Highest Common Factor of 897, 577, 834, 329 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 897, 577, 834, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 897, 577, 834, 329 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 897, 577, 834, 329 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 897, 577, 834, 329 is 1.

HCF(897, 577, 834, 329) = 1

HCF of 897, 577, 834, 329 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 897, 577, 834, 329 is 1.

Highest Common Factor of 897,577,834,329 using Euclid's algorithm

Highest Common Factor of 897,577,834,329 is 1

Step 1: Since 897 > 577, we apply the division lemma to 897 and 577, to get

897 = 577 x 1 + 320

Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 320 and 577, to get

577 = 320 x 1 + 257

Step 3: We consider the new divisor 320 and the new remainder 257, and apply the division lemma to get

320 = 257 x 1 + 63

We consider the new divisor 257 and the new remainder 63,and apply the division lemma to get

257 = 63 x 4 + 5

We consider the new divisor 63 and the new remainder 5,and apply the division lemma to get

63 = 5 x 12 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 897 and 577 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(63,5) = HCF(257,63) = HCF(320,257) = HCF(577,320) = HCF(897,577) .

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

Step 1: Since 834 > 1, we apply the division lemma to 834 and 1, to get

834 = 1 x 834 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 834 is 1

Notice that 1 = HCF(834,1) .

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

Step 1: Since 329 > 1, we apply the division lemma to 329 and 1, to get

329 = 1 x 329 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 329 is 1

Notice that 1 = HCF(329,1) .

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Frequently Asked Questions on HCF of 897, 577, 834, 329 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 897, 577, 834, 329?

Answer: HCF of 897, 577, 834, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 897, 577, 834, 329 using Euclid's Algorithm?

Answer: For arbitrary numbers 897, 577, 834, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.