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 964, 494 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 964, 494 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 964, 494 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 964, 494 is 2.
HCF(964, 494) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 964, 494 is 2.
Step 1: Since 964 > 494, we apply the division lemma to 964 and 494, to get
964 = 494 x 1 + 470
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 470 and 494, to get
494 = 470 x 1 + 24
Step 3: We consider the new divisor 470 and the new remainder 24, and apply the division lemma to get
470 = 24 x 19 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 964 and 494 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(470,24) = HCF(494,470) = HCF(964,494) .
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 964, 494?
Answer: HCF of 964, 494 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 964, 494 using Euclid's Algorithm?
Answer: For arbitrary numbers 964, 494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.