Highest Common Factor of 7090, 6161, 39288 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 7090, 6161, 39288 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7090, 6161, 39288 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 7090, 6161, 39288 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 7090, 6161, 39288 is 1.

HCF(7090, 6161, 39288) = 1

HCF of 7090, 6161, 39288 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 7090, 6161, 39288 is 1.

Highest Common Factor of 7090,6161,39288 using Euclid's algorithm

Highest Common Factor of 7090,6161,39288 is 1

Step 1: Since 7090 > 6161, we apply the division lemma to 7090 and 6161, to get

7090 = 6161 x 1 + 929

Step 2: Since the reminder 6161 ≠ 0, we apply division lemma to 929 and 6161, to get

6161 = 929 x 6 + 587

Step 3: We consider the new divisor 929 and the new remainder 587, and apply the division lemma to get

929 = 587 x 1 + 342

We consider the new divisor 587 and the new remainder 342,and apply the division lemma to get

587 = 342 x 1 + 245

We consider the new divisor 342 and the new remainder 245,and apply the division lemma to get

342 = 245 x 1 + 97

We consider the new divisor 245 and the new remainder 97,and apply the division lemma to get

245 = 97 x 2 + 51

We consider the new divisor 97 and the new remainder 51,and apply the division lemma to get

97 = 51 x 1 + 46

We consider the new divisor 51 and the new remainder 46,and apply the division lemma to get

51 = 46 x 1 + 5

We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get

46 = 5 x 9 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7090 and 6161 is 1

Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(51,46) = HCF(97,51) = HCF(245,97) = HCF(342,245) = HCF(587,342) = HCF(929,587) = HCF(6161,929) = HCF(7090,6161) .

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

Step 1: Since 39288 > 1, we apply the division lemma to 39288 and 1, to get

39288 = 1 x 39288 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39288 is 1

Notice that 1 = HCF(39288,1) .

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Frequently Asked Questions on HCF of 7090, 6161, 39288 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 7090, 6161, 39288?

Answer: HCF of 7090, 6161, 39288 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7090, 6161, 39288 using Euclid's Algorithm?

Answer: For arbitrary numbers 7090, 6161, 39288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.