Highest Common Factor of 569, 392, 313, 666 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 569, 392, 313, 666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 569, 392, 313, 666 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 569, 392, 313, 666 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 569, 392, 313, 666 is 1.

HCF(569, 392, 313, 666) = 1

HCF of 569, 392, 313, 666 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 569, 392, 313, 666 is 1.

Highest Common Factor of 569,392,313,666 using Euclid's algorithm

Highest Common Factor of 569,392,313,666 is 1

Step 1: Since 569 > 392, we apply the division lemma to 569 and 392, to get

569 = 392 x 1 + 177

Step 2: Since the reminder 392 ≠ 0, we apply division lemma to 177 and 392, to get

392 = 177 x 2 + 38

Step 3: We consider the new divisor 177 and the new remainder 38, and apply the division lemma to get

177 = 38 x 4 + 25

We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get

38 = 25 x 1 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 569 and 392 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(177,38) = HCF(392,177) = HCF(569,392) .

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

Step 1: Since 313 > 1, we apply the division lemma to 313 and 1, to get

313 = 1 x 313 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 313 is 1

Notice that 1 = HCF(313,1) .

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

Step 1: Since 666 > 1, we apply the division lemma to 666 and 1, to get

666 = 1 x 666 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 666 is 1

Notice that 1 = HCF(666,1) .

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Frequently Asked Questions on HCF of 569, 392, 313, 666 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 569, 392, 313, 666?

Answer: HCF of 569, 392, 313, 666 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 569, 392, 313, 666 using Euclid's Algorithm?

Answer: For arbitrary numbers 569, 392, 313, 666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.