Highest Common Factor of 697, 965, 683, 741 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 697, 965, 683, 741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 697, 965, 683, 741 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 697, 965, 683, 741 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 697, 965, 683, 741 is 1.

HCF(697, 965, 683, 741) = 1

HCF of 697, 965, 683, 741 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 697, 965, 683, 741 is 1.

Highest Common Factor of 697,965,683,741 using Euclid's algorithm

Highest Common Factor of 697,965,683,741 is 1

Step 1: Since 965 > 697, we apply the division lemma to 965 and 697, to get

965 = 697 x 1 + 268

Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 268 and 697, to get

697 = 268 x 2 + 161

Step 3: We consider the new divisor 268 and the new remainder 161, and apply the division lemma to get

268 = 161 x 1 + 107

We consider the new divisor 161 and the new remainder 107,and apply the division lemma to get

161 = 107 x 1 + 54

We consider the new divisor 107 and the new remainder 54,and apply the division lemma to get

107 = 54 x 1 + 53

We consider the new divisor 54 and the new remainder 53,and apply the division lemma to get

54 = 53 x 1 + 1

We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get

53 = 1 x 53 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 697 and 965 is 1

Notice that 1 = HCF(53,1) = HCF(54,53) = HCF(107,54) = HCF(161,107) = HCF(268,161) = HCF(697,268) = HCF(965,697) .

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

Step 1: Since 683 > 1, we apply the division lemma to 683 and 1, to get

683 = 1 x 683 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 683 is 1

Notice that 1 = HCF(683,1) .

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

Step 1: Since 741 > 1, we apply the division lemma to 741 and 1, to get

741 = 1 x 741 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 741 is 1

Notice that 1 = HCF(741,1) .

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Frequently Asked Questions on HCF of 697, 965, 683, 741 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 697, 965, 683, 741?

Answer: HCF of 697, 965, 683, 741 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 697, 965, 683, 741 using Euclid's Algorithm?

Answer: For arbitrary numbers 697, 965, 683, 741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.