Highest Common Factor of 1655, 9218, 47115 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 1655, 9218, 47115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1655, 9218, 47115 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 1655, 9218, 47115 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 1655, 9218, 47115 is 1.

HCF(1655, 9218, 47115) = 1

HCF of 1655, 9218, 47115 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 1655, 9218, 47115 is 1.

Highest Common Factor of 1655,9218,47115 using Euclid's algorithm

Highest Common Factor of 1655,9218,47115 is 1

Step 1: Since 9218 > 1655, we apply the division lemma to 9218 and 1655, to get

9218 = 1655 x 5 + 943

Step 2: Since the reminder 1655 ≠ 0, we apply division lemma to 943 and 1655, to get

1655 = 943 x 1 + 712

Step 3: We consider the new divisor 943 and the new remainder 712, and apply the division lemma to get

943 = 712 x 1 + 231

We consider the new divisor 712 and the new remainder 231,and apply the division lemma to get

712 = 231 x 3 + 19

We consider the new divisor 231 and the new remainder 19,and apply the division lemma to get

231 = 19 x 12 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1655 and 9218 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(231,19) = HCF(712,231) = HCF(943,712) = HCF(1655,943) = HCF(9218,1655) .

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

Step 1: Since 47115 > 1, we apply the division lemma to 47115 and 1, to get

47115 = 1 x 47115 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47115 is 1

Notice that 1 = HCF(47115,1) .

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Frequently Asked Questions on HCF of 1655, 9218, 47115 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 1655, 9218, 47115?

Answer: HCF of 1655, 9218, 47115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1655, 9218, 47115 using Euclid's Algorithm?

Answer: For arbitrary numbers 1655, 9218, 47115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.