Highest Common Factor of 1222, 6763 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 1222, 6763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1222, 6763 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 1222, 6763 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 1222, 6763 is 1.

HCF(1222, 6763) = 1

HCF of 1222, 6763 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 1222, 6763 is 1.

Highest Common Factor of 1222,6763 using Euclid's algorithm

Highest Common Factor of 1222,6763 is 1

Step 1: Since 6763 > 1222, we apply the division lemma to 6763 and 1222, to get

6763 = 1222 x 5 + 653

Step 2: Since the reminder 1222 ≠ 0, we apply division lemma to 653 and 1222, to get

1222 = 653 x 1 + 569

Step 3: We consider the new divisor 653 and the new remainder 569, and apply the division lemma to get

653 = 569 x 1 + 84

We consider the new divisor 569 and the new remainder 84,and apply the division lemma to get

569 = 84 x 6 + 65

We consider the new divisor 84 and the new remainder 65,and apply the division lemma to get

84 = 65 x 1 + 19

We consider the new divisor 65 and the new remainder 19,and apply the division lemma to get

65 = 19 x 3 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1222 and 6763 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(65,19) = HCF(84,65) = HCF(569,84) = HCF(653,569) = HCF(1222,653) = HCF(6763,1222) .

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Frequently Asked Questions on HCF of 1222, 6763 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 1222, 6763?

Answer: HCF of 1222, 6763 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1222, 6763 using Euclid's Algorithm?

Answer: For arbitrary numbers 1222, 6763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.