Highest Common Factor of 4735, 2807, 81617 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 4735, 2807, 81617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4735, 2807, 81617 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 4735, 2807, 81617 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 4735, 2807, 81617 is 1.

HCF(4735, 2807, 81617) = 1

HCF of 4735, 2807, 81617 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 4735, 2807, 81617 is 1.

Highest Common Factor of 4735,2807,81617 using Euclid's algorithm

Highest Common Factor of 4735,2807,81617 is 1

Step 1: Since 4735 > 2807, we apply the division lemma to 4735 and 2807, to get

4735 = 2807 x 1 + 1928

Step 2: Since the reminder 2807 ≠ 0, we apply division lemma to 1928 and 2807, to get

2807 = 1928 x 1 + 879

Step 3: We consider the new divisor 1928 and the new remainder 879, and apply the division lemma to get

1928 = 879 x 2 + 170

We consider the new divisor 879 and the new remainder 170,and apply the division lemma to get

879 = 170 x 5 + 29

We consider the new divisor 170 and the new remainder 29,and apply the division lemma to get

170 = 29 x 5 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 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 4735 and 2807 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(170,29) = HCF(879,170) = HCF(1928,879) = HCF(2807,1928) = HCF(4735,2807) .

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

Step 1: Since 81617 > 1, we apply the division lemma to 81617 and 1, to get

81617 = 1 x 81617 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81617 is 1

Notice that 1 = HCF(81617,1) .

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Frequently Asked Questions on HCF of 4735, 2807, 81617 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 4735, 2807, 81617?

Answer: HCF of 4735, 2807, 81617 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4735, 2807, 81617 using Euclid's Algorithm?

Answer: For arbitrary numbers 4735, 2807, 81617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.