Highest Common Factor of 505, 6426 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 505, 6426 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 505, 6426 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 505, 6426 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 505, 6426 is 1.

HCF(505, 6426) = 1

HCF of 505, 6426 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 505, 6426 is 1.

Highest Common Factor of 505,6426 using Euclid's algorithm

Highest Common Factor of 505,6426 is 1

Step 1: Since 6426 > 505, we apply the division lemma to 6426 and 505, to get

6426 = 505 x 12 + 366

Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 366 and 505, to get

505 = 366 x 1 + 139

Step 3: We consider the new divisor 366 and the new remainder 139, and apply the division lemma to get

366 = 139 x 2 + 88

We consider the new divisor 139 and the new remainder 88,and apply the division lemma to get

139 = 88 x 1 + 51

We consider the new divisor 88 and the new remainder 51,and apply the division lemma to get

88 = 51 x 1 + 37

We consider the new divisor 51 and the new remainder 37,and apply the division lemma to get

51 = 37 x 1 + 14

We consider the new divisor 37 and the new remainder 14,and apply the division lemma to get

37 = 14 x 2 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 505 and 6426 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(51,37) = HCF(88,51) = HCF(139,88) = HCF(366,139) = HCF(505,366) = HCF(6426,505) .

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Frequently Asked Questions on HCF of 505, 6426 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 505, 6426?

Answer: HCF of 505, 6426 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 505, 6426 using Euclid's Algorithm?

Answer: For arbitrary numbers 505, 6426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.