Highest Common Factor of 4074, 6193 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 4074, 6193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4074, 6193 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 4074, 6193 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 4074, 6193 is 1.

HCF(4074, 6193) = 1

HCF of 4074, 6193 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 4074, 6193 is 1.

Highest Common Factor of 4074,6193 using Euclid's algorithm

Highest Common Factor of 4074,6193 is 1

Step 1: Since 6193 > 4074, we apply the division lemma to 6193 and 4074, to get

6193 = 4074 x 1 + 2119

Step 2: Since the reminder 4074 ≠ 0, we apply division lemma to 2119 and 4074, to get

4074 = 2119 x 1 + 1955

Step 3: We consider the new divisor 2119 and the new remainder 1955, and apply the division lemma to get

2119 = 1955 x 1 + 164

We consider the new divisor 1955 and the new remainder 164,and apply the division lemma to get

1955 = 164 x 11 + 151

We consider the new divisor 164 and the new remainder 151,and apply the division lemma to get

164 = 151 x 1 + 13

We consider the new divisor 151 and the new remainder 13,and apply the division lemma to get

151 = 13 x 11 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 4074 and 6193 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(151,13) = HCF(164,151) = HCF(1955,164) = HCF(2119,1955) = HCF(4074,2119) = HCF(6193,4074) .

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Frequently Asked Questions on HCF of 4074, 6193 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 4074, 6193?

Answer: HCF of 4074, 6193 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4074, 6193 using Euclid's Algorithm?

Answer: For arbitrary numbers 4074, 6193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.