Highest Common Factor of 6029, 8470 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 6029, 8470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6029, 8470 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 6029, 8470 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 6029, 8470 is 1.

HCF(6029, 8470) = 1

HCF of 6029, 8470 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6029, 8470 is 1.

Highest Common Factor of 6029,8470 using Euclid's algorithm

Highest Common Factor of 6029,8470 is 1

Step 1: Since 8470 > 6029, we apply the division lemma to 8470 and 6029, to get

8470 = 6029 x 1 + 2441

Step 2: Since the reminder 6029 ≠ 0, we apply division lemma to 2441 and 6029, to get

6029 = 2441 x 2 + 1147

Step 3: We consider the new divisor 2441 and the new remainder 1147, and apply the division lemma to get

2441 = 1147 x 2 + 147

We consider the new divisor 1147 and the new remainder 147,and apply the division lemma to get

1147 = 147 x 7 + 118

We consider the new divisor 147 and the new remainder 118,and apply the division lemma to get

147 = 118 x 1 + 29

We consider the new divisor 118 and the new remainder 29,and apply the division lemma to get

118 = 29 x 4 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 6029 and 8470 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(118,29) = HCF(147,118) = HCF(1147,147) = HCF(2441,1147) = HCF(6029,2441) = HCF(8470,6029) .

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Frequently Asked Questions on HCF of 6029, 8470 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 6029, 8470?

Answer: HCF of 6029, 8470 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6029, 8470 using Euclid's Algorithm?

Answer: For arbitrary numbers 6029, 8470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.