Highest Common Factor of 5935, 3605 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 5935, 3605 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5935, 3605 is 5 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 5935, 3605 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 5935, 3605 is 5.
HCF(5935, 3605) = 5
HCF of 5935, 3605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5935, 3605 is 5.
Highest Common Factor of 5935,3605 is 5
Step 1: Since 5935 > 3605, we apply the division lemma to 5935 and 3605, to get
5935 = 3605 x 1 + 2330
Step 2: Since the reminder 3605 ≠ 0, we apply division lemma to 2330 and 3605, to get
3605 = 2330 x 1 + 1275
Step 3: We consider the new divisor 2330 and the new remainder 1275, and apply the division lemma to get
2330 = 1275 x 1 + 1055
We consider the new divisor 1275 and the new remainder 1055,and apply the division lemma to get
1275 = 1055 x 1 + 220
We consider the new divisor 1055 and the new remainder 220,and apply the division lemma to get
1055 = 220 x 4 + 175
We consider the new divisor 220 and the new remainder 175,and apply the division lemma to get
220 = 175 x 1 + 45
We consider the new divisor 175 and the new remainder 45,and apply the division lemma to get
175 = 45 x 3 + 40
We consider the new divisor 45 and the new remainder 40,and apply the division lemma to get
45 = 40 x 1 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5935 and 3605 is 5
Notice that 5 = HCF(40,5) = HCF(45,40) = HCF(175,45) = HCF(220,175) = HCF(1055,220) = HCF(1275,1055) = HCF(2330,1275) = HCF(3605,2330) = HCF(5935,3605) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5935, 3605 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 5935, 3605?
Answer: HCF of 5935, 3605 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5935, 3605 using Euclid's Algorithm?
Answer: For arbitrary numbers 5935, 3605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
