Highest Common Factor of 5686, 7035 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 5686, 7035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5686, 7035 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 5686, 7035 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 5686, 7035 is 1.

HCF(5686, 7035) = 1

HCF of 5686, 7035 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5686, 7035 is 1.

Highest Common Factor of 5686,7035 using Euclid's algorithm

Highest Common Factor of 5686,7035 is 1

Step 1: Since 7035 > 5686, we apply the division lemma to 7035 and 5686, to get

7035 = 5686 x 1 + 1349

Step 2: Since the reminder 5686 ≠ 0, we apply division lemma to 1349 and 5686, to get

5686 = 1349 x 4 + 290

Step 3: We consider the new divisor 1349 and the new remainder 290, and apply the division lemma to get

1349 = 290 x 4 + 189

We consider the new divisor 290 and the new remainder 189,and apply the division lemma to get

290 = 189 x 1 + 101

We consider the new divisor 189 and the new remainder 101,and apply the division lemma to get

189 = 101 x 1 + 88

We consider the new divisor 101 and the new remainder 88,and apply the division lemma to get

101 = 88 x 1 + 13

We consider the new divisor 88 and the new remainder 13,and apply the division lemma to get

88 = 13 x 6 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5686 and 7035 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(88,13) = HCF(101,88) = HCF(189,101) = HCF(290,189) = HCF(1349,290) = HCF(5686,1349) = HCF(7035,5686) .

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Frequently Asked Questions on HCF of 5686, 7035 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 5686, 7035?

Answer: HCF of 5686, 7035 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5686, 7035 using Euclid's Algorithm?

Answer: For arbitrary numbers 5686, 7035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.