Highest Common Factor of 6743, 4974, 92198 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 6743, 4974, 92198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6743, 4974, 92198 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 6743, 4974, 92198 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 6743, 4974, 92198 is 1.

HCF(6743, 4974, 92198) = 1

HCF of 6743, 4974, 92198 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 6743, 4974, 92198 is 1.

Highest Common Factor of 6743,4974,92198 using Euclid's algorithm

Highest Common Factor of 6743,4974,92198 is 1

Step 1: Since 6743 > 4974, we apply the division lemma to 6743 and 4974, to get

6743 = 4974 x 1 + 1769

Step 2: Since the reminder 4974 ≠ 0, we apply division lemma to 1769 and 4974, to get

4974 = 1769 x 2 + 1436

Step 3: We consider the new divisor 1769 and the new remainder 1436, and apply the division lemma to get

1769 = 1436 x 1 + 333

We consider the new divisor 1436 and the new remainder 333,and apply the division lemma to get

1436 = 333 x 4 + 104

We consider the new divisor 333 and the new remainder 104,and apply the division lemma to get

333 = 104 x 3 + 21

We consider the new divisor 104 and the new remainder 21,and apply the division lemma to get

104 = 21 x 4 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6743 and 4974 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(104,21) = HCF(333,104) = HCF(1436,333) = HCF(1769,1436) = HCF(4974,1769) = HCF(6743,4974) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 92198 > 1, we apply the division lemma to 92198 and 1, to get

92198 = 1 x 92198 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92198 is 1

Notice that 1 = HCF(92198,1) .

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Frequently Asked Questions on HCF of 6743, 4974, 92198 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 6743, 4974, 92198?

Answer: HCF of 6743, 4974, 92198 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6743, 4974, 92198 using Euclid's Algorithm?

Answer: For arbitrary numbers 6743, 4974, 92198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.