Highest Common Factor of 6676, 5037, 30535 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 6676, 5037, 30535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6676, 5037, 30535 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 6676, 5037, 30535 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 6676, 5037, 30535 is 1.

HCF(6676, 5037, 30535) = 1

HCF of 6676, 5037, 30535 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 6676, 5037, 30535 is 1.

Highest Common Factor of 6676,5037,30535 using Euclid's algorithm

Highest Common Factor of 6676,5037,30535 is 1

Step 1: Since 6676 > 5037, we apply the division lemma to 6676 and 5037, to get

6676 = 5037 x 1 + 1639

Step 2: Since the reminder 5037 ≠ 0, we apply division lemma to 1639 and 5037, to get

5037 = 1639 x 3 + 120

Step 3: We consider the new divisor 1639 and the new remainder 120, and apply the division lemma to get

1639 = 120 x 13 + 79

We consider the new divisor 120 and the new remainder 79,and apply the division lemma to get

120 = 79 x 1 + 41

We consider the new divisor 79 and the new remainder 41,and apply the division lemma to get

79 = 41 x 1 + 38

We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get

41 = 38 x 1 + 3

We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get

38 = 3 x 12 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6676 and 5037 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(79,41) = HCF(120,79) = HCF(1639,120) = HCF(5037,1639) = HCF(6676,5037) .

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

Step 1: Since 30535 > 1, we apply the division lemma to 30535 and 1, to get

30535 = 1 x 30535 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30535 is 1

Notice that 1 = HCF(30535,1) .

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Frequently Asked Questions on HCF of 6676, 5037, 30535 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 6676, 5037, 30535?

Answer: HCF of 6676, 5037, 30535 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6676, 5037, 30535 using Euclid's Algorithm?

Answer: For arbitrary numbers 6676, 5037, 30535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.