Highest Common Factor of 1049, 7950, 29741 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 1049, 7950, 29741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1049, 7950, 29741 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 1049, 7950, 29741 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 1049, 7950, 29741 is 1.

HCF(1049, 7950, 29741) = 1

HCF of 1049, 7950, 29741 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 1049, 7950, 29741 is 1.

Highest Common Factor of 1049,7950,29741 using Euclid's algorithm

Highest Common Factor of 1049,7950,29741 is 1

Step 1: Since 7950 > 1049, we apply the division lemma to 7950 and 1049, to get

7950 = 1049 x 7 + 607

Step 2: Since the reminder 1049 ≠ 0, we apply division lemma to 607 and 1049, to get

1049 = 607 x 1 + 442

Step 3: We consider the new divisor 607 and the new remainder 442, and apply the division lemma to get

607 = 442 x 1 + 165

We consider the new divisor 442 and the new remainder 165,and apply the division lemma to get

442 = 165 x 2 + 112

We consider the new divisor 165 and the new remainder 112,and apply the division lemma to get

165 = 112 x 1 + 53

We consider the new divisor 112 and the new remainder 53,and apply the division lemma to get

112 = 53 x 2 + 6

We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get

53 = 6 x 8 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 1049 and 7950 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(112,53) = HCF(165,112) = HCF(442,165) = HCF(607,442) = HCF(1049,607) = HCF(7950,1049) .

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

Step 1: Since 29741 > 1, we apply the division lemma to 29741 and 1, to get

29741 = 1 x 29741 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29741 is 1

Notice that 1 = HCF(29741,1) .

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Frequently Asked Questions on HCF of 1049, 7950, 29741 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 1049, 7950, 29741?

Answer: HCF of 1049, 7950, 29741 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1049, 7950, 29741 using Euclid's Algorithm?

Answer: For arbitrary numbers 1049, 7950, 29741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.