Highest Common Factor of 436, 706 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 436, 706 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 436, 706 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 436, 706 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 436, 706 is 2.
HCF(436, 706) = 2
HCF of 436, 706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 436, 706 is 2.
Highest Common Factor of 436,706 is 2
Step 1: Since 706 > 436, we apply the division lemma to 706 and 436, to get
706 = 436 x 1 + 270
Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 270 and 436, to get
436 = 270 x 1 + 166
Step 3: We consider the new divisor 270 and the new remainder 166, and apply the division lemma to get
270 = 166 x 1 + 104
We consider the new divisor 166 and the new remainder 104,and apply the division lemma to get
166 = 104 x 1 + 62
We consider the new divisor 104 and the new remainder 62,and apply the division lemma to get
104 = 62 x 1 + 42
We consider the new divisor 62 and the new remainder 42,and apply the division lemma to get
62 = 42 x 1 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 436 and 706 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(62,42) = HCF(104,62) = HCF(166,104) = HCF(270,166) = HCF(436,270) = HCF(706,436) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 436, 706 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 436, 706?
Answer: HCF of 436, 706 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 436, 706 using Euclid's Algorithm?
Answer: For arbitrary numbers 436, 706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.