Highest Common Factor of 7432, 4203 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 7432, 4203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7432, 4203 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 7432, 4203 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 7432, 4203 is 1.

HCF(7432, 4203) = 1

HCF of 7432, 4203 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 7432, 4203 is 1.

Highest Common Factor of 7432,4203 using Euclid's algorithm

Highest Common Factor of 7432,4203 is 1

Step 1: Since 7432 > 4203, we apply the division lemma to 7432 and 4203, to get

7432 = 4203 x 1 + 3229

Step 2: Since the reminder 4203 ≠ 0, we apply division lemma to 3229 and 4203, to get

4203 = 3229 x 1 + 974

Step 3: We consider the new divisor 3229 and the new remainder 974, and apply the division lemma to get

3229 = 974 x 3 + 307

We consider the new divisor 974 and the new remainder 307,and apply the division lemma to get

974 = 307 x 3 + 53

We consider the new divisor 307 and the new remainder 53,and apply the division lemma to get

307 = 53 x 5 + 42

We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get

53 = 42 x 1 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 7432 and 4203 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(307,53) = HCF(974,307) = HCF(3229,974) = HCF(4203,3229) = HCF(7432,4203) .

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Frequently Asked Questions on HCF of 7432, 4203 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 7432, 4203?

Answer: HCF of 7432, 4203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7432, 4203 using Euclid's Algorithm?

Answer: For arbitrary numbers 7432, 4203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.