Highest Common Factor of 577, 788 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 577, 788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 577, 788 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 577, 788 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 577, 788 is 1.

HCF(577, 788) = 1

HCF of 577, 788 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 577, 788 is 1.

Highest Common Factor of 577,788 using Euclid's algorithm

Highest Common Factor of 577,788 is 1

Step 1: Since 788 > 577, we apply the division lemma to 788 and 577, to get

788 = 577 x 1 + 211

Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 211 and 577, to get

577 = 211 x 2 + 155

Step 3: We consider the new divisor 211 and the new remainder 155, and apply the division lemma to get

211 = 155 x 1 + 56

We consider the new divisor 155 and the new remainder 56,and apply the division lemma to get

155 = 56 x 2 + 43

We consider the new divisor 56 and the new remainder 43,and apply the division lemma to get

56 = 43 x 1 + 13

We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get

43 = 13 x 3 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 577 and 788 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(56,43) = HCF(155,56) = HCF(211,155) = HCF(577,211) = HCF(788,577) .

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Frequently Asked Questions on HCF of 577, 788 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 577, 788?

Answer: HCF of 577, 788 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 577, 788 using Euclid's Algorithm?

Answer: For arbitrary numbers 577, 788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.