Highest Common Factor of 3196, 1216, 24827 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 3196, 1216, 24827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3196, 1216, 24827 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 3196, 1216, 24827 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 3196, 1216, 24827 is 1.

HCF(3196, 1216, 24827) = 1

HCF of 3196, 1216, 24827 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 3196, 1216, 24827 is 1.

Highest Common Factor of 3196,1216,24827 using Euclid's algorithm

Highest Common Factor of 3196,1216,24827 is 1

Step 1: Since 3196 > 1216, we apply the division lemma to 3196 and 1216, to get

3196 = 1216 x 2 + 764

Step 2: Since the reminder 1216 ≠ 0, we apply division lemma to 764 and 1216, to get

1216 = 764 x 1 + 452

Step 3: We consider the new divisor 764 and the new remainder 452, and apply the division lemma to get

764 = 452 x 1 + 312

We consider the new divisor 452 and the new remainder 312,and apply the division lemma to get

452 = 312 x 1 + 140

We consider the new divisor 312 and the new remainder 140,and apply the division lemma to get

312 = 140 x 2 + 32

We consider the new divisor 140 and the new remainder 32,and apply the division lemma to get

140 = 32 x 4 + 12

We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get

32 = 12 x 2 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3196 and 1216 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(140,32) = HCF(312,140) = HCF(452,312) = HCF(764,452) = HCF(1216,764) = HCF(3196,1216) .

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

Step 1: Since 24827 > 4, we apply the division lemma to 24827 and 4, to get

24827 = 4 x 6206 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 24827 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(24827,4) .

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Frequently Asked Questions on HCF of 3196, 1216, 24827 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 3196, 1216, 24827?

Answer: HCF of 3196, 1216, 24827 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3196, 1216, 24827 using Euclid's Algorithm?

Answer: For arbitrary numbers 3196, 1216, 24827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.