Highest Common Factor of 787, 8090 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 787, 8090 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 787, 8090 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 787, 8090 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 787, 8090 is 1.

HCF(787, 8090) = 1

HCF of 787, 8090 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 787, 8090 is 1.

Highest Common Factor of 787,8090 using Euclid's algorithm

Highest Common Factor of 787,8090 is 1

Step 1: Since 8090 > 787, we apply the division lemma to 8090 and 787, to get

8090 = 787 x 10 + 220

Step 2: Since the reminder 787 ≠ 0, we apply division lemma to 220 and 787, to get

787 = 220 x 3 + 127

Step 3: We consider the new divisor 220 and the new remainder 127, and apply the division lemma to get

220 = 127 x 1 + 93

We consider the new divisor 127 and the new remainder 93,and apply the division lemma to get

127 = 93 x 1 + 34

We consider the new divisor 93 and the new remainder 34,and apply the division lemma to get

93 = 34 x 2 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 787 and 8090 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(93,34) = HCF(127,93) = HCF(220,127) = HCF(787,220) = HCF(8090,787) .

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Frequently Asked Questions on HCF of 787, 8090 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 787, 8090?

Answer: HCF of 787, 8090 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 787, 8090 using Euclid's Algorithm?

Answer: For arbitrary numbers 787, 8090 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.