Highest Common Factor of 727, 427, 694 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 727, 427, 694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 727, 427, 694 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 727, 427, 694 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 727, 427, 694 is 1.

HCF(727, 427, 694) = 1

HCF of 727, 427, 694 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 727, 427, 694 is 1.

Highest Common Factor of 727,427,694 using Euclid's algorithm

Highest Common Factor of 727,427,694 is 1

Step 1: Since 727 > 427, we apply the division lemma to 727 and 427, to get

727 = 427 x 1 + 300

Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 300 and 427, to get

427 = 300 x 1 + 127

Step 3: We consider the new divisor 300 and the new remainder 127, and apply the division lemma to get

300 = 127 x 2 + 46

We consider the new divisor 127 and the new remainder 46,and apply the division lemma to get

127 = 46 x 2 + 35

We consider the new divisor 46 and the new remainder 35,and apply the division lemma to get

46 = 35 x 1 + 11

We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get

35 = 11 x 3 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 727 and 427 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(46,35) = HCF(127,46) = HCF(300,127) = HCF(427,300) = HCF(727,427) .

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

Step 1: Since 694 > 1, we apply the division lemma to 694 and 1, to get

694 = 1 x 694 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 694 is 1

Notice that 1 = HCF(694,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 727, 427, 694 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 727, 427, 694?

Answer: HCF of 727, 427, 694 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 727, 427, 694 using Euclid's Algorithm?

Answer: For arbitrary numbers 727, 427, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.