Highest Common Factor of 556, 913 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 556, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 556, 913 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 556, 913 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 556, 913 is 1.

HCF(556, 913) = 1

HCF of 556, 913 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 556, 913 is 1.

Highest Common Factor of 556,913 using Euclid's algorithm

Highest Common Factor of 556,913 is 1

Step 1: Since 913 > 556, we apply the division lemma to 913 and 556, to get

913 = 556 x 1 + 357

Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 357 and 556, to get

556 = 357 x 1 + 199

Step 3: We consider the new divisor 357 and the new remainder 199, and apply the division lemma to get

357 = 199 x 1 + 158

We consider the new divisor 199 and the new remainder 158,and apply the division lemma to get

199 = 158 x 1 + 41

We consider the new divisor 158 and the new remainder 41,and apply the division lemma to get

158 = 41 x 3 + 35

We consider the new divisor 41 and the new remainder 35,and apply the division lemma to get

41 = 35 x 1 + 6

We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get

35 = 6 x 5 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 556 and 913 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(41,35) = HCF(158,41) = HCF(199,158) = HCF(357,199) = HCF(556,357) = HCF(913,556) .

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Frequently Asked Questions on HCF of 556, 913 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 556, 913?

Answer: HCF of 556, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 556, 913 using Euclid's Algorithm?

Answer: For arbitrary numbers 556, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.