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 361, 2685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 2685 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 361, 2685 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 361, 2685 is 1.
HCF(361, 2685) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 361, 2685 is 1.
Step 1: Since 2685 > 361, we apply the division lemma to 2685 and 361, to get
2685 = 361 x 7 + 158
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 158 and 361, to get
361 = 158 x 2 + 45
Step 3: We consider the new divisor 158 and the new remainder 45, and apply the division lemma to get
158 = 45 x 3 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 361 and 2685 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(158,45) = HCF(361,158) = HCF(2685,361) .
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 361, 2685?
Answer: HCF of 361, 2685 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 2685 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 2685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.