Highest Common Factor of 596, 3739, 9060 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, 3739, 9060 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 596, 3739, 9060 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 596, 3739, 9060 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, 3739, 9060 is 1.

HCF(596, 3739, 9060) = 1

HCF of 596, 3739, 9060 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 596, 3739, 9060 is 1.

Highest Common Factor of 596,3739,9060 using Euclid's algorithm

Highest Common Factor of 596,3739,9060 is 1

Step 1: Since 3739 > 596, we apply the division lemma to 3739 and 596, to get

3739 = 596 x 6 + 163

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 163 and 596, to get

596 = 163 x 3 + 107

Step 3: We consider the new divisor 163 and the new remainder 107, and apply the division lemma to get

163 = 107 x 1 + 56

We consider the new divisor 107 and the new remainder 56,and apply the division lemma to get

107 = 56 x 1 + 51

We consider the new divisor 56 and the new remainder 51,and apply the division lemma to get

56 = 51 x 1 + 5

We consider the new divisor 51 and the new remainder 5,and apply the division lemma to get

51 = 5 x 10 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 596 and 3739 is 1

Notice that 1 = HCF(5,1) = HCF(51,5) = HCF(56,51) = HCF(107,56) = HCF(163,107) = HCF(596,163) = HCF(3739,596) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 9060 > 1, we apply the division lemma to 9060 and 1, to get

9060 = 1 x 9060 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9060 is 1

Notice that 1 = HCF(9060,1) .

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Frequently Asked Questions on HCF of 596, 3739, 9060 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, 3739, 9060?

Answer: HCF of 596, 3739, 9060 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 596, 3739, 9060 using Euclid's Algorithm?

Answer: For arbitrary numbers 596, 3739, 9060 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.