Highest Common Factor of 966, 556, 230, 586 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 966, 556, 230, 586 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 966, 556, 230, 586 is 2 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 966, 556, 230, 586 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 966, 556, 230, 586 is 2.
HCF(966, 556, 230, 586) = 2
HCF of 966, 556, 230, 586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 966, 556, 230, 586 is 2.
Highest Common Factor of 966,556,230,586 is 2
Step 1: Since 966 > 556, we apply the division lemma to 966 and 556, to get
966 = 556 x 1 + 410
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 410 and 556, to get
556 = 410 x 1 + 146
Step 3: We consider the new divisor 410 and the new remainder 146, and apply the division lemma to get
410 = 146 x 2 + 118
We consider the new divisor 146 and the new remainder 118,and apply the division lemma to get
146 = 118 x 1 + 28
We consider the new divisor 118 and the new remainder 28,and apply the division lemma to get
118 = 28 x 4 + 6
We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get
28 = 6 x 4 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 966 and 556 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(118,28) = HCF(146,118) = HCF(410,146) = HCF(556,410) = HCF(966,556) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 230 > 2, we apply the division lemma to 230 and 2, to get
230 = 2 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 230 is 2
Notice that 2 = HCF(230,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 586 > 2, we apply the division lemma to 586 and 2, to get
586 = 2 x 293 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 586 is 2
Notice that 2 = HCF(586,2) .
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Frequently Asked Questions on HCF of 966, 556, 230, 586 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 966, 556, 230, 586?
Answer: HCF of 966, 556, 230, 586 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 966, 556, 230, 586 using Euclid's Algorithm?
Answer: For arbitrary numbers 966, 556, 230, 586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.