Highest Common Factor of 701, 269, 462, 464 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 701, 269, 462, 464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 701, 269, 462, 464 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 701, 269, 462, 464 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 701, 269, 462, 464 is 1.

HCF(701, 269, 462, 464) = 1

HCF of 701, 269, 462, 464 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 701, 269, 462, 464 is 1.

Highest Common Factor of 701,269,462,464 using Euclid's algorithm

Highest Common Factor of 701,269,462,464 is 1

Step 1: Since 701 > 269, we apply the division lemma to 701 and 269, to get

701 = 269 x 2 + 163

Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 163 and 269, to get

269 = 163 x 1 + 106

Step 3: We consider the new divisor 163 and the new remainder 106, and apply the division lemma to get

163 = 106 x 1 + 57

We consider the new divisor 106 and the new remainder 57,and apply the division lemma to get

106 = 57 x 1 + 49

We consider the new divisor 57 and the new remainder 49,and apply the division lemma to get

57 = 49 x 1 + 8

We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get

49 = 8 x 6 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 269 is 1

Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(57,49) = HCF(106,57) = HCF(163,106) = HCF(269,163) = HCF(701,269) .

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

Step 1: Since 462 > 1, we apply the division lemma to 462 and 1, to get

462 = 1 x 462 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 462 is 1

Notice that 1 = HCF(462,1) .

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

Step 1: Since 464 > 1, we apply the division lemma to 464 and 1, to get

464 = 1 x 464 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 464 is 1

Notice that 1 = HCF(464,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 701, 269, 462, 464 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 701, 269, 462, 464?

Answer: HCF of 701, 269, 462, 464 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 701, 269, 462, 464 using Euclid's Algorithm?

Answer: For arbitrary numbers 701, 269, 462, 464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.