Highest Common Factor of 8790, 4833, 33580 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 8790, 4833, 33580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8790, 4833, 33580 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 8790, 4833, 33580 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 8790, 4833, 33580 is 1.

HCF(8790, 4833, 33580) = 1

HCF of 8790, 4833, 33580 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 8790, 4833, 33580 is 1.

Highest Common Factor of 8790,4833,33580 using Euclid's algorithm

Highest Common Factor of 8790,4833,33580 is 1

Step 1: Since 8790 > 4833, we apply the division lemma to 8790 and 4833, to get

8790 = 4833 x 1 + 3957

Step 2: Since the reminder 4833 ≠ 0, we apply division lemma to 3957 and 4833, to get

4833 = 3957 x 1 + 876

Step 3: We consider the new divisor 3957 and the new remainder 876, and apply the division lemma to get

3957 = 876 x 4 + 453

We consider the new divisor 876 and the new remainder 453,and apply the division lemma to get

876 = 453 x 1 + 423

We consider the new divisor 453 and the new remainder 423,and apply the division lemma to get

453 = 423 x 1 + 30

We consider the new divisor 423 and the new remainder 30,and apply the division lemma to get

423 = 30 x 14 + 3

We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get

30 = 3 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8790 and 4833 is 3

Notice that 3 = HCF(30,3) = HCF(423,30) = HCF(453,423) = HCF(876,453) = HCF(3957,876) = HCF(4833,3957) = HCF(8790,4833) .

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

Step 1: Since 33580 > 3, we apply the division lemma to 33580 and 3, to get

33580 = 3 x 11193 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 33580 is 1

Notice that 1 = HCF(3,1) = HCF(33580,3) .

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Frequently Asked Questions on HCF of 8790, 4833, 33580 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 8790, 4833, 33580?

Answer: HCF of 8790, 4833, 33580 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8790, 4833, 33580 using Euclid's Algorithm?

Answer: For arbitrary numbers 8790, 4833, 33580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.