Highest Common Factor of 6229, 4557 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 6229, 4557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6229, 4557 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 6229, 4557 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 6229, 4557 is 1.

HCF(6229, 4557) = 1

HCF of 6229, 4557 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 6229, 4557 is 1.

Highest Common Factor of 6229,4557 using Euclid's algorithm

Highest Common Factor of 6229,4557 is 1

Step 1: Since 6229 > 4557, we apply the division lemma to 6229 and 4557, to get

6229 = 4557 x 1 + 1672

Step 2: Since the reminder 4557 ≠ 0, we apply division lemma to 1672 and 4557, to get

4557 = 1672 x 2 + 1213

Step 3: We consider the new divisor 1672 and the new remainder 1213, and apply the division lemma to get

1672 = 1213 x 1 + 459

We consider the new divisor 1213 and the new remainder 459,and apply the division lemma to get

1213 = 459 x 2 + 295

We consider the new divisor 459 and the new remainder 295,and apply the division lemma to get

459 = 295 x 1 + 164

We consider the new divisor 295 and the new remainder 164,and apply the division lemma to get

295 = 164 x 1 + 131

We consider the new divisor 164 and the new remainder 131,and apply the division lemma to get

164 = 131 x 1 + 33

We consider the new divisor 131 and the new remainder 33,and apply the division lemma to get

131 = 33 x 3 + 32

We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get

33 = 32 x 1 + 1

We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get

32 = 1 x 32 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6229 and 4557 is 1

Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(131,33) = HCF(164,131) = HCF(295,164) = HCF(459,295) = HCF(1213,459) = HCF(1672,1213) = HCF(4557,1672) = HCF(6229,4557) .

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Frequently Asked Questions on HCF of 6229, 4557 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 6229, 4557?

Answer: HCF of 6229, 4557 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6229, 4557 using Euclid's Algorithm?

Answer: For arbitrary numbers 6229, 4557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.