Highest Common Factor of 6233, 8333, 34574 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 6233, 8333, 34574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6233, 8333, 34574 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 6233, 8333, 34574 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 6233, 8333, 34574 is 1.

HCF(6233, 8333, 34574) = 1

HCF of 6233, 8333, 34574 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 6233, 8333, 34574 is 1.

Highest Common Factor of 6233,8333,34574 using Euclid's algorithm

Highest Common Factor of 6233,8333,34574 is 1

Step 1: Since 8333 > 6233, we apply the division lemma to 8333 and 6233, to get

8333 = 6233 x 1 + 2100

Step 2: Since the reminder 6233 ≠ 0, we apply division lemma to 2100 and 6233, to get

6233 = 2100 x 2 + 2033

Step 3: We consider the new divisor 2100 and the new remainder 2033, and apply the division lemma to get

2100 = 2033 x 1 + 67

We consider the new divisor 2033 and the new remainder 67,and apply the division lemma to get

2033 = 67 x 30 + 23

We consider the new divisor 67 and the new remainder 23,and apply the division lemma to get

67 = 23 x 2 + 21

We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get

23 = 21 x 1 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 6233 and 8333 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(67,23) = HCF(2033,67) = HCF(2100,2033) = HCF(6233,2100) = HCF(8333,6233) .

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

Step 1: Since 34574 > 1, we apply the division lemma to 34574 and 1, to get

34574 = 1 x 34574 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 34574 is 1

Notice that 1 = HCF(34574,1) .

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Frequently Asked Questions on HCF of 6233, 8333, 34574 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 6233, 8333, 34574?

Answer: HCF of 6233, 8333, 34574 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6233, 8333, 34574 using Euclid's Algorithm?

Answer: For arbitrary numbers 6233, 8333, 34574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.