Highest Common Factor of 545, 897, 101 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 545, 897, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 545, 897, 101 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 545, 897, 101 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 545, 897, 101 is 1.

HCF(545, 897, 101) = 1

HCF of 545, 897, 101 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 545, 897, 101 is 1.

Highest Common Factor of 545,897,101 using Euclid's algorithm

Highest Common Factor of 545,897,101 is 1

Step 1: Since 897 > 545, we apply the division lemma to 897 and 545, to get

897 = 545 x 1 + 352

Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 352 and 545, to get

545 = 352 x 1 + 193

Step 3: We consider the new divisor 352 and the new remainder 193, and apply the division lemma to get

352 = 193 x 1 + 159

We consider the new divisor 193 and the new remainder 159,and apply the division lemma to get

193 = 159 x 1 + 34

We consider the new divisor 159 and the new remainder 34,and apply the division lemma to get

159 = 34 x 4 + 23

We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get

34 = 23 x 1 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 545 and 897 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(159,34) = HCF(193,159) = HCF(352,193) = HCF(545,352) = HCF(897,545) .

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

Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get

101 = 1 x 101 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1

Notice that 1 = HCF(101,1) .

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Frequently Asked Questions on HCF of 545, 897, 101 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 545, 897, 101?

Answer: HCF of 545, 897, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 545, 897, 101 using Euclid's Algorithm?

Answer: For arbitrary numbers 545, 897, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.