Highest Common Factor of 556, 695, 469 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 556, 695, 469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 695, 469 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 556, 695, 469 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 556, 695, 469 is 1.
HCF(556, 695, 469) = 1
HCF of 556, 695, 469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 556, 695, 469 is 1.
Highest Common Factor of 556,695,469 is 1
Step 1: Since 695 > 556, we apply the division lemma to 695 and 556, to get
695 = 556 x 1 + 139
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 139 and 556, to get
556 = 139 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 139, the HCF of 556 and 695 is 139
Notice that 139 = HCF(556,139) = HCF(695,556) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 469 > 139, we apply the division lemma to 469 and 139, to get
469 = 139 x 3 + 52
Step 2: Since the reminder 139 ≠ 0, we apply division lemma to 52 and 139, to get
139 = 52 x 2 + 35
Step 3: We consider the new divisor 52 and the new remainder 35, and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 139 and 469 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(139,52) = HCF(469,139) .
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Frequently Asked Questions on HCF of 556, 695, 469 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 556, 695, 469?
Answer: HCF of 556, 695, 469 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 695, 469 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 695, 469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.