Highest Common Factor of 5029, 6441, 35095 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 5029, 6441, 35095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5029, 6441, 35095 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 5029, 6441, 35095 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 5029, 6441, 35095 is 1.

HCF(5029, 6441, 35095) = 1

HCF of 5029, 6441, 35095 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 5029, 6441, 35095 is 1.

Highest Common Factor of 5029,6441,35095 using Euclid's algorithm

Highest Common Factor of 5029,6441,35095 is 1

Step 1: Since 6441 > 5029, we apply the division lemma to 6441 and 5029, to get

6441 = 5029 x 1 + 1412

Step 2: Since the reminder 5029 ≠ 0, we apply division lemma to 1412 and 5029, to get

5029 = 1412 x 3 + 793

Step 3: We consider the new divisor 1412 and the new remainder 793, and apply the division lemma to get

1412 = 793 x 1 + 619

We consider the new divisor 793 and the new remainder 619,and apply the division lemma to get

793 = 619 x 1 + 174

We consider the new divisor 619 and the new remainder 174,and apply the division lemma to get

619 = 174 x 3 + 97

We consider the new divisor 174 and the new remainder 97,and apply the division lemma to get

174 = 97 x 1 + 77

We consider the new divisor 97 and the new remainder 77,and apply the division lemma to get

97 = 77 x 1 + 20

We consider the new divisor 77 and the new remainder 20,and apply the division lemma to get

77 = 20 x 3 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 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 5029 and 6441 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(77,20) = HCF(97,77) = HCF(174,97) = HCF(619,174) = HCF(793,619) = HCF(1412,793) = HCF(5029,1412) = HCF(6441,5029) .

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

Step 1: Since 35095 > 1, we apply the division lemma to 35095 and 1, to get

35095 = 1 x 35095 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35095 is 1

Notice that 1 = HCF(35095,1) .

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Frequently Asked Questions on HCF of 5029, 6441, 35095 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 5029, 6441, 35095?

Answer: HCF of 5029, 6441, 35095 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5029, 6441, 35095 using Euclid's Algorithm?

Answer: For arbitrary numbers 5029, 6441, 35095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.