Highest Common Factor of 266, 690, 929 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 266, 690, 929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 266, 690, 929 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 266, 690, 929 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 266, 690, 929 is 1.

HCF(266, 690, 929) = 1

HCF of 266, 690, 929 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 266, 690, 929 is 1.

Highest Common Factor of 266,690,929 using Euclid's algorithm

Highest Common Factor of 266,690,929 is 1

Step 1: Since 690 > 266, we apply the division lemma to 690 and 266, to get

690 = 266 x 2 + 158

Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 158 and 266, to get

266 = 158 x 1 + 108

Step 3: We consider the new divisor 158 and the new remainder 108, and apply the division lemma to get

158 = 108 x 1 + 50

We consider the new divisor 108 and the new remainder 50,and apply the division lemma to get

108 = 50 x 2 + 8

We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get

50 = 8 x 6 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 266 and 690 is 2

Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(108,50) = HCF(158,108) = HCF(266,158) = HCF(690,266) .

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

Step 1: Since 929 > 2, we apply the division lemma to 929 and 2, to get

929 = 2 x 464 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 929 is 1

Notice that 1 = HCF(2,1) = HCF(929,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 266, 690, 929 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 266, 690, 929?

Answer: HCF of 266, 690, 929 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 266, 690, 929 using Euclid's Algorithm?

Answer: For arbitrary numbers 266, 690, 929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.