Highest Common Factor of 202, 707, 166 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 202, 707, 166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 202, 707, 166 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 202, 707, 166 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 202, 707, 166 is 1.

HCF(202, 707, 166) = 1

HCF of 202, 707, 166 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 202, 707, 166 is 1.

Highest Common Factor of 202,707,166 using Euclid's algorithm

Highest Common Factor of 202,707,166 is 1

Step 1: Since 707 > 202, we apply the division lemma to 707 and 202, to get

707 = 202 x 3 + 101

Step 2: Since the reminder 202 ≠ 0, we apply division lemma to 101 and 202, to get

202 = 101 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 101, the HCF of 202 and 707 is 101

Notice that 101 = HCF(202,101) = HCF(707,202) .

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

Step 1: Since 166 > 101, we apply the division lemma to 166 and 101, to get

166 = 101 x 1 + 65

Step 2: Since the reminder 101 ≠ 0, we apply division lemma to 65 and 101, to get

101 = 65 x 1 + 36

Step 3: We consider the new divisor 65 and the new remainder 36, and apply the division lemma to get

65 = 36 x 1 + 29

We consider the new divisor 36 and the new remainder 29,and apply the division lemma to get

36 = 29 x 1 + 7

We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get

29 = 7 x 4 + 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 101 and 166 is 1

Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(36,29) = HCF(65,36) = HCF(101,65) = HCF(166,101) .

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Frequently Asked Questions on HCF of 202, 707, 166 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 202, 707, 166?

Answer: HCF of 202, 707, 166 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 202, 707, 166 using Euclid's Algorithm?

Answer: For arbitrary numbers 202, 707, 166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.