Highest Common Factor of 7059, 7997 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 7059, 7997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7059, 7997 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 7059, 7997 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 7059, 7997 is 1.

HCF(7059, 7997) = 1

HCF of 7059, 7997 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 7059, 7997 is 1.

Highest Common Factor of 7059,7997 using Euclid's algorithm

Highest Common Factor of 7059,7997 is 1

Step 1: Since 7997 > 7059, we apply the division lemma to 7997 and 7059, to get

7997 = 7059 x 1 + 938

Step 2: Since the reminder 7059 ≠ 0, we apply division lemma to 938 and 7059, to get

7059 = 938 x 7 + 493

Step 3: We consider the new divisor 938 and the new remainder 493, and apply the division lemma to get

938 = 493 x 1 + 445

We consider the new divisor 493 and the new remainder 445,and apply the division lemma to get

493 = 445 x 1 + 48

We consider the new divisor 445 and the new remainder 48,and apply the division lemma to get

445 = 48 x 9 + 13

We consider the new divisor 48 and the new remainder 13,and apply the division lemma to get

48 = 13 x 3 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7059 and 7997 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(48,13) = HCF(445,48) = HCF(493,445) = HCF(938,493) = HCF(7059,938) = HCF(7997,7059) .

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Frequently Asked Questions on HCF of 7059, 7997 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 7059, 7997?

Answer: HCF of 7059, 7997 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7059, 7997 using Euclid's Algorithm?

Answer: For arbitrary numbers 7059, 7997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.