Highest Common Factor of 819, 7936, 3936 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 819, 7936, 3936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 819, 7936, 3936 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 819, 7936, 3936 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 819, 7936, 3936 is 1.

HCF(819, 7936, 3936) = 1

HCF of 819, 7936, 3936 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 819, 7936, 3936 is 1.

Highest Common Factor of 819,7936,3936 using Euclid's algorithm

Highest Common Factor of 819,7936,3936 is 1

Step 1: Since 7936 > 819, we apply the division lemma to 7936 and 819, to get

7936 = 819 x 9 + 565

Step 2: Since the reminder 819 ≠ 0, we apply division lemma to 565 and 819, to get

819 = 565 x 1 + 254

Step 3: We consider the new divisor 565 and the new remainder 254, and apply the division lemma to get

565 = 254 x 2 + 57

We consider the new divisor 254 and the new remainder 57,and apply the division lemma to get

254 = 57 x 4 + 26

We consider the new divisor 57 and the new remainder 26,and apply the division lemma to get

57 = 26 x 2 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

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 819 and 7936 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(57,26) = HCF(254,57) = HCF(565,254) = HCF(819,565) = HCF(7936,819) .


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

Step 1: Since 3936 > 1, we apply the division lemma to 3936 and 1, to get

3936 = 1 x 3936 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3936 is 1

Notice that 1 = HCF(3936,1) .

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Frequently Asked Questions on HCF of 819, 7936, 3936 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 819, 7936, 3936?

Answer: HCF of 819, 7936, 3936 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 819, 7936, 3936 using Euclid's Algorithm?

Answer: For arbitrary numbers 819, 7936, 3936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.