Highest Common Factor of 5785, 3373, 62056 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 5785, 3373, 62056 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5785, 3373, 62056 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 5785, 3373, 62056 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 5785, 3373, 62056 is 1.

HCF(5785, 3373, 62056) = 1

HCF of 5785, 3373, 62056 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 5785, 3373, 62056 is 1.

Highest Common Factor of 5785,3373,62056 using Euclid's algorithm

Highest Common Factor of 5785,3373,62056 is 1

Step 1: Since 5785 > 3373, we apply the division lemma to 5785 and 3373, to get

5785 = 3373 x 1 + 2412

Step 2: Since the reminder 3373 ≠ 0, we apply division lemma to 2412 and 3373, to get

3373 = 2412 x 1 + 961

Step 3: We consider the new divisor 2412 and the new remainder 961, and apply the division lemma to get

2412 = 961 x 2 + 490

We consider the new divisor 961 and the new remainder 490,and apply the division lemma to get

961 = 490 x 1 + 471

We consider the new divisor 490 and the new remainder 471,and apply the division lemma to get

490 = 471 x 1 + 19

We consider the new divisor 471 and the new remainder 19,and apply the division lemma to get

471 = 19 x 24 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5785 and 3373 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(471,19) = HCF(490,471) = HCF(961,490) = HCF(2412,961) = HCF(3373,2412) = HCF(5785,3373) .

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

Step 1: Since 62056 > 1, we apply the division lemma to 62056 and 1, to get

62056 = 1 x 62056 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62056 is 1

Notice that 1 = HCF(62056,1) .

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Frequently Asked Questions on HCF of 5785, 3373, 62056 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 5785, 3373, 62056?

Answer: HCF of 5785, 3373, 62056 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5785, 3373, 62056 using Euclid's Algorithm?

Answer: For arbitrary numbers 5785, 3373, 62056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.