Highest Common Factor of 3264, 2190, 55967 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 3264, 2190, 55967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3264, 2190, 55967 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 3264, 2190, 55967 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 3264, 2190, 55967 is 1.

HCF(3264, 2190, 55967) = 1

HCF of 3264, 2190, 55967 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 3264, 2190, 55967 is 1.

Highest Common Factor of 3264,2190,55967 using Euclid's algorithm

Highest Common Factor of 3264,2190,55967 is 1

Step 1: Since 3264 > 2190, we apply the division lemma to 3264 and 2190, to get

3264 = 2190 x 1 + 1074

Step 2: Since the reminder 2190 ≠ 0, we apply division lemma to 1074 and 2190, to get

2190 = 1074 x 2 + 42

Step 3: We consider the new divisor 1074 and the new remainder 42, and apply the division lemma to get

1074 = 42 x 25 + 24

We consider the new divisor 42 and the new remainder 24,and apply the division lemma to get

42 = 24 x 1 + 18

We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get

24 = 18 x 1 + 6

We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get

18 = 6 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3264 and 2190 is 6

Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(42,24) = HCF(1074,42) = HCF(2190,1074) = HCF(3264,2190) .

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

Step 1: Since 55967 > 6, we apply the division lemma to 55967 and 6, to get

55967 = 6 x 9327 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 55967 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(55967,6) .

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Frequently Asked Questions on HCF of 3264, 2190, 55967 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 3264, 2190, 55967?

Answer: HCF of 3264, 2190, 55967 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3264, 2190, 55967 using Euclid's Algorithm?

Answer: For arbitrary numbers 3264, 2190, 55967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.