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 908, 462 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 462 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 908, 462 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 908, 462 is 2.
HCF(908, 462) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 908, 462 is 2.
Step 1: Since 908 > 462, we apply the division lemma to 908 and 462, to get
908 = 462 x 1 + 446
Step 2: Since the reminder 462 ≠ 0, we apply division lemma to 446 and 462, to get
462 = 446 x 1 + 16
Step 3: We consider the new divisor 446 and the new remainder 16, and apply the division lemma to get
446 = 16 x 27 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 908 and 462 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(446,16) = HCF(462,446) = HCF(908,462) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 908, 462?
Answer: HCF of 908, 462 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 462 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.