Highest Common Factor of 5111, 8219, 93300 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 5111, 8219, 93300 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5111, 8219, 93300 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 5111, 8219, 93300 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 5111, 8219, 93300 is 1.

HCF(5111, 8219, 93300) = 1

HCF of 5111, 8219, 93300 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 5111, 8219, 93300 is 1.

Highest Common Factor of 5111,8219,93300 using Euclid's algorithm

Highest Common Factor of 5111,8219,93300 is 1

Step 1: Since 8219 > 5111, we apply the division lemma to 8219 and 5111, to get

8219 = 5111 x 1 + 3108

Step 2: Since the reminder 5111 ≠ 0, we apply division lemma to 3108 and 5111, to get

5111 = 3108 x 1 + 2003

Step 3: We consider the new divisor 3108 and the new remainder 2003, and apply the division lemma to get

3108 = 2003 x 1 + 1105

We consider the new divisor 2003 and the new remainder 1105,and apply the division lemma to get

2003 = 1105 x 1 + 898

We consider the new divisor 1105 and the new remainder 898,and apply the division lemma to get

1105 = 898 x 1 + 207

We consider the new divisor 898 and the new remainder 207,and apply the division lemma to get

898 = 207 x 4 + 70

We consider the new divisor 207 and the new remainder 70,and apply the division lemma to get

207 = 70 x 2 + 67

We consider the new divisor 70 and the new remainder 67,and apply the division lemma to get

70 = 67 x 1 + 3

We consider the new divisor 67 and the new remainder 3,and apply the division lemma to get

67 = 3 x 22 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5111 and 8219 is 1

Notice that 1 = HCF(3,1) = HCF(67,3) = HCF(70,67) = HCF(207,70) = HCF(898,207) = HCF(1105,898) = HCF(2003,1105) = HCF(3108,2003) = HCF(5111,3108) = HCF(8219,5111) .

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

Step 1: Since 93300 > 1, we apply the division lemma to 93300 and 1, to get

93300 = 1 x 93300 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93300 is 1

Notice that 1 = HCF(93300,1) .

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Frequently Asked Questions on HCF of 5111, 8219, 93300 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 5111, 8219, 93300?

Answer: HCF of 5111, 8219, 93300 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5111, 8219, 93300 using Euclid's Algorithm?

Answer: For arbitrary numbers 5111, 8219, 93300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.