Highest Common Factor of 795, 7049, 7582 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 795, 7049, 7582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 795, 7049, 7582 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 795, 7049, 7582 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 795, 7049, 7582 is 1.

HCF(795, 7049, 7582) = 1

HCF of 795, 7049, 7582 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 795, 7049, 7582 is 1.

Highest Common Factor of 795,7049,7582 using Euclid's algorithm

Highest Common Factor of 795,7049,7582 is 1

Step 1: Since 7049 > 795, we apply the division lemma to 7049 and 795, to get

7049 = 795 x 8 + 689

Step 2: Since the reminder 795 ≠ 0, we apply division lemma to 689 and 795, to get

795 = 689 x 1 + 106

Step 3: We consider the new divisor 689 and the new remainder 106, and apply the division lemma to get

689 = 106 x 6 + 53

We consider the new divisor 106 and the new remainder 53, and apply the division lemma to get

106 = 53 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 795 and 7049 is 53

Notice that 53 = HCF(106,53) = HCF(689,106) = HCF(795,689) = HCF(7049,795) .

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

Step 1: Since 7582 > 53, we apply the division lemma to 7582 and 53, to get

7582 = 53 x 143 + 3

Step 2: Since the reminder 53 ≠ 0, we apply division lemma to 3 and 53, to get

53 = 3 x 17 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 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 53 and 7582 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(7582,53) .

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Frequently Asked Questions on HCF of 795, 7049, 7582 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 795, 7049, 7582?

Answer: HCF of 795, 7049, 7582 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 795, 7049, 7582 using Euclid's Algorithm?

Answer: For arbitrary numbers 795, 7049, 7582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.