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 634, 96 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 634, 96 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 634, 96 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 634, 96 is 2.
HCF(634, 96) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 634, 96 is 2.
Step 1: Since 634 > 96, we apply the division lemma to 634 and 96, to get
634 = 96 x 6 + 58
Step 2: Since the reminder 96 ≠ 0, we apply division lemma to 58 and 96, to get
96 = 58 x 1 + 38
Step 3: We consider the new divisor 58 and the new remainder 38, and apply the division lemma to get
58 = 38 x 1 + 20
We consider the new divisor 38 and the new remainder 20,and apply the division lemma to get
38 = 20 x 1 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 634 and 96 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(58,38) = HCF(96,58) = HCF(634,96) .
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 634, 96?
Answer: HCF of 634, 96 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 634, 96 using Euclid's Algorithm?
Answer: For arbitrary numbers 634, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.