Highest Common Factor of 3932, 1483, 41255 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 3932, 1483, 41255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3932, 1483, 41255 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 3932, 1483, 41255 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 3932, 1483, 41255 is 1.

HCF(3932, 1483, 41255) = 1

HCF of 3932, 1483, 41255 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 3932, 1483, 41255 is 1.

Highest Common Factor of 3932,1483,41255 using Euclid's algorithm

Highest Common Factor of 3932,1483,41255 is 1

Step 1: Since 3932 > 1483, we apply the division lemma to 3932 and 1483, to get

3932 = 1483 x 2 + 966

Step 2: Since the reminder 1483 ≠ 0, we apply division lemma to 966 and 1483, to get

1483 = 966 x 1 + 517

Step 3: We consider the new divisor 966 and the new remainder 517, and apply the division lemma to get

966 = 517 x 1 + 449

We consider the new divisor 517 and the new remainder 449,and apply the division lemma to get

517 = 449 x 1 + 68

We consider the new divisor 449 and the new remainder 68,and apply the division lemma to get

449 = 68 x 6 + 41

We consider the new divisor 68 and the new remainder 41,and apply the division lemma to get

68 = 41 x 1 + 27

We consider the new divisor 41 and the new remainder 27,and apply the division lemma to get

41 = 27 x 1 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3932 and 1483 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(41,27) = HCF(68,41) = HCF(449,68) = HCF(517,449) = HCF(966,517) = HCF(1483,966) = HCF(3932,1483) .

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

Step 1: Since 41255 > 1, we apply the division lemma to 41255 and 1, to get

41255 = 1 x 41255 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41255 is 1

Notice that 1 = HCF(41255,1) .

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Frequently Asked Questions on HCF of 3932, 1483, 41255 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 3932, 1483, 41255?

Answer: HCF of 3932, 1483, 41255 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3932, 1483, 41255 using Euclid's Algorithm?

Answer: For arbitrary numbers 3932, 1483, 41255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.