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 296, 18614 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 296, 18614 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 296, 18614 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 296, 18614 is 2.
HCF(296, 18614) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 296, 18614 is 2.
Step 1: Since 18614 > 296, we apply the division lemma to 18614 and 296, to get
18614 = 296 x 62 + 262
Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 262 and 296, to get
296 = 262 x 1 + 34
Step 3: We consider the new divisor 262 and the new remainder 34, and apply the division lemma to get
262 = 34 x 7 + 24
We consider the new divisor 34 and the new remainder 24,and apply the division lemma to get
34 = 24 x 1 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 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 296 and 18614 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(34,24) = HCF(262,34) = HCF(296,262) = HCF(18614,296) .
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 296, 18614?
Answer: HCF of 296, 18614 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 296, 18614 using Euclid's Algorithm?
Answer: For arbitrary numbers 296, 18614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.