Highest Common Factor of 347, 882, 515, 12 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 347, 882, 515, 12 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 347, 882, 515, 12 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 347, 882, 515, 12 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 347, 882, 515, 12 is 1.

HCF(347, 882, 515, 12) = 1

HCF of 347, 882, 515, 12 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 347, 882, 515, 12 is 1.

Highest Common Factor of 347,882,515,12 using Euclid's algorithm

Highest Common Factor of 347,882,515,12 is 1

Step 1: Since 882 > 347, we apply the division lemma to 882 and 347, to get

882 = 347 x 2 + 188

Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 188 and 347, to get

347 = 188 x 1 + 159

Step 3: We consider the new divisor 188 and the new remainder 159, and apply the division lemma to get

188 = 159 x 1 + 29

We consider the new divisor 159 and the new remainder 29,and apply the division lemma to get

159 = 29 x 5 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 347 and 882 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(159,29) = HCF(188,159) = HCF(347,188) = HCF(882,347) .

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

Step 1: Since 515 > 1, we apply the division lemma to 515 and 1, to get

515 = 1 x 515 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 515 is 1

Notice that 1 = HCF(515,1) .

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

Step 1: Since 12 > 1, we apply the division lemma to 12 and 1, to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12 is 1

Notice that 1 = HCF(12,1) .

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Frequently Asked Questions on HCF of 347, 882, 515, 12 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 347, 882, 515, 12?

Answer: HCF of 347, 882, 515, 12 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 347, 882, 515, 12 using Euclid's Algorithm?

Answer: For arbitrary numbers 347, 882, 515, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.