Highest Common Factor of 2094, 1635 using Euclid's algorithm
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 2094, 1635 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2094, 1635 is 3 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 2094, 1635 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 2094, 1635 is 3.
HCF(2094, 1635) = 3
HCF of 2094, 1635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2094, 1635 is 3.
Highest Common Factor of 2094,1635 is 3
Step 1: Since 2094 > 1635, we apply the division lemma to 2094 and 1635, to get
2094 = 1635 x 1 + 459
Step 2: Since the reminder 1635 ≠ 0, we apply division lemma to 459 and 1635, to get
1635 = 459 x 3 + 258
Step 3: We consider the new divisor 459 and the new remainder 258, and apply the division lemma to get
459 = 258 x 1 + 201
We consider the new divisor 258 and the new remainder 201,and apply the division lemma to get
258 = 201 x 1 + 57
We consider the new divisor 201 and the new remainder 57,and apply the division lemma to get
201 = 57 x 3 + 30
We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get
57 = 30 x 1 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2094 and 1635 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(201,57) = HCF(258,201) = HCF(459,258) = HCF(1635,459) = HCF(2094,1635) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2094, 1635 using Euclid's Algorithm
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 2094, 1635?
Answer: HCF of 2094, 1635 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2094, 1635 using Euclid's Algorithm?
Answer: For arbitrary numbers 2094, 1635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.