Highest Common Factor of 937, 6188, 8169 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 937, 6188, 8169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 6188, 8169 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 937, 6188, 8169 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 937, 6188, 8169 is 1.

HCF(937, 6188, 8169) = 1

HCF of 937, 6188, 8169 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 937, 6188, 8169 is 1.

Highest Common Factor of 937,6188,8169 using Euclid's algorithm

Highest Common Factor of 937,6188,8169 is 1

Step 1: Since 6188 > 937, we apply the division lemma to 6188 and 937, to get

6188 = 937 x 6 + 566

Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 566 and 937, to get

937 = 566 x 1 + 371

Step 3: We consider the new divisor 566 and the new remainder 371, and apply the division lemma to get

566 = 371 x 1 + 195

We consider the new divisor 371 and the new remainder 195,and apply the division lemma to get

371 = 195 x 1 + 176

We consider the new divisor 195 and the new remainder 176,and apply the division lemma to get

195 = 176 x 1 + 19

We consider the new divisor 176 and the new remainder 19,and apply the division lemma to get

176 = 19 x 9 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 937 and 6188 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(176,19) = HCF(195,176) = HCF(371,195) = HCF(566,371) = HCF(937,566) = HCF(6188,937) .

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

Step 1: Since 8169 > 1, we apply the division lemma to 8169 and 1, to get

8169 = 1 x 8169 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8169 is 1

Notice that 1 = HCF(8169,1) .

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Frequently Asked Questions on HCF of 937, 6188, 8169 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 937, 6188, 8169?

Answer: HCF of 937, 6188, 8169 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 6188, 8169 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 6188, 8169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.