Highest Common Factor of 6442, 8984, 10597 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 6442, 8984, 10597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6442, 8984, 10597 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 6442, 8984, 10597 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 6442, 8984, 10597 is 1.

HCF(6442, 8984, 10597) = 1

HCF of 6442, 8984, 10597 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 6442, 8984, 10597 is 1.

Highest Common Factor of 6442,8984,10597 using Euclid's algorithm

Highest Common Factor of 6442,8984,10597 is 1

Step 1: Since 8984 > 6442, we apply the division lemma to 8984 and 6442, to get

8984 = 6442 x 1 + 2542

Step 2: Since the reminder 6442 ≠ 0, we apply division lemma to 2542 and 6442, to get

6442 = 2542 x 2 + 1358

Step 3: We consider the new divisor 2542 and the new remainder 1358, and apply the division lemma to get

2542 = 1358 x 1 + 1184

We consider the new divisor 1358 and the new remainder 1184,and apply the division lemma to get

1358 = 1184 x 1 + 174

We consider the new divisor 1184 and the new remainder 174,and apply the division lemma to get

1184 = 174 x 6 + 140

We consider the new divisor 174 and the new remainder 140,and apply the division lemma to get

174 = 140 x 1 + 34

We consider the new divisor 140 and the new remainder 34,and apply the division lemma to get

140 = 34 x 4 + 4

We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get

34 = 4 x 8 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6442 and 8984 is 2

Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(140,34) = HCF(174,140) = HCF(1184,174) = HCF(1358,1184) = HCF(2542,1358) = HCF(6442,2542) = HCF(8984,6442) .

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

Step 1: Since 10597 > 2, we apply the division lemma to 10597 and 2, to get

10597 = 2 x 5298 + 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 10597 is 1

Notice that 1 = HCF(2,1) = HCF(10597,2) .

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Frequently Asked Questions on HCF of 6442, 8984, 10597 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 6442, 8984, 10597?

Answer: HCF of 6442, 8984, 10597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6442, 8984, 10597 using Euclid's Algorithm?

Answer: For arbitrary numbers 6442, 8984, 10597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.