Highest Common Factor of 3303, 5943, 56050 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 3303, 5943, 56050 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3303, 5943, 56050 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 3303, 5943, 56050 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 3303, 5943, 56050 is 1.

HCF(3303, 5943, 56050) = 1

HCF of 3303, 5943, 56050 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 3303, 5943, 56050 is 1.

Highest Common Factor of 3303,5943,56050 using Euclid's algorithm

Highest Common Factor of 3303,5943,56050 is 1

Step 1: Since 5943 > 3303, we apply the division lemma to 5943 and 3303, to get

5943 = 3303 x 1 + 2640

Step 2: Since the reminder 3303 ≠ 0, we apply division lemma to 2640 and 3303, to get

3303 = 2640 x 1 + 663

Step 3: We consider the new divisor 2640 and the new remainder 663, and apply the division lemma to get

2640 = 663 x 3 + 651

We consider the new divisor 663 and the new remainder 651,and apply the division lemma to get

663 = 651 x 1 + 12

We consider the new divisor 651 and the new remainder 12,and apply the division lemma to get

651 = 12 x 54 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3303 and 5943 is 3

Notice that 3 = HCF(12,3) = HCF(651,12) = HCF(663,651) = HCF(2640,663) = HCF(3303,2640) = HCF(5943,3303) .

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

Step 1: Since 56050 > 3, we apply the division lemma to 56050 and 3, to get

56050 = 3 x 18683 + 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 56050 is 1

Notice that 1 = HCF(3,1) = HCF(56050,3) .

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Frequently Asked Questions on HCF of 3303, 5943, 56050 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 3303, 5943, 56050?

Answer: HCF of 3303, 5943, 56050 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3303, 5943, 56050 using Euclid's Algorithm?

Answer: For arbitrary numbers 3303, 5943, 56050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.