Highest Common Factor of 1927, 3561, 69071 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 1927, 3561, 69071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1927, 3561, 69071 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 1927, 3561, 69071 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 1927, 3561, 69071 is 1.

HCF(1927, 3561, 69071) = 1

HCF of 1927, 3561, 69071 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 1927, 3561, 69071 is 1.

Highest Common Factor of 1927,3561,69071 using Euclid's algorithm

Highest Common Factor of 1927,3561,69071 is 1

Step 1: Since 3561 > 1927, we apply the division lemma to 3561 and 1927, to get

3561 = 1927 x 1 + 1634

Step 2: Since the reminder 1927 ≠ 0, we apply division lemma to 1634 and 1927, to get

1927 = 1634 x 1 + 293

Step 3: We consider the new divisor 1634 and the new remainder 293, and apply the division lemma to get

1634 = 293 x 5 + 169

We consider the new divisor 293 and the new remainder 169,and apply the division lemma to get

293 = 169 x 1 + 124

We consider the new divisor 169 and the new remainder 124,and apply the division lemma to get

169 = 124 x 1 + 45

We consider the new divisor 124 and the new remainder 45,and apply the division lemma to get

124 = 45 x 2 + 34

We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get

45 = 34 x 1 + 11

We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get

34 = 11 x 3 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1927 and 3561 is 1

Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(124,45) = HCF(169,124) = HCF(293,169) = HCF(1634,293) = HCF(1927,1634) = HCF(3561,1927) .

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

Step 1: Since 69071 > 1, we apply the division lemma to 69071 and 1, to get

69071 = 1 x 69071 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69071 is 1

Notice that 1 = HCF(69071,1) .

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Frequently Asked Questions on HCF of 1927, 3561, 69071 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 1927, 3561, 69071?

Answer: HCF of 1927, 3561, 69071 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1927, 3561, 69071 using Euclid's Algorithm?

Answer: For arbitrary numbers 1927, 3561, 69071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.