Highest Common Factor of 758, 261, 44 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 758, 261, 44 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 758, 261, 44 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 758, 261, 44 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 758, 261, 44 is 1.

HCF(758, 261, 44) = 1

HCF of 758, 261, 44 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 758, 261, 44 is 1.

Highest Common Factor of 758,261,44 using Euclid's algorithm

Highest Common Factor of 758,261,44 is 1

Step 1: Since 758 > 261, we apply the division lemma to 758 and 261, to get

758 = 261 x 2 + 236

Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 236 and 261, to get

261 = 236 x 1 + 25

Step 3: We consider the new divisor 236 and the new remainder 25, and apply the division lemma to get

236 = 25 x 9 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 758 and 261 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(236,25) = HCF(261,236) = HCF(758,261) .

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

Step 1: Since 44 > 1, we apply the division lemma to 44 and 1, to get

44 = 1 x 44 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44 is 1

Notice that 1 = HCF(44,1) .

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Frequently Asked Questions on HCF of 758, 261, 44 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 758, 261, 44?

Answer: HCF of 758, 261, 44 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 758, 261, 44 using Euclid's Algorithm?

Answer: For arbitrary numbers 758, 261, 44 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.