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 246, 19034 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 246, 19034 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 246, 19034 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 246, 19034 is 2.
HCF(246, 19034) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 246, 19034 is 2.
Step 1: Since 19034 > 246, we apply the division lemma to 19034 and 246, to get
19034 = 246 x 77 + 92
Step 2: Since the reminder 246 ≠ 0, we apply division lemma to 92 and 246, to get
246 = 92 x 2 + 62
Step 3: We consider the new divisor 92 and the new remainder 62, and apply the division lemma to get
92 = 62 x 1 + 30
We consider the new divisor 62 and the new remainder 30,and apply the division lemma to get
62 = 30 x 2 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 246 and 19034 is 2
Notice that 2 = HCF(30,2) = HCF(62,30) = HCF(92,62) = HCF(246,92) = HCF(19034,246) .
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 246, 19034?
Answer: HCF of 246, 19034 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 246, 19034 using Euclid's Algorithm?
Answer: For arbitrary numbers 246, 19034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.