Highest Common Factor of 588, 464, 936 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 588, 464, 936 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 464, 936 is 4 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 588, 464, 936 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 588, 464, 936 is 4.
HCF(588, 464, 936) = 4
HCF of 588, 464, 936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 464, 936 is 4.
Highest Common Factor of 588,464,936 is 4
Step 1: Since 588 > 464, we apply the division lemma to 588 and 464, to get
588 = 464 x 1 + 124
Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 124 and 464, to get
464 = 124 x 3 + 92
Step 3: We consider the new divisor 124 and the new remainder 92, and apply the division lemma to get
124 = 92 x 1 + 32
We consider the new divisor 92 and the new remainder 32,and apply the division lemma to get
92 = 32 x 2 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 588 and 464 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(92,32) = HCF(124,92) = HCF(464,124) = HCF(588,464) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 936 > 4, we apply the division lemma to 936 and 4, to get
936 = 4 x 234 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 936 is 4
Notice that 4 = HCF(936,4) .
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Frequently Asked Questions on HCF of 588, 464, 936 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 588, 464, 936?
Answer: HCF of 588, 464, 936 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 464, 936 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 464, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
