Highest Common Factor of 918, 762, 559 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, 762, 559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 918, 762, 559 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 918, 762, 559 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, 762, 559 is 1.

HCF(918, 762, 559) = 1

HCF of 918, 762, 559 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, 762, 559 is 1.

Highest Common Factor of 918,762,559 using Euclid's algorithm

Highest Common Factor of 918,762,559 is 1

Step 1: Since 918 > 762, we apply the division lemma to 918 and 762, to get

918 = 762 x 1 + 156

Step 2: Since the reminder 762 ≠ 0, we apply division lemma to 156 and 762, to get

762 = 156 x 4 + 138

Step 3: We consider the new divisor 156 and the new remainder 138, and apply the division lemma to get

156 = 138 x 1 + 18

We consider the new divisor 138 and the new remainder 18,and apply the division lemma to get

138 = 18 x 7 + 12

We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get

18 = 12 x 1 + 6

We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get

12 = 6 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 918 and 762 is 6

Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(138,18) = HCF(156,138) = HCF(762,156) = HCF(918,762) .

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

Step 1: Since 559 > 6, we apply the division lemma to 559 and 6, to get

559 = 6 x 93 + 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 559 is 1

Notice that 1 = HCF(6,1) = HCF(559,6) .

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Frequently Asked Questions on HCF of 918, 762, 559 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, 762, 559?

Answer: HCF of 918, 762, 559 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 918, 762, 559 using Euclid's Algorithm?

Answer: For arbitrary numbers 918, 762, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.