Highest Common Factor of 600, 650, 187 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 600, 650, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 600, 650, 187 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 600, 650, 187 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 600, 650, 187 is 1.

HCF(600, 650, 187) = 1

HCF of 600, 650, 187 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 600, 650, 187 is 1.

Highest Common Factor of 600,650,187 using Euclid's algorithm

Highest Common Factor of 600,650,187 is 1

Step 1: Since 650 > 600, we apply the division lemma to 650 and 600, to get

650 = 600 x 1 + 50

Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 50 and 600, to get

600 = 50 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 600 and 650 is 50

Notice that 50 = HCF(600,50) = HCF(650,600) .

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

Step 1: Since 187 > 50, we apply the division lemma to 187 and 50, to get

187 = 50 x 3 + 37

Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 37 and 50, to get

50 = 37 x 1 + 13

Step 3: We consider the new divisor 37 and the new remainder 13, and apply the division lemma to get

37 = 13 x 2 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 50 and 187 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(37,13) = HCF(50,37) = HCF(187,50) .

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Frequently Asked Questions on HCF of 600, 650, 187 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 600, 650, 187?

Answer: HCF of 600, 650, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 600, 650, 187 using Euclid's Algorithm?

Answer: For arbitrary numbers 600, 650, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.