Highest Common Factor of 596, 37920 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 596, 37920 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 37920 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 596, 37920 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 596, 37920 is 4.
HCF(596, 37920) = 4
HCF of 596, 37920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 37920 is 4.
Highest Common Factor of 596,37920 is 4
Step 1: Since 37920 > 596, we apply the division lemma to 37920 and 596, to get
37920 = 596 x 63 + 372
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 372 and 596, to get
596 = 372 x 1 + 224
Step 3: We consider the new divisor 372 and the new remainder 224, and apply the division lemma to get
372 = 224 x 1 + 148
We consider the new divisor 224 and the new remainder 148,and apply the division lemma to get
224 = 148 x 1 + 76
We consider the new divisor 148 and the new remainder 76,and apply the division lemma to get
148 = 76 x 1 + 72
We consider the new divisor 76 and the new remainder 72,and apply the division lemma to get
76 = 72 x 1 + 4
We consider the new divisor 72 and the new remainder 4,and apply the division lemma to get
72 = 4 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 596 and 37920 is 4
Notice that 4 = HCF(72,4) = HCF(76,72) = HCF(148,76) = HCF(224,148) = HCF(372,224) = HCF(596,372) = HCF(37920,596) .
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Frequently Asked Questions on HCF of 596, 37920 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 596, 37920?
Answer: HCF of 596, 37920 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 37920 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 37920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
