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 3624, 3235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3624, 3235 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 3624, 3235 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 3624, 3235 is 1.
HCF(3624, 3235) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3624, 3235 is 1.
Step 1: Since 3624 > 3235, we apply the division lemma to 3624 and 3235, to get
3624 = 3235 x 1 + 389
Step 2: Since the reminder 3235 ≠ 0, we apply division lemma to 389 and 3235, to get
3235 = 389 x 8 + 123
Step 3: We consider the new divisor 389 and the new remainder 123, and apply the division lemma to get
389 = 123 x 3 + 20
We consider the new divisor 123 and the new remainder 20,and apply the division lemma to get
123 = 20 x 6 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3624 and 3235 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(123,20) = HCF(389,123) = HCF(3235,389) = HCF(3624,3235) .
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 3624, 3235?
Answer: HCF of 3624, 3235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3624, 3235 using Euclid's Algorithm?
Answer: For arbitrary numbers 3624, 3235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.