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 209, 92346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 209, 92346 is 1 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 209, 92346 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 209, 92346 is 1.
HCF(209, 92346) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 209, 92346 is 1.
Step 1: Since 92346 > 209, we apply the division lemma to 92346 and 209, to get
92346 = 209 x 441 + 177
Step 2: Since the reminder 209 ≠ 0, we apply division lemma to 177 and 209, to get
209 = 177 x 1 + 32
Step 3: We consider the new divisor 177 and the new remainder 32, and apply the division lemma to get
177 = 32 x 5 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 209 and 92346 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(177,32) = HCF(209,177) = HCF(92346,209) .
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 209, 92346?
Answer: HCF of 209, 92346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 209, 92346 using Euclid's Algorithm?
Answer: For arbitrary numbers 209, 92346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.