Highest Common Factor of 4256, 5655, 29363 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 4256, 5655, 29363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4256, 5655, 29363 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 4256, 5655, 29363 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 4256, 5655, 29363 is 1.

HCF(4256, 5655, 29363) = 1

HCF of 4256, 5655, 29363 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 4256, 5655, 29363 is 1.

Highest Common Factor of 4256,5655,29363 using Euclid's algorithm

Highest Common Factor of 4256,5655,29363 is 1

Step 1: Since 5655 > 4256, we apply the division lemma to 5655 and 4256, to get

5655 = 4256 x 1 + 1399

Step 2: Since the reminder 4256 ≠ 0, we apply division lemma to 1399 and 4256, to get

4256 = 1399 x 3 + 59

Step 3: We consider the new divisor 1399 and the new remainder 59, and apply the division lemma to get

1399 = 59 x 23 + 42

We consider the new divisor 59 and the new remainder 42,and apply the division lemma to get

59 = 42 x 1 + 17

We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get

42 = 17 x 2 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4256 and 5655 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(59,42) = HCF(1399,59) = HCF(4256,1399) = HCF(5655,4256) .

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

Step 1: Since 29363 > 1, we apply the division lemma to 29363 and 1, to get

29363 = 1 x 29363 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29363 is 1

Notice that 1 = HCF(29363,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 4256, 5655, 29363 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 4256, 5655, 29363?

Answer: HCF of 4256, 5655, 29363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4256, 5655, 29363 using Euclid's Algorithm?

Answer: For arbitrary numbers 4256, 5655, 29363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.