Highest Common Factor of 357, 566, 847 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 357, 566, 847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 357, 566, 847 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 357, 566, 847 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 357, 566, 847 is 1.

HCF(357, 566, 847) = 1

HCF of 357, 566, 847 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 357, 566, 847 is 1.

Highest Common Factor of 357,566,847 using Euclid's algorithm

Highest Common Factor of 357,566,847 is 1

Step 1: Since 566 > 357, we apply the division lemma to 566 and 357, to get

566 = 357 x 1 + 209

Step 2: Since the reminder 357 ≠ 0, we apply division lemma to 209 and 357, to get

357 = 209 x 1 + 148

Step 3: We consider the new divisor 209 and the new remainder 148, and apply the division lemma to get

209 = 148 x 1 + 61

We consider the new divisor 148 and the new remainder 61,and apply the division lemma to get

148 = 61 x 2 + 26

We consider the new divisor 61 and the new remainder 26,and apply the division lemma to get

61 = 26 x 2 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 357 and 566 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(61,26) = HCF(148,61) = HCF(209,148) = HCF(357,209) = HCF(566,357) .

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

Step 1: Since 847 > 1, we apply the division lemma to 847 and 1, to get

847 = 1 x 847 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 847 is 1

Notice that 1 = HCF(847,1) .

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Frequently Asked Questions on HCF of 357, 566, 847 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 357, 566, 847?

Answer: HCF of 357, 566, 847 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 357, 566, 847 using Euclid's Algorithm?

Answer: For arbitrary numbers 357, 566, 847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.