Highest Common Factor of 6807, 8776 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 6807, 8776 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6807, 8776 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 6807, 8776 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 6807, 8776 is 1.

HCF(6807, 8776) = 1

HCF of 6807, 8776 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 6807, 8776 is 1.

Highest Common Factor of 6807,8776 using Euclid's algorithm

Highest Common Factor of 6807,8776 is 1

Step 1: Since 8776 > 6807, we apply the division lemma to 8776 and 6807, to get

8776 = 6807 x 1 + 1969

Step 2: Since the reminder 6807 ≠ 0, we apply division lemma to 1969 and 6807, to get

6807 = 1969 x 3 + 900

Step 3: We consider the new divisor 1969 and the new remainder 900, and apply the division lemma to get

1969 = 900 x 2 + 169

We consider the new divisor 900 and the new remainder 169,and apply the division lemma to get

900 = 169 x 5 + 55

We consider the new divisor 169 and the new remainder 55,and apply the division lemma to get

169 = 55 x 3 + 4

We consider the new divisor 55 and the new remainder 4,and apply the division lemma to get

55 = 4 x 13 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 6807 and 8776 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(55,4) = HCF(169,55) = HCF(900,169) = HCF(1969,900) = HCF(6807,1969) = HCF(8776,6807) .

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Frequently Asked Questions on HCF of 6807, 8776 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 6807, 8776?

Answer: HCF of 6807, 8776 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6807, 8776 using Euclid's Algorithm?

Answer: For arbitrary numbers 6807, 8776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.