Highest Common Factor of 782, 829, 761, 380 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 782, 829, 761, 380 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 782, 829, 761, 380 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 782, 829, 761, 380 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 782, 829, 761, 380 is 1.

HCF(782, 829, 761, 380) = 1

HCF of 782, 829, 761, 380 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 782, 829, 761, 380 is 1.

Highest Common Factor of 782,829,761,380 using Euclid's algorithm

Highest Common Factor of 782,829,761,380 is 1

Step 1: Since 829 > 782, we apply the division lemma to 829 and 782, to get

829 = 782 x 1 + 47

Step 2: Since the reminder 782 ≠ 0, we apply division lemma to 47 and 782, to get

782 = 47 x 16 + 30

Step 3: We consider the new divisor 47 and the new remainder 30, and apply the division lemma to get

47 = 30 x 1 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 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 782 and 829 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(47,30) = HCF(782,47) = HCF(829,782) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 761 > 1, we apply the division lemma to 761 and 1, to get

761 = 1 x 761 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 761 is 1

Notice that 1 = HCF(761,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 380 > 1, we apply the division lemma to 380 and 1, to get

380 = 1 x 380 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 380 is 1

Notice that 1 = HCF(380,1) .

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Frequently Asked Questions on HCF of 782, 829, 761, 380 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 782, 829, 761, 380?

Answer: HCF of 782, 829, 761, 380 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 782, 829, 761, 380 using Euclid's Algorithm?

Answer: For arbitrary numbers 782, 829, 761, 380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.