Highest Common Factor of 918, 662, 550 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 918, 662, 550 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 918, 662, 550 is 2 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 918, 662, 550 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 918, 662, 550 is 2.

HCF(918, 662, 550) = 2

HCF of 918, 662, 550 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 918, 662, 550 is 2.

Highest Common Factor of 918,662,550 using Euclid's algorithm

Highest Common Factor of 918,662,550 is 2

Step 1: Since 918 > 662, we apply the division lemma to 918 and 662, to get

918 = 662 x 1 + 256

Step 2: Since the reminder 662 ≠ 0, we apply division lemma to 256 and 662, to get

662 = 256 x 2 + 150

Step 3: We consider the new divisor 256 and the new remainder 150, and apply the division lemma to get

256 = 150 x 1 + 106

We consider the new divisor 150 and the new remainder 106,and apply the division lemma to get

150 = 106 x 1 + 44

We consider the new divisor 106 and the new remainder 44,and apply the division lemma to get

106 = 44 x 2 + 18

We consider the new divisor 44 and the new remainder 18,and apply the division lemma to get

44 = 18 x 2 + 8

We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get

18 = 8 x 2 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 918 and 662 is 2

Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(44,18) = HCF(106,44) = HCF(150,106) = HCF(256,150) = HCF(662,256) = HCF(918,662) .

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

Step 1: Since 550 > 2, we apply the division lemma to 550 and 2, to get

550 = 2 x 275 + 0

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

Notice that 2 = HCF(550,2) .

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Frequently Asked Questions on HCF of 918, 662, 550 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 918, 662, 550?

Answer: HCF of 918, 662, 550 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 918, 662, 550 using Euclid's Algorithm?

Answer: For arbitrary numbers 918, 662, 550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.