Highest Common Factor of 845, 617, 100 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 845, 617, 100 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 845, 617, 100 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 845, 617, 100 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 845, 617, 100 is 1.

HCF(845, 617, 100) = 1

HCF of 845, 617, 100 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 845, 617, 100 is 1.

Highest Common Factor of 845,617,100 using Euclid's algorithm

Highest Common Factor of 845,617,100 is 1

Step 1: Since 845 > 617, we apply the division lemma to 845 and 617, to get

845 = 617 x 1 + 228

Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 228 and 617, to get

617 = 228 x 2 + 161

Step 3: We consider the new divisor 228 and the new remainder 161, and apply the division lemma to get

228 = 161 x 1 + 67

We consider the new divisor 161 and the new remainder 67,and apply the division lemma to get

161 = 67 x 2 + 27

We consider the new divisor 67 and the new remainder 27,and apply the division lemma to get

67 = 27 x 2 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 845 and 617 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(67,27) = HCF(161,67) = HCF(228,161) = HCF(617,228) = HCF(845,617) .

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

Step 1: Since 100 > 1, we apply the division lemma to 100 and 1, to get

100 = 1 x 100 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 100 is 1

Notice that 1 = HCF(100,1) .

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Frequently Asked Questions on HCF of 845, 617, 100 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 845, 617, 100?

Answer: HCF of 845, 617, 100 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 845, 617, 100 using Euclid's Algorithm?

Answer: For arbitrary numbers 845, 617, 100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.