Highest Common Factor of 6777, 3883 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 6777, 3883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6777, 3883 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 6777, 3883 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 6777, 3883 is 1.

HCF(6777, 3883) = 1

HCF of 6777, 3883 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 6777, 3883 is 1.

Highest Common Factor of 6777,3883 using Euclid's algorithm

Highest Common Factor of 6777,3883 is 1

Step 1: Since 6777 > 3883, we apply the division lemma to 6777 and 3883, to get

6777 = 3883 x 1 + 2894

Step 2: Since the reminder 3883 ≠ 0, we apply division lemma to 2894 and 3883, to get

3883 = 2894 x 1 + 989

Step 3: We consider the new divisor 2894 and the new remainder 989, and apply the division lemma to get

2894 = 989 x 2 + 916

We consider the new divisor 989 and the new remainder 916,and apply the division lemma to get

989 = 916 x 1 + 73

We consider the new divisor 916 and the new remainder 73,and apply the division lemma to get

916 = 73 x 12 + 40

We consider the new divisor 73 and the new remainder 40,and apply the division lemma to get

73 = 40 x 1 + 33

We consider the new divisor 40 and the new remainder 33,and apply the division lemma to get

40 = 33 x 1 + 7

We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get

33 = 7 x 4 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 6777 and 3883 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(40,33) = HCF(73,40) = HCF(916,73) = HCF(989,916) = HCF(2894,989) = HCF(3883,2894) = HCF(6777,3883) .

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Frequently Asked Questions on HCF of 6777, 3883 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 6777, 3883?

Answer: HCF of 6777, 3883 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6777, 3883 using Euclid's Algorithm?

Answer: For arbitrary numbers 6777, 3883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.