, 959, 443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 687, 959, 443 using Euclid's Algorithm?
Answer: For arbitrary numbers 687, 959, 443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.