Highest Common Factor of 532, 703, 943 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 532, 703, 943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 532, 703, 943 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 532, 703, 943 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 532, 703, 943 is 1.

HCF(532, 703, 943) = 1

HCF of 532, 703, 943 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 532, 703, 943 is 1.

Highest Common Factor of 532,703,943 using Euclid's algorithm

Highest Common Factor of 532,703,943 is 1

Step 1: Since 703 > 532, we apply the division lemma to 703 and 532, to get

703 = 532 x 1 + 171

Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 171 and 532, to get

532 = 171 x 3 + 19

Step 3: We consider the new divisor 171 and the new remainder 19, and apply the division lemma to get

171 = 19 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 532 and 703 is 19

Notice that 19 = HCF(171,19) = HCF(532,171) = HCF(703,532) .

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

Step 1: Since 943 > 19, we apply the division lemma to 943 and 19, to get

943 = 19 x 49 + 12

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 12 and 19, to get

19 = 12 x 1 + 7

Step 3: We consider the new divisor 12 and the new remainder 7, and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 943 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(943,19) .

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Frequently Asked Questions on HCF of 532, 703, 943 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 532, 703, 943?

Answer: HCF of 532, 703, 943 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 532, 703, 943 using Euclid's Algorithm?

Answer: For arbitrary numbers 532, 703, 943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.