Highest Common Factor of 6530, 1783, 55063 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 6530, 1783, 55063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6530, 1783, 55063 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 6530, 1783, 55063 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 6530, 1783, 55063 is 1.

HCF(6530, 1783, 55063) = 1

HCF of 6530, 1783, 55063 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 6530, 1783, 55063 is 1.

Highest Common Factor of 6530,1783,55063 using Euclid's algorithm

Highest Common Factor of 6530,1783,55063 is 1

Step 1: Since 6530 > 1783, we apply the division lemma to 6530 and 1783, to get

6530 = 1783 x 3 + 1181

Step 2: Since the reminder 1783 ≠ 0, we apply division lemma to 1181 and 1783, to get

1783 = 1181 x 1 + 602

Step 3: We consider the new divisor 1181 and the new remainder 602, and apply the division lemma to get

1181 = 602 x 1 + 579

We consider the new divisor 602 and the new remainder 579,and apply the division lemma to get

602 = 579 x 1 + 23

We consider the new divisor 579 and the new remainder 23,and apply the division lemma to get

579 = 23 x 25 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 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 6530 and 1783 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(579,23) = HCF(602,579) = HCF(1181,602) = HCF(1783,1181) = HCF(6530,1783) .

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

Step 1: Since 55063 > 1, we apply the division lemma to 55063 and 1, to get

55063 = 1 x 55063 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55063 is 1

Notice that 1 = HCF(55063,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6530, 1783, 55063 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 6530, 1783, 55063?

Answer: HCF of 6530, 1783, 55063 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6530, 1783, 55063 using Euclid's Algorithm?

Answer: For arbitrary numbers 6530, 1783, 55063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.