Highest Common Factor of 6763, 2917, 99903 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 6763, 2917, 99903 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6763, 2917, 99903 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 6763, 2917, 99903 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 6763, 2917, 99903 is 1.

HCF(6763, 2917, 99903) = 1

HCF of 6763, 2917, 99903 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 6763, 2917, 99903 is 1.

Highest Common Factor of 6763,2917,99903 using Euclid's algorithm

Highest Common Factor of 6763,2917,99903 is 1

Step 1: Since 6763 > 2917, we apply the division lemma to 6763 and 2917, to get

6763 = 2917 x 2 + 929

Step 2: Since the reminder 2917 ≠ 0, we apply division lemma to 929 and 2917, to get

2917 = 929 x 3 + 130

Step 3: We consider the new divisor 929 and the new remainder 130, and apply the division lemma to get

929 = 130 x 7 + 19

We consider the new divisor 130 and the new remainder 19,and apply the division lemma to get

130 = 19 x 6 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 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 6763 and 2917 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(130,19) = HCF(929,130) = HCF(2917,929) = HCF(6763,2917) .

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

Step 1: Since 99903 > 1, we apply the division lemma to 99903 and 1, to get

99903 = 1 x 99903 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99903 is 1

Notice that 1 = HCF(99903,1) .

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Frequently Asked Questions on HCF of 6763, 2917, 99903 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 6763, 2917, 99903?

Answer: HCF of 6763, 2917, 99903 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6763, 2917, 99903 using Euclid's Algorithm?

Answer: For arbitrary numbers 6763, 2917, 99903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.