Highest Common Factor of 7027, 6552, 35790 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 7027, 6552, 35790 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7027, 6552, 35790 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 7027, 6552, 35790 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 7027, 6552, 35790 is 1.

HCF(7027, 6552, 35790) = 1

HCF of 7027, 6552, 35790 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 7027, 6552, 35790 is 1.

Highest Common Factor of 7027,6552,35790 using Euclid's algorithm

Highest Common Factor of 7027,6552,35790 is 1

Step 1: Since 7027 > 6552, we apply the division lemma to 7027 and 6552, to get

7027 = 6552 x 1 + 475

Step 2: Since the reminder 6552 ≠ 0, we apply division lemma to 475 and 6552, to get

6552 = 475 x 13 + 377

Step 3: We consider the new divisor 475 and the new remainder 377, and apply the division lemma to get

475 = 377 x 1 + 98

We consider the new divisor 377 and the new remainder 98,and apply the division lemma to get

377 = 98 x 3 + 83

We consider the new divisor 98 and the new remainder 83,and apply the division lemma to get

98 = 83 x 1 + 15

We consider the new divisor 83 and the new remainder 15,and apply the division lemma to get

83 = 15 x 5 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7027 and 6552 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(83,15) = HCF(98,83) = HCF(377,98) = HCF(475,377) = HCF(6552,475) = HCF(7027,6552) .

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

Step 1: Since 35790 > 1, we apply the division lemma to 35790 and 1, to get

35790 = 1 x 35790 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35790 is 1

Notice that 1 = HCF(35790,1) .

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Frequently Asked Questions on HCF of 7027, 6552, 35790 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 7027, 6552, 35790?

Answer: HCF of 7027, 6552, 35790 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7027, 6552, 35790 using Euclid's Algorithm?

Answer: For arbitrary numbers 7027, 6552, 35790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.