Highest Common Factor of 135, 244 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 135, 244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 135, 244 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 135, 244 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 135, 244 is 1.

HCF(135, 244) = 1

HCF of 135, 244 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 135, 244 is 1.

Highest Common Factor of 135,244 using Euclid's algorithm

Highest Common Factor of 135,244 is 1

Step 1: Since 244 > 135, we apply the division lemma to 244 and 135, to get

244 = 135 x 1 + 109

Step 2: Since the reminder 135 ≠ 0, we apply division lemma to 109 and 135, to get

135 = 109 x 1 + 26

Step 3: We consider the new divisor 109 and the new remainder 26, and apply the division lemma to get

109 = 26 x 4 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 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 135 and 244 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(109,26) = HCF(135,109) = HCF(244,135) .

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Frequently Asked Questions on HCF of 135, 244 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 135, 244?

Answer: HCF of 135, 244 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 135, 244 using Euclid's Algorithm?

Answer: For arbitrary numbers 135, 244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.