Highest Common Factor of 1956, 3203 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 1956, 3203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1956, 3203 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 1956, 3203 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 1956, 3203 is 1.

HCF(1956, 3203) = 1

HCF of 1956, 3203 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 1956, 3203 is 1.

Highest Common Factor of 1956,3203 using Euclid's algorithm

Highest Common Factor of 1956,3203 is 1

Step 1: Since 3203 > 1956, we apply the division lemma to 3203 and 1956, to get

3203 = 1956 x 1 + 1247

Step 2: Since the reminder 1956 ≠ 0, we apply division lemma to 1247 and 1956, to get

1956 = 1247 x 1 + 709

Step 3: We consider the new divisor 1247 and the new remainder 709, and apply the division lemma to get

1247 = 709 x 1 + 538

We consider the new divisor 709 and the new remainder 538,and apply the division lemma to get

709 = 538 x 1 + 171

We consider the new divisor 538 and the new remainder 171,and apply the division lemma to get

538 = 171 x 3 + 25

We consider the new divisor 171 and the new remainder 25,and apply the division lemma to get

171 = 25 x 6 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1956 and 3203 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(171,25) = HCF(538,171) = HCF(709,538) = HCF(1247,709) = HCF(1956,1247) = HCF(3203,1956) .

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Frequently Asked Questions on HCF of 1956, 3203 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 1956, 3203?

Answer: HCF of 1956, 3203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1956, 3203 using Euclid's Algorithm?

Answer: For arbitrary numbers 1956, 3203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.