Highest Common Factor of 846, 2977, 3807 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 846, 2977, 3807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 846, 2977, 3807 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 846, 2977, 3807 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 846, 2977, 3807 is 1.

HCF(846, 2977, 3807) = 1

HCF of 846, 2977, 3807 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 846, 2977, 3807 is 1.

Highest Common Factor of 846,2977,3807 using Euclid's algorithm

Highest Common Factor of 846,2977,3807 is 1

Step 1: Since 2977 > 846, we apply the division lemma to 2977 and 846, to get

2977 = 846 x 3 + 439

Step 2: Since the reminder 846 ≠ 0, we apply division lemma to 439 and 846, to get

846 = 439 x 1 + 407

Step 3: We consider the new divisor 439 and the new remainder 407, and apply the division lemma to get

439 = 407 x 1 + 32

We consider the new divisor 407 and the new remainder 32,and apply the division lemma to get

407 = 32 x 12 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 846 and 2977 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(407,32) = HCF(439,407) = HCF(846,439) = HCF(2977,846) .

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

Step 1: Since 3807 > 1, we apply the division lemma to 3807 and 1, to get

3807 = 1 x 3807 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3807 is 1

Notice that 1 = HCF(3807,1) .

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Frequently Asked Questions on HCF of 846, 2977, 3807 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 846, 2977, 3807?

Answer: HCF of 846, 2977, 3807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 846, 2977, 3807 using Euclid's Algorithm?

Answer: For arbitrary numbers 846, 2977, 3807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.