Highest Common Factor of 6530, 1807 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, 1807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6530, 1807 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, 1807 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, 1807 is 1.

HCF(6530, 1807) = 1

HCF of 6530, 1807 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, 1807 is 1.

Highest Common Factor of 6530,1807 using Euclid's algorithm

Highest Common Factor of 6530,1807 is 1

Step 1: Since 6530 > 1807, we apply the division lemma to 6530 and 1807, to get

6530 = 1807 x 3 + 1109

Step 2: Since the reminder 1807 ≠ 0, we apply division lemma to 1109 and 1807, to get

1807 = 1109 x 1 + 698

Step 3: We consider the new divisor 1109 and the new remainder 698, and apply the division lemma to get

1109 = 698 x 1 + 411

We consider the new divisor 698 and the new remainder 411,and apply the division lemma to get

698 = 411 x 1 + 287

We consider the new divisor 411 and the new remainder 287,and apply the division lemma to get

411 = 287 x 1 + 124

We consider the new divisor 287 and the new remainder 124,and apply the division lemma to get

287 = 124 x 2 + 39

We consider the new divisor 124 and the new remainder 39,and apply the division lemma to get

124 = 39 x 3 + 7

We consider the new divisor 39 and the new remainder 7,and apply the division lemma to get

39 = 7 x 5 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 1807 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(39,7) = HCF(124,39) = HCF(287,124) = HCF(411,287) = HCF(698,411) = HCF(1109,698) = HCF(1807,1109) = HCF(6530,1807) .

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, 1807 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, 1807?

Answer: HCF of 6530, 1807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6530, 1807 using Euclid's Algorithm?

Answer: For arbitrary numbers 6530, 1807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.