Highest Common Factor of 3695, 1969 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 3695, 1969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3695, 1969 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 3695, 1969 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 3695, 1969 is 1.
HCF(3695, 1969) = 1
HCF of 3695, 1969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3695, 1969 is 1.
Highest Common Factor of 3695,1969 is 1
Step 1: Since 3695 > 1969, we apply the division lemma to 3695 and 1969, to get
3695 = 1969 x 1 + 1726
Step 2: Since the reminder 1969 ≠ 0, we apply division lemma to 1726 and 1969, to get
1969 = 1726 x 1 + 243
Step 3: We consider the new divisor 1726 and the new remainder 243, and apply the division lemma to get
1726 = 243 x 7 + 25
We consider the new divisor 243 and the new remainder 25,and apply the division lemma to get
243 = 25 x 9 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3695 and 1969 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(243,25) = HCF(1726,243) = HCF(1969,1726) = HCF(3695,1969) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3695, 1969 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 3695, 1969?
Answer: HCF of 3695, 1969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3695, 1969 using Euclid's Algorithm?
Answer: For arbitrary numbers 3695, 1969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.