Highest Common Factor of 8850, 4841, 33695 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 8850, 4841, 33695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8850, 4841, 33695 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 8850, 4841, 33695 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 8850, 4841, 33695 is 1.

HCF(8850, 4841, 33695) = 1

HCF of 8850, 4841, 33695 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 8850, 4841, 33695 is 1.

Highest Common Factor of 8850,4841,33695 using Euclid's algorithm

Highest Common Factor of 8850,4841,33695 is 1

Step 1: Since 8850 > 4841, we apply the division lemma to 8850 and 4841, to get

8850 = 4841 x 1 + 4009

Step 2: Since the reminder 4841 ≠ 0, we apply division lemma to 4009 and 4841, to get

4841 = 4009 x 1 + 832

Step 3: We consider the new divisor 4009 and the new remainder 832, and apply the division lemma to get

4009 = 832 x 4 + 681

We consider the new divisor 832 and the new remainder 681,and apply the division lemma to get

832 = 681 x 1 + 151

We consider the new divisor 681 and the new remainder 151,and apply the division lemma to get

681 = 151 x 4 + 77

We consider the new divisor 151 and the new remainder 77,and apply the division lemma to get

151 = 77 x 1 + 74

We consider the new divisor 77 and the new remainder 74,and apply the division lemma to get

77 = 74 x 1 + 3

We consider the new divisor 74 and the new remainder 3,and apply the division lemma to get

74 = 3 x 24 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8850 and 4841 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(74,3) = HCF(77,74) = HCF(151,77) = HCF(681,151) = HCF(832,681) = HCF(4009,832) = HCF(4841,4009) = HCF(8850,4841) .

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

Step 1: Since 33695 > 1, we apply the division lemma to 33695 and 1, to get

33695 = 1 x 33695 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33695 is 1

Notice that 1 = HCF(33695,1) .

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Frequently Asked Questions on HCF of 8850, 4841, 33695 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 8850, 4841, 33695?

Answer: HCF of 8850, 4841, 33695 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8850, 4841, 33695 using Euclid's Algorithm?

Answer: For arbitrary numbers 8850, 4841, 33695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.