Highest Common Factor of 1409, 4482, 33407 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 1409, 4482, 33407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1409, 4482, 33407 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 1409, 4482, 33407 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 1409, 4482, 33407 is 1.

HCF(1409, 4482, 33407) = 1

HCF of 1409, 4482, 33407 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 1409, 4482, 33407 is 1.

Highest Common Factor of 1409,4482,33407 using Euclid's algorithm

Highest Common Factor of 1409,4482,33407 is 1

Step 1: Since 4482 > 1409, we apply the division lemma to 4482 and 1409, to get

4482 = 1409 x 3 + 255

Step 2: Since the reminder 1409 ≠ 0, we apply division lemma to 255 and 1409, to get

1409 = 255 x 5 + 134

Step 3: We consider the new divisor 255 and the new remainder 134, and apply the division lemma to get

255 = 134 x 1 + 121

We consider the new divisor 134 and the new remainder 121,and apply the division lemma to get

134 = 121 x 1 + 13

We consider the new divisor 121 and the new remainder 13,and apply the division lemma to get

121 = 13 x 9 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1409 and 4482 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(121,13) = HCF(134,121) = HCF(255,134) = HCF(1409,255) = HCF(4482,1409) .

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

Step 1: Since 33407 > 1, we apply the division lemma to 33407 and 1, to get

33407 = 1 x 33407 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33407 is 1

Notice that 1 = HCF(33407,1) .

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Frequently Asked Questions on HCF of 1409, 4482, 33407 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 1409, 4482, 33407?

Answer: HCF of 1409, 4482, 33407 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1409, 4482, 33407 using Euclid's Algorithm?

Answer: For arbitrary numbers 1409, 4482, 33407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.