Highest Common Factor of 7943, 3603, 97213 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 7943, 3603, 97213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7943, 3603, 97213 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 7943, 3603, 97213 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 7943, 3603, 97213 is 1.

HCF(7943, 3603, 97213) = 1

HCF of 7943, 3603, 97213 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 7943, 3603, 97213 is 1.

Highest Common Factor of 7943,3603,97213 using Euclid's algorithm

Highest Common Factor of 7943,3603,97213 is 1

Step 1: Since 7943 > 3603, we apply the division lemma to 7943 and 3603, to get

7943 = 3603 x 2 + 737

Step 2: Since the reminder 3603 ≠ 0, we apply division lemma to 737 and 3603, to get

3603 = 737 x 4 + 655

Step 3: We consider the new divisor 737 and the new remainder 655, and apply the division lemma to get

737 = 655 x 1 + 82

We consider the new divisor 655 and the new remainder 82,and apply the division lemma to get

655 = 82 x 7 + 81

We consider the new divisor 82 and the new remainder 81,and apply the division lemma to get

82 = 81 x 1 + 1

We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7943 and 3603 is 1

Notice that 1 = HCF(81,1) = HCF(82,81) = HCF(655,82) = HCF(737,655) = HCF(3603,737) = HCF(7943,3603) .

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

Step 1: Since 97213 > 1, we apply the division lemma to 97213 and 1, to get

97213 = 1 x 97213 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97213 is 1

Notice that 1 = HCF(97213,1) .

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Frequently Asked Questions on HCF of 7943, 3603, 97213 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 7943, 3603, 97213?

Answer: HCF of 7943, 3603, 97213 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7943, 3603, 97213 using Euclid's Algorithm?

Answer: For arbitrary numbers 7943, 3603, 97213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.