Highest Common Factor of 4836, 1902, 49309 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 4836, 1902, 49309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4836, 1902, 49309 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 4836, 1902, 49309 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 4836, 1902, 49309 is 1.

HCF(4836, 1902, 49309) = 1

HCF of 4836, 1902, 49309 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 4836, 1902, 49309 is 1.

Highest Common Factor of 4836,1902,49309 using Euclid's algorithm

Highest Common Factor of 4836,1902,49309 is 1

Step 1: Since 4836 > 1902, we apply the division lemma to 4836 and 1902, to get

4836 = 1902 x 2 + 1032

Step 2: Since the reminder 1902 ≠ 0, we apply division lemma to 1032 and 1902, to get

1902 = 1032 x 1 + 870

Step 3: We consider the new divisor 1032 and the new remainder 870, and apply the division lemma to get

1032 = 870 x 1 + 162

We consider the new divisor 870 and the new remainder 162,and apply the division lemma to get

870 = 162 x 5 + 60

We consider the new divisor 162 and the new remainder 60,and apply the division lemma to get

162 = 60 x 2 + 42

We consider the new divisor 60 and the new remainder 42,and apply the division lemma to get

60 = 42 x 1 + 18

We consider the new divisor 42 and the new remainder 18,and apply the division lemma to get

42 = 18 x 2 + 6

We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get

18 = 6 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4836 and 1902 is 6

Notice that 6 = HCF(18,6) = HCF(42,18) = HCF(60,42) = HCF(162,60) = HCF(870,162) = HCF(1032,870) = HCF(1902,1032) = HCF(4836,1902) .

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

Step 1: Since 49309 > 6, we apply the division lemma to 49309 and 6, to get

49309 = 6 x 8218 + 1

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 1 and 6, to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 49309 is 1

Notice that 1 = HCF(6,1) = HCF(49309,6) .

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Frequently Asked Questions on HCF of 4836, 1902, 49309 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 4836, 1902, 49309?

Answer: HCF of 4836, 1902, 49309 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4836, 1902, 49309 using Euclid's Algorithm?

Answer: For arbitrary numbers 4836, 1902, 49309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.