Highest Common Factor of 7069, 5636 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 7069, 5636 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7069, 5636 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 7069, 5636 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 7069, 5636 is 1.

HCF(7069, 5636) = 1

HCF of 7069, 5636 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 7069, 5636 is 1.

Highest Common Factor of 7069,5636 using Euclid's algorithm

Highest Common Factor of 7069,5636 is 1

Step 1: Since 7069 > 5636, we apply the division lemma to 7069 and 5636, to get

7069 = 5636 x 1 + 1433

Step 2: Since the reminder 5636 ≠ 0, we apply division lemma to 1433 and 5636, to get

5636 = 1433 x 3 + 1337

Step 3: We consider the new divisor 1433 and the new remainder 1337, and apply the division lemma to get

1433 = 1337 x 1 + 96

We consider the new divisor 1337 and the new remainder 96,and apply the division lemma to get

1337 = 96 x 13 + 89

We consider the new divisor 96 and the new remainder 89,and apply the division lemma to get

96 = 89 x 1 + 7

We consider the new divisor 89 and the new remainder 7,and apply the division lemma to get

89 = 7 x 12 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7069 and 5636 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(89,7) = HCF(96,89) = HCF(1337,96) = HCF(1433,1337) = HCF(5636,1433) = HCF(7069,5636) .

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Frequently Asked Questions on HCF of 7069, 5636 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 7069, 5636?

Answer: HCF of 7069, 5636 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7069, 5636 using Euclid's Algorithm?

Answer: For arbitrary numbers 7069, 5636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.