Highest Common Factor of 938, 550, 523 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 938, 550, 523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 938, 550, 523 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 938, 550, 523 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 938, 550, 523 is 1.

HCF(938, 550, 523) = 1

HCF of 938, 550, 523 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 938, 550, 523 is 1.

Highest Common Factor of 938,550,523 using Euclid's algorithm

Highest Common Factor of 938,550,523 is 1

Step 1: Since 938 > 550, we apply the division lemma to 938 and 550, to get

938 = 550 x 1 + 388

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 388 and 550, to get

550 = 388 x 1 + 162

Step 3: We consider the new divisor 388 and the new remainder 162, and apply the division lemma to get

388 = 162 x 2 + 64

We consider the new divisor 162 and the new remainder 64,and apply the division lemma to get

162 = 64 x 2 + 34

We consider the new divisor 64 and the new remainder 34,and apply the division lemma to get

64 = 34 x 1 + 30

We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get

34 = 30 x 1 + 4

We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get

30 = 4 x 7 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 938 and 550 is 2

Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(64,34) = HCF(162,64) = HCF(388,162) = HCF(550,388) = HCF(938,550) .

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

Step 1: Since 523 > 2, we apply the division lemma to 523 and 2, to get

523 = 2 x 261 + 1

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

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 523 is 1

Notice that 1 = HCF(2,1) = HCF(523,2) .

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Frequently Asked Questions on HCF of 938, 550, 523 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 938, 550, 523?

Answer: HCF of 938, 550, 523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 938, 550, 523 using Euclid's Algorithm?

Answer: For arbitrary numbers 938, 550, 523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.