Highest Common Factor of 7342, 1794, 49471 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 7342, 1794, 49471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7342, 1794, 49471 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 7342, 1794, 49471 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 7342, 1794, 49471 is 1.

HCF(7342, 1794, 49471) = 1

HCF of 7342, 1794, 49471 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 7342, 1794, 49471 is 1.

Highest Common Factor of 7342,1794,49471 using Euclid's algorithm

Highest Common Factor of 7342,1794,49471 is 1

Step 1: Since 7342 > 1794, we apply the division lemma to 7342 and 1794, to get

7342 = 1794 x 4 + 166

Step 2: Since the reminder 1794 ≠ 0, we apply division lemma to 166 and 1794, to get

1794 = 166 x 10 + 134

Step 3: We consider the new divisor 166 and the new remainder 134, and apply the division lemma to get

166 = 134 x 1 + 32

We consider the new divisor 134 and the new remainder 32,and apply the division lemma to get

134 = 32 x 4 + 6

We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get

32 = 6 x 5 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7342 and 1794 is 2

Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(134,32) = HCF(166,134) = HCF(1794,166) = HCF(7342,1794) .

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

Step 1: Since 49471 > 2, we apply the division lemma to 49471 and 2, to get

49471 = 2 x 24735 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 49471 is 1

Notice that 1 = HCF(2,1) = HCF(49471,2) .

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Frequently Asked Questions on HCF of 7342, 1794, 49471 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 7342, 1794, 49471?

Answer: HCF of 7342, 1794, 49471 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7342, 1794, 49471 using Euclid's Algorithm?

Answer: For arbitrary numbers 7342, 1794, 49471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.