Highest Common Factor of 4906, 5908, 34671 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 4906, 5908, 34671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4906, 5908, 34671 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 4906, 5908, 34671 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 4906, 5908, 34671 is 1.

HCF(4906, 5908, 34671) = 1

HCF of 4906, 5908, 34671 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 4906, 5908, 34671 is 1.

Highest Common Factor of 4906,5908,34671 using Euclid's algorithm

Highest Common Factor of 4906,5908,34671 is 1

Step 1: Since 5908 > 4906, we apply the division lemma to 5908 and 4906, to get

5908 = 4906 x 1 + 1002

Step 2: Since the reminder 4906 ≠ 0, we apply division lemma to 1002 and 4906, to get

4906 = 1002 x 4 + 898

Step 3: We consider the new divisor 1002 and the new remainder 898, and apply the division lemma to get

1002 = 898 x 1 + 104

We consider the new divisor 898 and the new remainder 104,and apply the division lemma to get

898 = 104 x 8 + 66

We consider the new divisor 104 and the new remainder 66,and apply the division lemma to get

104 = 66 x 1 + 38

We consider the new divisor 66 and the new remainder 38,and apply the division lemma to get

66 = 38 x 1 + 28

We consider the new divisor 38 and the new remainder 28,and apply the division lemma to get

38 = 28 x 1 + 10

We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get

28 = 10 x 2 + 8

We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get

10 = 8 x 1 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4906 and 5908 is 2

Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(38,28) = HCF(66,38) = HCF(104,66) = HCF(898,104) = HCF(1002,898) = HCF(4906,1002) = HCF(5908,4906) .

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

Step 1: Since 34671 > 2, we apply the division lemma to 34671 and 2, to get

34671 = 2 x 17335 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 34671 is 1

Notice that 1 = HCF(2,1) = HCF(34671,2) .

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Frequently Asked Questions on HCF of 4906, 5908, 34671 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 4906, 5908, 34671?

Answer: HCF of 4906, 5908, 34671 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4906, 5908, 34671 using Euclid's Algorithm?

Answer: For arbitrary numbers 4906, 5908, 34671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.