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, 10955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 10955 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, 10955 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, 10955 is 1.
HCF(361, 10955) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 361, 10955 is 1.
Step 1: Since 10955 > 361, we apply the division lemma to 10955 and 361, to get
10955 = 361 x 30 + 125
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 125 and 361, to get
361 = 125 x 2 + 111
Step 3: We consider the new divisor 125 and the new remainder 111, and apply the division lemma to get
125 = 111 x 1 + 14
We consider the new divisor 111 and the new remainder 14,and apply the division lemma to get
111 = 14 x 7 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 361 and 10955 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(111,14) = HCF(125,111) = HCF(361,125) = HCF(10955,361) .
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, 10955?
Answer: HCF of 361, 10955 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 10955 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 10955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.