Highest Common Factor of 127, 211, 159 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 127, 211, 159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 127, 211, 159 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 127, 211, 159 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 127, 211, 159 is 1.

HCF(127, 211, 159) = 1

HCF of 127, 211, 159 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 127, 211, 159 is 1.

Highest Common Factor of 127,211,159 using Euclid's algorithm

Highest Common Factor of 127,211,159 is 1

Step 1: Since 211 > 127, we apply the division lemma to 211 and 127, to get

211 = 127 x 1 + 84

Step 2: Since the reminder 127 ≠ 0, we apply division lemma to 84 and 127, to get

127 = 84 x 1 + 43

Step 3: We consider the new divisor 84 and the new remainder 43, and apply the division lemma to get

84 = 43 x 1 + 41

We consider the new divisor 43 and the new remainder 41,and apply the division lemma to get

43 = 41 x 1 + 2

We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get

41 = 2 x 20 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 127 and 211 is 1

Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(43,41) = HCF(84,43) = HCF(127,84) = HCF(211,127) .

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

Step 1: Since 159 > 1, we apply the division lemma to 159 and 1, to get

159 = 1 x 159 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 159 is 1

Notice that 1 = HCF(159,1) .

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Frequently Asked Questions on HCF of 127, 211, 159 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 127, 211, 159?

Answer: HCF of 127, 211, 159 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 127, 211, 159 using Euclid's Algorithm?

Answer: For arbitrary numbers 127, 211, 159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.