Highest Common Factor of 5570, 3269 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 5570, 3269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5570, 3269 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 5570, 3269 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 5570, 3269 is 1.

HCF(5570, 3269) = 1

HCF of 5570, 3269 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 5570, 3269 is 1.

Highest Common Factor of 5570,3269 using Euclid's algorithm

Highest Common Factor of 5570,3269 is 1

Step 1: Since 5570 > 3269, we apply the division lemma to 5570 and 3269, to get

5570 = 3269 x 1 + 2301

Step 2: Since the reminder 3269 ≠ 0, we apply division lemma to 2301 and 3269, to get

3269 = 2301 x 1 + 968

Step 3: We consider the new divisor 2301 and the new remainder 968, and apply the division lemma to get

2301 = 968 x 2 + 365

We consider the new divisor 968 and the new remainder 365,and apply the division lemma to get

968 = 365 x 2 + 238

We consider the new divisor 365 and the new remainder 238,and apply the division lemma to get

365 = 238 x 1 + 127

We consider the new divisor 238 and the new remainder 127,and apply the division lemma to get

238 = 127 x 1 + 111

We consider the new divisor 127 and the new remainder 111,and apply the division lemma to get

127 = 111 x 1 + 16

We consider the new divisor 111 and the new remainder 16,and apply the division lemma to get

111 = 16 x 6 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5570 and 3269 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(111,16) = HCF(127,111) = HCF(238,127) = HCF(365,238) = HCF(968,365) = HCF(2301,968) = HCF(3269,2301) = HCF(5570,3269) .

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Frequently Asked Questions on HCF of 5570, 3269 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 5570, 3269?

Answer: HCF of 5570, 3269 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5570, 3269 using Euclid's Algorithm?

Answer: For arbitrary numbers 5570, 3269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.