Highest Common Factor of 564, 97, 343 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 564, 97, 343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 564, 97, 343 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 564, 97, 343 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 564, 97, 343 is 1.

HCF(564, 97, 343) = 1

HCF of 564, 97, 343 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 564, 97, 343 is 1.

Highest Common Factor of 564,97,343 using Euclid's algorithm

Highest Common Factor of 564,97,343 is 1

Step 1: Since 564 > 97, we apply the division lemma to 564 and 97, to get

564 = 97 x 5 + 79

Step 2: Since the reminder 97 ≠ 0, we apply division lemma to 79 and 97, to get

97 = 79 x 1 + 18

Step 3: We consider the new divisor 79 and the new remainder 18, and apply the division lemma to get

79 = 18 x 4 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 564 and 97 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(79,18) = HCF(97,79) = HCF(564,97) .

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

Step 1: Since 343 > 1, we apply the division lemma to 343 and 1, to get

343 = 1 x 343 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 343 is 1

Notice that 1 = HCF(343,1) .

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Frequently Asked Questions on HCF of 564, 97, 343 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 564, 97, 343?

Answer: HCF of 564, 97, 343 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 564, 97, 343 using Euclid's Algorithm?

Answer: For arbitrary numbers 564, 97, 343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.