Highest Common Factor of 5609, 3670 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 5609, 3670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5609, 3670 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 5609, 3670 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 5609, 3670 is 1.

HCF(5609, 3670) = 1

HCF of 5609, 3670 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 5609, 3670 is 1.

Highest Common Factor of 5609,3670 using Euclid's algorithm

Highest Common Factor of 5609,3670 is 1

Step 1: Since 5609 > 3670, we apply the division lemma to 5609 and 3670, to get

5609 = 3670 x 1 + 1939

Step 2: Since the reminder 3670 ≠ 0, we apply division lemma to 1939 and 3670, to get

3670 = 1939 x 1 + 1731

Step 3: We consider the new divisor 1939 and the new remainder 1731, and apply the division lemma to get

1939 = 1731 x 1 + 208

We consider the new divisor 1731 and the new remainder 208,and apply the division lemma to get

1731 = 208 x 8 + 67

We consider the new divisor 208 and the new remainder 67,and apply the division lemma to get

208 = 67 x 3 + 7

We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get

67 = 7 x 9 + 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 5609 and 3670 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(208,67) = HCF(1731,208) = HCF(1939,1731) = HCF(3670,1939) = HCF(5609,3670) .

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Frequently Asked Questions on HCF of 5609, 3670 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 5609, 3670?

Answer: HCF of 5609, 3670 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5609, 3670 using Euclid's Algorithm?

Answer: For arbitrary numbers 5609, 3670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.