Highest Common Factor of 962, 3343, 4498 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 962, 3343, 4498 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 962, 3343, 4498 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 962, 3343, 4498 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 962, 3343, 4498 is 1.

HCF(962, 3343, 4498) = 1

HCF of 962, 3343, 4498 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 962, 3343, 4498 is 1.

Highest Common Factor of 962,3343,4498 using Euclid's algorithm

Highest Common Factor of 962,3343,4498 is 1

Step 1: Since 3343 > 962, we apply the division lemma to 3343 and 962, to get

3343 = 962 x 3 + 457

Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 457 and 962, to get

962 = 457 x 2 + 48

Step 3: We consider the new divisor 457 and the new remainder 48, and apply the division lemma to get

457 = 48 x 9 + 25

We consider the new divisor 48 and the new remainder 25,and apply the division lemma to get

48 = 25 x 1 + 23

We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get

25 = 23 x 1 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 962 and 3343 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(48,25) = HCF(457,48) = HCF(962,457) = HCF(3343,962) .

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

Step 1: Since 4498 > 1, we apply the division lemma to 4498 and 1, to get

4498 = 1 x 4498 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4498 is 1

Notice that 1 = HCF(4498,1) .

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Frequently Asked Questions on HCF of 962, 3343, 4498 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 962, 3343, 4498?

Answer: HCF of 962, 3343, 4498 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 962, 3343, 4498 using Euclid's Algorithm?

Answer: For arbitrary numbers 962, 3343, 4498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.