Highest Common Factor of 964, 402, 86, 576 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 964, 402, 86, 576 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 964, 402, 86, 576 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 964, 402, 86, 576 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 964, 402, 86, 576 is 2.
HCF(964, 402, 86, 576) = 2
HCF of 964, 402, 86, 576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 964, 402, 86, 576 is 2.
Highest Common Factor of 964,402,86,576 is 2
Step 1: Since 964 > 402, we apply the division lemma to 964 and 402, to get
964 = 402 x 2 + 160
Step 2: Since the reminder 402 ≠ 0, we apply division lemma to 160 and 402, to get
402 = 160 x 2 + 82
Step 3: We consider the new divisor 160 and the new remainder 82, and apply the division lemma to get
160 = 82 x 1 + 78
We consider the new divisor 82 and the new remainder 78,and apply the division lemma to get
82 = 78 x 1 + 4
We consider the new divisor 78 and the new remainder 4,and apply the division lemma to get
78 = 4 x 19 + 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 964 and 402 is 2
Notice that 2 = HCF(4,2) = HCF(78,4) = HCF(82,78) = HCF(160,82) = HCF(402,160) = HCF(964,402) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86 > 2, we apply the division lemma to 86 and 2, to get
86 = 2 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 86 is 2
Notice that 2 = HCF(86,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 576 > 2, we apply the division lemma to 576 and 2, to get
576 = 2 x 288 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 576 is 2
Notice that 2 = HCF(576,2) .
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Frequently Asked Questions on HCF of 964, 402, 86, 576 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 964, 402, 86, 576?
Answer: HCF of 964, 402, 86, 576 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 964, 402, 86, 576 using Euclid's Algorithm?
Answer: For arbitrary numbers 964, 402, 86, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
