Highest Common Factor of 2452, 5734, 26567 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 2452, 5734, 26567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2452, 5734, 26567 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 2452, 5734, 26567 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 2452, 5734, 26567 is 1.

HCF(2452, 5734, 26567) = 1

HCF of 2452, 5734, 26567 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 2452, 5734, 26567 is 1.

Highest Common Factor of 2452,5734,26567 using Euclid's algorithm

Highest Common Factor of 2452,5734,26567 is 1

Step 1: Since 5734 > 2452, we apply the division lemma to 5734 and 2452, to get

5734 = 2452 x 2 + 830

Step 2: Since the reminder 2452 ≠ 0, we apply division lemma to 830 and 2452, to get

2452 = 830 x 2 + 792

Step 3: We consider the new divisor 830 and the new remainder 792, and apply the division lemma to get

830 = 792 x 1 + 38

We consider the new divisor 792 and the new remainder 38,and apply the division lemma to get

792 = 38 x 20 + 32

We consider the new divisor 38 and the new remainder 32,and apply the division lemma to get

38 = 32 x 1 + 6

We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get

32 = 6 x 5 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2452 and 5734 is 2

Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(38,32) = HCF(792,38) = HCF(830,792) = HCF(2452,830) = HCF(5734,2452) .

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

Step 1: Since 26567 > 2, we apply the division lemma to 26567 and 2, to get

26567 = 2 x 13283 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 26567 is 1

Notice that 1 = HCF(2,1) = HCF(26567,2) .

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Frequently Asked Questions on HCF of 2452, 5734, 26567 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 2452, 5734, 26567?

Answer: HCF of 2452, 5734, 26567 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2452, 5734, 26567 using Euclid's Algorithm?

Answer: For arbitrary numbers 2452, 5734, 26567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.