Highest Common Factor of 1667, 4404 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 1667, 4404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1667, 4404 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 1667, 4404 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 1667, 4404 is 1.

HCF(1667, 4404) = 1

HCF of 1667, 4404 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 1667, 4404 is 1.

Highest Common Factor of 1667,4404 using Euclid's algorithm

Highest Common Factor of 1667,4404 is 1

Step 1: Since 4404 > 1667, we apply the division lemma to 4404 and 1667, to get

4404 = 1667 x 2 + 1070

Step 2: Since the reminder 1667 ≠ 0, we apply division lemma to 1070 and 1667, to get

1667 = 1070 x 1 + 597

Step 3: We consider the new divisor 1070 and the new remainder 597, and apply the division lemma to get

1070 = 597 x 1 + 473

We consider the new divisor 597 and the new remainder 473,and apply the division lemma to get

597 = 473 x 1 + 124

We consider the new divisor 473 and the new remainder 124,and apply the division lemma to get

473 = 124 x 3 + 101

We consider the new divisor 124 and the new remainder 101,and apply the division lemma to get

124 = 101 x 1 + 23

We consider the new divisor 101 and the new remainder 23,and apply the division lemma to get

101 = 23 x 4 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1667 and 4404 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(101,23) = HCF(124,101) = HCF(473,124) = HCF(597,473) = HCF(1070,597) = HCF(1667,1070) = HCF(4404,1667) .

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Frequently Asked Questions on HCF of 1667, 4404 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 1667, 4404?

Answer: HCF of 1667, 4404 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1667, 4404 using Euclid's Algorithm?

Answer: For arbitrary numbers 1667, 4404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.