Highest Common Factor of 3994, 4593, 74524 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 3994, 4593, 74524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3994, 4593, 74524 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 3994, 4593, 74524 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 3994, 4593, 74524 is 1.

HCF(3994, 4593, 74524) = 1

HCF of 3994, 4593, 74524 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 3994, 4593, 74524 is 1.

Highest Common Factor of 3994,4593,74524 using Euclid's algorithm

Highest Common Factor of 3994,4593,74524 is 1

Step 1: Since 4593 > 3994, we apply the division lemma to 4593 and 3994, to get

4593 = 3994 x 1 + 599

Step 2: Since the reminder 3994 ≠ 0, we apply division lemma to 599 and 3994, to get

3994 = 599 x 6 + 400

Step 3: We consider the new divisor 599 and the new remainder 400, and apply the division lemma to get

599 = 400 x 1 + 199

We consider the new divisor 400 and the new remainder 199,and apply the division lemma to get

400 = 199 x 2 + 2

We consider the new divisor 199 and the new remainder 2,and apply the division lemma to get

199 = 2 x 99 + 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 3994 and 4593 is 1

Notice that 1 = HCF(2,1) = HCF(199,2) = HCF(400,199) = HCF(599,400) = HCF(3994,599) = HCF(4593,3994) .

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

Step 1: Since 74524 > 1, we apply the division lemma to 74524 and 1, to get

74524 = 1 x 74524 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74524 is 1

Notice that 1 = HCF(74524,1) .

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Frequently Asked Questions on HCF of 3994, 4593, 74524 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 3994, 4593, 74524?

Answer: HCF of 3994, 4593, 74524 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3994, 4593, 74524 using Euclid's Algorithm?

Answer: For arbitrary numbers 3994, 4593, 74524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.