Highest Common Factor of 348, 551, 287, 474 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 348, 551, 287, 474 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 348, 551, 287, 474 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 348, 551, 287, 474 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 348, 551, 287, 474 is 1.

HCF(348, 551, 287, 474) = 1

HCF of 348, 551, 287, 474 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 348, 551, 287, 474 is 1.

Highest Common Factor of 348,551,287,474 using Euclid's algorithm

Highest Common Factor of 348,551,287,474 is 1

Step 1: Since 551 > 348, we apply the division lemma to 551 and 348, to get

551 = 348 x 1 + 203

Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 203 and 348, to get

348 = 203 x 1 + 145

Step 3: We consider the new divisor 203 and the new remainder 145, and apply the division lemma to get

203 = 145 x 1 + 58

We consider the new divisor 145 and the new remainder 58,and apply the division lemma to get

145 = 58 x 2 + 29

We consider the new divisor 58 and the new remainder 29,and apply the division lemma to get

58 = 29 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 348 and 551 is 29

Notice that 29 = HCF(58,29) = HCF(145,58) = HCF(203,145) = HCF(348,203) = HCF(551,348) .

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

Step 1: Since 287 > 29, we apply the division lemma to 287 and 29, to get

287 = 29 x 9 + 26

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 26 and 29, to get

29 = 26 x 1 + 3

Step 3: We consider the new divisor 26 and the new remainder 3, and apply the division lemma to get

26 = 3 x 8 + 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 29 and 287 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(287,29) .

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

Step 1: Since 474 > 1, we apply the division lemma to 474 and 1, to get

474 = 1 x 474 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 474 is 1

Notice that 1 = HCF(474,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 348, 551, 287, 474 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 348, 551, 287, 474?

Answer: HCF of 348, 551, 287, 474 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 348, 551, 287, 474 using Euclid's Algorithm?

Answer: For arbitrary numbers 348, 551, 287, 474 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.