Highest Common Factor of 1005, 4935, 89902 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 1005, 4935, 89902 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1005, 4935, 89902 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 1005, 4935, 89902 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 1005, 4935, 89902 is 1.

HCF(1005, 4935, 89902) = 1

HCF of 1005, 4935, 89902 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 1005, 4935, 89902 is 1.

Highest Common Factor of 1005,4935,89902 using Euclid's algorithm

Highest Common Factor of 1005,4935,89902 is 1

Step 1: Since 4935 > 1005, we apply the division lemma to 4935 and 1005, to get

4935 = 1005 x 4 + 915

Step 2: Since the reminder 1005 ≠ 0, we apply division lemma to 915 and 1005, to get

1005 = 915 x 1 + 90

Step 3: We consider the new divisor 915 and the new remainder 90, and apply the division lemma to get

915 = 90 x 10 + 15

We consider the new divisor 90 and the new remainder 15, and apply the division lemma to get

90 = 15 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 1005 and 4935 is 15

Notice that 15 = HCF(90,15) = HCF(915,90) = HCF(1005,915) = HCF(4935,1005) .

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

Step 1: Since 89902 > 15, we apply the division lemma to 89902 and 15, to get

89902 = 15 x 5993 + 7

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 7 and 15, to get

15 = 7 x 2 + 1

Step 3: We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 15 and 89902 is 1

Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(89902,15) .

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Frequently Asked Questions on HCF of 1005, 4935, 89902 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 1005, 4935, 89902?

Answer: HCF of 1005, 4935, 89902 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1005, 4935, 89902 using Euclid's Algorithm?

Answer: For arbitrary numbers 1005, 4935, 89902 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.