Highest Common Factor of 783, 6760 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 783, 6760 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 783, 6760 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 783, 6760 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 783, 6760 is 1.

HCF(783, 6760) = 1

HCF of 783, 6760 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 783, 6760 is 1.

Highest Common Factor of 783,6760 using Euclid's algorithm

Highest Common Factor of 783,6760 is 1

Step 1: Since 6760 > 783, we apply the division lemma to 6760 and 783, to get

6760 = 783 x 8 + 496

Step 2: Since the reminder 783 ≠ 0, we apply division lemma to 496 and 783, to get

783 = 496 x 1 + 287

Step 3: We consider the new divisor 496 and the new remainder 287, and apply the division lemma to get

496 = 287 x 1 + 209

We consider the new divisor 287 and the new remainder 209,and apply the division lemma to get

287 = 209 x 1 + 78

We consider the new divisor 209 and the new remainder 78,and apply the division lemma to get

209 = 78 x 2 + 53

We consider the new divisor 78 and the new remainder 53,and apply the division lemma to get

78 = 53 x 1 + 25

We consider the new divisor 53 and the new remainder 25,and apply the division lemma to get

53 = 25 x 2 + 3

We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get

25 = 3 x 8 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 783 and 6760 is 1

Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(53,25) = HCF(78,53) = HCF(209,78) = HCF(287,209) = HCF(496,287) = HCF(783,496) = HCF(6760,783) .

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Frequently Asked Questions on HCF of 783, 6760 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 783, 6760?

Answer: HCF of 783, 6760 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 783, 6760 using Euclid's Algorithm?

Answer: For arbitrary numbers 783, 6760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.