Highest Common Factor of 5203, 9062, 61918 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 5203, 9062, 61918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5203, 9062, 61918 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 5203, 9062, 61918 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 5203, 9062, 61918 is 1.

HCF(5203, 9062, 61918) = 1

HCF of 5203, 9062, 61918 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 5203, 9062, 61918 is 1.

Highest Common Factor of 5203,9062,61918 using Euclid's algorithm

Highest Common Factor of 5203,9062,61918 is 1

Step 1: Since 9062 > 5203, we apply the division lemma to 9062 and 5203, to get

9062 = 5203 x 1 + 3859

Step 2: Since the reminder 5203 ≠ 0, we apply division lemma to 3859 and 5203, to get

5203 = 3859 x 1 + 1344

Step 3: We consider the new divisor 3859 and the new remainder 1344, and apply the division lemma to get

3859 = 1344 x 2 + 1171

We consider the new divisor 1344 and the new remainder 1171,and apply the division lemma to get

1344 = 1171 x 1 + 173

We consider the new divisor 1171 and the new remainder 173,and apply the division lemma to get

1171 = 173 x 6 + 133

We consider the new divisor 173 and the new remainder 133,and apply the division lemma to get

173 = 133 x 1 + 40

We consider the new divisor 133 and the new remainder 40,and apply the division lemma to get

133 = 40 x 3 + 13

We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get

40 = 13 x 3 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5203 and 9062 is 1

Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(133,40) = HCF(173,133) = HCF(1171,173) = HCF(1344,1171) = HCF(3859,1344) = HCF(5203,3859) = HCF(9062,5203) .

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

Step 1: Since 61918 > 1, we apply the division lemma to 61918 and 1, to get

61918 = 1 x 61918 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61918 is 1

Notice that 1 = HCF(61918,1) .

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Frequently Asked Questions on HCF of 5203, 9062, 61918 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 5203, 9062, 61918?

Answer: HCF of 5203, 9062, 61918 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5203, 9062, 61918 using Euclid's Algorithm?

Answer: For arbitrary numbers 5203, 9062, 61918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.