Highest Common Factor of 1153, 4261, 59482 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 1153, 4261, 59482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1153, 4261, 59482 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 1153, 4261, 59482 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 1153, 4261, 59482 is 1.

HCF(1153, 4261, 59482) = 1

HCF of 1153, 4261, 59482 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 1153, 4261, 59482 is 1.

Highest Common Factor of 1153,4261,59482 using Euclid's algorithm

Highest Common Factor of 1153,4261,59482 is 1

Step 1: Since 4261 > 1153, we apply the division lemma to 4261 and 1153, to get

4261 = 1153 x 3 + 802

Step 2: Since the reminder 1153 ≠ 0, we apply division lemma to 802 and 1153, to get

1153 = 802 x 1 + 351

Step 3: We consider the new divisor 802 and the new remainder 351, and apply the division lemma to get

802 = 351 x 2 + 100

We consider the new divisor 351 and the new remainder 100,and apply the division lemma to get

351 = 100 x 3 + 51

We consider the new divisor 100 and the new remainder 51,and apply the division lemma to get

100 = 51 x 1 + 49

We consider the new divisor 51 and the new remainder 49,and apply the division lemma to get

51 = 49 x 1 + 2

We consider the new divisor 49 and the new remainder 2,and apply the division lemma to get

49 = 2 x 24 + 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 1153 and 4261 is 1

Notice that 1 = HCF(2,1) = HCF(49,2) = HCF(51,49) = HCF(100,51) = HCF(351,100) = HCF(802,351) = HCF(1153,802) = HCF(4261,1153) .

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

Step 1: Since 59482 > 1, we apply the division lemma to 59482 and 1, to get

59482 = 1 x 59482 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59482 is 1

Notice that 1 = HCF(59482,1) .

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Frequently Asked Questions on HCF of 1153, 4261, 59482 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 1153, 4261, 59482?

Answer: HCF of 1153, 4261, 59482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1153, 4261, 59482 using Euclid's Algorithm?

Answer: For arbitrary numbers 1153, 4261, 59482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.