Highest Common Factor of 913, 655, 928 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 913, 655, 928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 913, 655, 928 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 913, 655, 928 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 913, 655, 928 is 1.

HCF(913, 655, 928) = 1

HCF of 913, 655, 928 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 913, 655, 928 is 1.

Highest Common Factor of 913,655,928 using Euclid's algorithm

Highest Common Factor of 913,655,928 is 1

Step 1: Since 913 > 655, we apply the division lemma to 913 and 655, to get

913 = 655 x 1 + 258

Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 258 and 655, to get

655 = 258 x 2 + 139

Step 3: We consider the new divisor 258 and the new remainder 139, and apply the division lemma to get

258 = 139 x 1 + 119

We consider the new divisor 139 and the new remainder 119,and apply the division lemma to get

139 = 119 x 1 + 20

We consider the new divisor 119 and the new remainder 20,and apply the division lemma to get

119 = 20 x 5 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 913 and 655 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(119,20) = HCF(139,119) = HCF(258,139) = HCF(655,258) = HCF(913,655) .

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

Step 1: Since 928 > 1, we apply the division lemma to 928 and 1, to get

928 = 1 x 928 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 928 is 1

Notice that 1 = HCF(928,1) .

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Frequently Asked Questions on HCF of 913, 655, 928 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 913, 655, 928?

Answer: HCF of 913, 655, 928 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 913, 655, 928 using Euclid's Algorithm?

Answer: For arbitrary numbers 913, 655, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.