Highest Common Factor of 711, 555, 832 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 711, 555, 832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 711, 555, 832 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 711, 555, 832 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 711, 555, 832 is 1.

HCF(711, 555, 832) = 1

HCF of 711, 555, 832 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 711, 555, 832 is 1.

Highest Common Factor of 711,555,832 using Euclid's algorithm

Highest Common Factor of 711,555,832 is 1

Step 1: Since 711 > 555, we apply the division lemma to 711 and 555, to get

711 = 555 x 1 + 156

Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 156 and 555, to get

555 = 156 x 3 + 87

Step 3: We consider the new divisor 156 and the new remainder 87, and apply the division lemma to get

156 = 87 x 1 + 69

We consider the new divisor 87 and the new remainder 69,and apply the division lemma to get

87 = 69 x 1 + 18

We consider the new divisor 69 and the new remainder 18,and apply the division lemma to get

69 = 18 x 3 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 711 and 555 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(69,18) = HCF(87,69) = HCF(156,87) = HCF(555,156) = HCF(711,555) .

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

Step 1: Since 832 > 3, we apply the division lemma to 832 and 3, to get

832 = 3 x 277 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 832 is 1

Notice that 1 = HCF(3,1) = HCF(832,3) .

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Frequently Asked Questions on HCF of 711, 555, 832 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 711, 555, 832?

Answer: HCF of 711, 555, 832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 711, 555, 832 using Euclid's Algorithm?

Answer: For arbitrary numbers 711, 555, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.