Highest Common Factor of 788, 44737 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 788, 44737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 788, 44737 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 788, 44737 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 788, 44737 is 1.

HCF(788, 44737) = 1

HCF of 788, 44737 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 788, 44737 is 1.

Highest Common Factor of 788,44737 using Euclid's algorithm

Highest Common Factor of 788,44737 is 1

Step 1: Since 44737 > 788, we apply the division lemma to 44737 and 788, to get

44737 = 788 x 56 + 609

Step 2: Since the reminder 788 ≠ 0, we apply division lemma to 609 and 788, to get

788 = 609 x 1 + 179

Step 3: We consider the new divisor 609 and the new remainder 179, and apply the division lemma to get

609 = 179 x 3 + 72

We consider the new divisor 179 and the new remainder 72,and apply the division lemma to get

179 = 72 x 2 + 35

We consider the new divisor 72 and the new remainder 35,and apply the division lemma to get

72 = 35 x 2 + 2

We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get

35 = 2 x 17 + 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 788 and 44737 is 1

Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(72,35) = HCF(179,72) = HCF(609,179) = HCF(788,609) = HCF(44737,788) .

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Frequently Asked Questions on HCF of 788, 44737 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 788, 44737?

Answer: HCF of 788, 44737 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 788, 44737 using Euclid's Algorithm?

Answer: For arbitrary numbers 788, 44737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.