Highest Common Factor of 276, 707, 29 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 276, 707, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 276, 707, 29 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 276, 707, 29 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 276, 707, 29 is 1.

HCF(276, 707, 29) = 1

HCF of 276, 707, 29 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 276, 707, 29 is 1.

Highest Common Factor of 276,707,29 using Euclid's algorithm

Highest Common Factor of 276,707,29 is 1

Step 1: Since 707 > 276, we apply the division lemma to 707 and 276, to get

707 = 276 x 2 + 155

Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 155 and 276, to get

276 = 155 x 1 + 121

Step 3: We consider the new divisor 155 and the new remainder 121, and apply the division lemma to get

155 = 121 x 1 + 34

We consider the new divisor 121 and the new remainder 34,and apply the division lemma to get

121 = 34 x 3 + 19

We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get

34 = 19 x 1 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 276 and 707 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(121,34) = HCF(155,121) = HCF(276,155) = HCF(707,276) .

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

Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1

Notice that 1 = HCF(29,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 276, 707, 29 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 276, 707, 29?

Answer: HCF of 276, 707, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 276, 707, 29 using Euclid's Algorithm?

Answer: For arbitrary numbers 276, 707, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.