Highest Common Factor of 7076, 3649, 66037 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 7076, 3649, 66037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7076, 3649, 66037 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 7076, 3649, 66037 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 7076, 3649, 66037 is 1.

HCF(7076, 3649, 66037) = 1

HCF of 7076, 3649, 66037 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 7076, 3649, 66037 is 1.

Highest Common Factor of 7076,3649,66037 using Euclid's algorithm

Highest Common Factor of 7076,3649,66037 is 1

Step 1: Since 7076 > 3649, we apply the division lemma to 7076 and 3649, to get

7076 = 3649 x 1 + 3427

Step 2: Since the reminder 3649 ≠ 0, we apply division lemma to 3427 and 3649, to get

3649 = 3427 x 1 + 222

Step 3: We consider the new divisor 3427 and the new remainder 222, and apply the division lemma to get

3427 = 222 x 15 + 97

We consider the new divisor 222 and the new remainder 97,and apply the division lemma to get

222 = 97 x 2 + 28

We consider the new divisor 97 and the new remainder 28,and apply the division lemma to get

97 = 28 x 3 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 7076 and 3649 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(97,28) = HCF(222,97) = HCF(3427,222) = HCF(3649,3427) = HCF(7076,3649) .

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

Step 1: Since 66037 > 1, we apply the division lemma to 66037 and 1, to get

66037 = 1 x 66037 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66037 is 1

Notice that 1 = HCF(66037,1) .

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Frequently Asked Questions on HCF of 7076, 3649, 66037 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 7076, 3649, 66037?

Answer: HCF of 7076, 3649, 66037 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7076, 3649, 66037 using Euclid's Algorithm?

Answer: For arbitrary numbers 7076, 3649, 66037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.