Highest Common Factor of 3384, 9515, 49404 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 3384, 9515, 49404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3384, 9515, 49404 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 3384, 9515, 49404 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 3384, 9515, 49404 is 1.

HCF(3384, 9515, 49404) = 1

HCF of 3384, 9515, 49404 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 3384, 9515, 49404 is 1.

Highest Common Factor of 3384,9515,49404 using Euclid's algorithm

Highest Common Factor of 3384,9515,49404 is 1

Step 1: Since 9515 > 3384, we apply the division lemma to 9515 and 3384, to get

9515 = 3384 x 2 + 2747

Step 2: Since the reminder 3384 ≠ 0, we apply division lemma to 2747 and 3384, to get

3384 = 2747 x 1 + 637

Step 3: We consider the new divisor 2747 and the new remainder 637, and apply the division lemma to get

2747 = 637 x 4 + 199

We consider the new divisor 637 and the new remainder 199,and apply the division lemma to get

637 = 199 x 3 + 40

We consider the new divisor 199 and the new remainder 40,and apply the division lemma to get

199 = 40 x 4 + 39

We consider the new divisor 40 and the new remainder 39,and apply the division lemma to get

40 = 39 x 1 + 1

We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get

39 = 1 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3384 and 9515 is 1

Notice that 1 = HCF(39,1) = HCF(40,39) = HCF(199,40) = HCF(637,199) = HCF(2747,637) = HCF(3384,2747) = HCF(9515,3384) .

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

Step 1: Since 49404 > 1, we apply the division lemma to 49404 and 1, to get

49404 = 1 x 49404 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49404 is 1

Notice that 1 = HCF(49404,1) .

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Frequently Asked Questions on HCF of 3384, 9515, 49404 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 3384, 9515, 49404?

Answer: HCF of 3384, 9515, 49404 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3384, 9515, 49404 using Euclid's Algorithm?

Answer: For arbitrary numbers 3384, 9515, 49404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.