Highest Common Factor of 7339, 7428, 32442 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 7339, 7428, 32442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7339, 7428, 32442 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 7339, 7428, 32442 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 7339, 7428, 32442 is 1.

HCF(7339, 7428, 32442) = 1

HCF of 7339, 7428, 32442 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 7339, 7428, 32442 is 1.

Highest Common Factor of 7339,7428,32442 using Euclid's algorithm

Highest Common Factor of 7339,7428,32442 is 1

Step 1: Since 7428 > 7339, we apply the division lemma to 7428 and 7339, to get

7428 = 7339 x 1 + 89

Step 2: Since the reminder 7339 ≠ 0, we apply division lemma to 89 and 7339, to get

7339 = 89 x 82 + 41

Step 3: We consider the new divisor 89 and the new remainder 41, and apply the division lemma to get

89 = 41 x 2 + 7

We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get

41 = 7 x 5 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7339 and 7428 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(89,41) = HCF(7339,89) = HCF(7428,7339) .

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

Step 1: Since 32442 > 1, we apply the division lemma to 32442 and 1, to get

32442 = 1 x 32442 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32442 is 1

Notice that 1 = HCF(32442,1) .

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Frequently Asked Questions on HCF of 7339, 7428, 32442 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 7339, 7428, 32442?

Answer: HCF of 7339, 7428, 32442 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7339, 7428, 32442 using Euclid's Algorithm?

Answer: For arbitrary numbers 7339, 7428, 32442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.