Highest Common Factor of 5749, 4787 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 5749, 4787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5749, 4787 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 5749, 4787 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 5749, 4787 is 1.

HCF(5749, 4787) = 1

HCF of 5749, 4787 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 5749, 4787 is 1.

Highest Common Factor of 5749,4787 using Euclid's algorithm

Highest Common Factor of 5749,4787 is 1

Step 1: Since 5749 > 4787, we apply the division lemma to 5749 and 4787, to get

5749 = 4787 x 1 + 962

Step 2: Since the reminder 4787 ≠ 0, we apply division lemma to 962 and 4787, to get

4787 = 962 x 4 + 939

Step 3: We consider the new divisor 962 and the new remainder 939, and apply the division lemma to get

962 = 939 x 1 + 23

We consider the new divisor 939 and the new remainder 23,and apply the division lemma to get

939 = 23 x 40 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 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 5749 and 4787 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(939,23) = HCF(962,939) = HCF(4787,962) = HCF(5749,4787) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5749, 4787 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 5749, 4787?

Answer: HCF of 5749, 4787 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5749, 4787 using Euclid's Algorithm?

Answer: For arbitrary numbers 5749, 4787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.