Highest Common Factor of 745, 92096 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 745, 92096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 745, 92096 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 745, 92096 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 745, 92096 is 1.

HCF(745, 92096) = 1

HCF of 745, 92096 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 745, 92096 is 1.

Highest Common Factor of 745,92096 using Euclid's algorithm

Highest Common Factor of 745,92096 is 1

Step 1: Since 92096 > 745, we apply the division lemma to 92096 and 745, to get

92096 = 745 x 123 + 461

Step 2: Since the reminder 745 ≠ 0, we apply division lemma to 461 and 745, to get

745 = 461 x 1 + 284

Step 3: We consider the new divisor 461 and the new remainder 284, and apply the division lemma to get

461 = 284 x 1 + 177

We consider the new divisor 284 and the new remainder 177,and apply the division lemma to get

284 = 177 x 1 + 107

We consider the new divisor 177 and the new remainder 107,and apply the division lemma to get

177 = 107 x 1 + 70

We consider the new divisor 107 and the new remainder 70,and apply the division lemma to get

107 = 70 x 1 + 37

We consider the new divisor 70 and the new remainder 37,and apply the division lemma to get

70 = 37 x 1 + 33

We consider the new divisor 37 and the new remainder 33,and apply the division lemma to get

37 = 33 x 1 + 4

We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get

33 = 4 x 8 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 745 and 92096 is 1

Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) = HCF(70,37) = HCF(107,70) = HCF(177,107) = HCF(284,177) = HCF(461,284) = HCF(745,461) = HCF(92096,745) .

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Frequently Asked Questions on HCF of 745, 92096 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 745, 92096?

Answer: HCF of 745, 92096 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 745, 92096 using Euclid's Algorithm?

Answer: For arbitrary numbers 745, 92096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.