Highest Common Factor of 266, 2442, 1406 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, 2442, 1406 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 266, 2442, 1406 is 2 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, 2442, 1406 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, 2442, 1406 is 2.
HCF(266, 2442, 1406) = 2
HCF of 266, 2442, 1406 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 266, 2442, 1406 is 2.
Highest Common Factor of 266,2442,1406 is 2
Step 1: Since 2442 > 266, we apply the division lemma to 2442 and 266, to get
2442 = 266 x 9 + 48
Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 48 and 266, to get
266 = 48 x 5 + 26
Step 3: We consider the new divisor 48 and the new remainder 26, and apply the division lemma to get
48 = 26 x 1 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 266 and 2442 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(48,26) = HCF(266,48) = HCF(2442,266) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1406 > 2, we apply the division lemma to 1406 and 2, to get
1406 = 2 x 703 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 1406 is 2
Notice that 2 = HCF(1406,2) .
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, 2442, 1406 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, 2442, 1406?
Answer: HCF of 266, 2442, 1406 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 266, 2442, 1406 using Euclid's Algorithm?
Answer: For arbitrary numbers 266, 2442, 1406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.