Highest Common Factor of 5378, 1213, 23503 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 5378, 1213, 23503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5378, 1213, 23503 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 5378, 1213, 23503 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 5378, 1213, 23503 is 1.

HCF(5378, 1213, 23503) = 1

HCF of 5378, 1213, 23503 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 5378, 1213, 23503 is 1.

Highest Common Factor of 5378,1213,23503 using Euclid's algorithm

Highest Common Factor of 5378,1213,23503 is 1

Step 1: Since 5378 > 1213, we apply the division lemma to 5378 and 1213, to get

5378 = 1213 x 4 + 526

Step 2: Since the reminder 1213 ≠ 0, we apply division lemma to 526 and 1213, to get

1213 = 526 x 2 + 161

Step 3: We consider the new divisor 526 and the new remainder 161, and apply the division lemma to get

526 = 161 x 3 + 43

We consider the new divisor 161 and the new remainder 43,and apply the division lemma to get

161 = 43 x 3 + 32

We consider the new divisor 43 and the new remainder 32,and apply the division lemma to get

43 = 32 x 1 + 11

We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get

32 = 11 x 2 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5378 and 1213 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(43,32) = HCF(161,43) = HCF(526,161) = HCF(1213,526) = HCF(5378,1213) .

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

Step 1: Since 23503 > 1, we apply the division lemma to 23503 and 1, to get

23503 = 1 x 23503 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23503 is 1

Notice that 1 = HCF(23503,1) .

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Frequently Asked Questions on HCF of 5378, 1213, 23503 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 5378, 1213, 23503?

Answer: HCF of 5378, 1213, 23503 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5378, 1213, 23503 using Euclid's Algorithm?

Answer: For arbitrary numbers 5378, 1213, 23503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.