Highest Common Factor of 3111, 7933, 84204 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 3111, 7933, 84204 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3111, 7933, 84204 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 3111, 7933, 84204 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 3111, 7933, 84204 is 1.

HCF(3111, 7933, 84204) = 1

HCF of 3111, 7933, 84204 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 3111, 7933, 84204 is 1.

Highest Common Factor of 3111,7933,84204 using Euclid's algorithm

Highest Common Factor of 3111,7933,84204 is 1

Step 1: Since 7933 > 3111, we apply the division lemma to 7933 and 3111, to get

7933 = 3111 x 2 + 1711

Step 2: Since the reminder 3111 ≠ 0, we apply division lemma to 1711 and 3111, to get

3111 = 1711 x 1 + 1400

Step 3: We consider the new divisor 1711 and the new remainder 1400, and apply the division lemma to get

1711 = 1400 x 1 + 311

We consider the new divisor 1400 and the new remainder 311,and apply the division lemma to get

1400 = 311 x 4 + 156

We consider the new divisor 311 and the new remainder 156,and apply the division lemma to get

311 = 156 x 1 + 155

We consider the new divisor 156 and the new remainder 155,and apply the division lemma to get

156 = 155 x 1 + 1

We consider the new divisor 155 and the new remainder 1,and apply the division lemma to get

155 = 1 x 155 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3111 and 7933 is 1

Notice that 1 = HCF(155,1) = HCF(156,155) = HCF(311,156) = HCF(1400,311) = HCF(1711,1400) = HCF(3111,1711) = HCF(7933,3111) .

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

Step 1: Since 84204 > 1, we apply the division lemma to 84204 and 1, to get

84204 = 1 x 84204 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84204 is 1

Notice that 1 = HCF(84204,1) .

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Frequently Asked Questions on HCF of 3111, 7933, 84204 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 3111, 7933, 84204?

Answer: HCF of 3111, 7933, 84204 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3111, 7933, 84204 using Euclid's Algorithm?

Answer: For arbitrary numbers 3111, 7933, 84204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.