Highest Common Factor of 667, 925, 249 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 667, 925, 249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 667, 925, 249 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 667, 925, 249 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 667, 925, 249 is 1.

HCF(667, 925, 249) = 1

HCF of 667, 925, 249 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 667, 925, 249 is 1.

Highest Common Factor of 667,925,249 using Euclid's algorithm

Highest Common Factor of 667,925,249 is 1

Step 1: Since 925 > 667, we apply the division lemma to 925 and 667, to get

925 = 667 x 1 + 258

Step 2: Since the reminder 667 ≠ 0, we apply division lemma to 258 and 667, to get

667 = 258 x 2 + 151

Step 3: We consider the new divisor 258 and the new remainder 151, and apply the division lemma to get

258 = 151 x 1 + 107

We consider the new divisor 151 and the new remainder 107,and apply the division lemma to get

151 = 107 x 1 + 44

We consider the new divisor 107 and the new remainder 44,and apply the division lemma to get

107 = 44 x 2 + 19

We consider the new divisor 44 and the new remainder 19,and apply the division lemma to get

44 = 19 x 2 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma 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 667 and 925 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(44,19) = HCF(107,44) = HCF(151,107) = HCF(258,151) = HCF(667,258) = HCF(925,667) .

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

Step 1: Since 249 > 1, we apply the division lemma to 249 and 1, to get

249 = 1 x 249 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 249 is 1

Notice that 1 = HCF(249,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 667, 925, 249 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 667, 925, 249?

Answer: HCF of 667, 925, 249 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 667, 925, 249 using Euclid's Algorithm?

Answer: For arbitrary numbers 667, 925, 249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.