Highest Common Factor of 569, 904, 674 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, 904, 674 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 569, 904, 674 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, 904, 674 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, 904, 674 is 1.

HCF(569, 904, 674) = 1

HCF of 569, 904, 674 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, 904, 674 is 1.

Highest Common Factor of 569,904,674 using Euclid's algorithm

Highest Common Factor of 569,904,674 is 1

Step 1: Since 904 > 569, we apply the division lemma to 904 and 569, to get

904 = 569 x 1 + 335

Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 335 and 569, to get

569 = 335 x 1 + 234

Step 3: We consider the new divisor 335 and the new remainder 234, and apply the division lemma to get

335 = 234 x 1 + 101

We consider the new divisor 234 and the new remainder 101,and apply the division lemma to get

234 = 101 x 2 + 32

We consider the new divisor 101 and the new remainder 32,and apply the division lemma to get

101 = 32 x 3 + 5

We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get

32 = 5 x 6 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 569 and 904 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(101,32) = HCF(234,101) = HCF(335,234) = HCF(569,335) = HCF(904,569) .

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

Step 1: Since 674 > 1, we apply the division lemma to 674 and 1, to get

674 = 1 x 674 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 674 is 1

Notice that 1 = HCF(674,1) .

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Frequently Asked Questions on HCF of 569, 904, 674 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, 904, 674?

Answer: HCF of 569, 904, 674 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 569, 904, 674 using Euclid's Algorithm?

Answer: For arbitrary numbers 569, 904, 674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.