Highest Common Factor of 351, 911, 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 351, 911, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 351, 911, 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 351, 911, 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 351, 911, 187 is 1.

HCF(351, 911, 187) = 1

HCF of 351, 911, 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 351, 911, 187 is 1.

Highest Common Factor of 351,911,187 using Euclid's algorithm

Highest Common Factor of 351,911,187 is 1

Step 1: Since 911 > 351, we apply the division lemma to 911 and 351, to get

911 = 351 x 2 + 209

Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 209 and 351, to get

351 = 209 x 1 + 142

Step 3: We consider the new divisor 209 and the new remainder 142, and apply the division lemma to get

209 = 142 x 1 + 67

We consider the new divisor 142 and the new remainder 67,and apply the division lemma to get

142 = 67 x 2 + 8

We consider the new divisor 67 and the new remainder 8,and apply the division lemma to get

67 = 8 x 8 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 351 and 911 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(67,8) = HCF(142,67) = HCF(209,142) = HCF(351,209) = HCF(911,351) .

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

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

187 = 1 x 187 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 187 is 1

Notice that 1 = HCF(187,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 351, 911, 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 351, 911, 187?

Answer: HCF of 351, 911, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 351, 911, 187 using Euclid's Algorithm?

Answer: For arbitrary numbers 351, 911, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.