Highest Common Factor of 3795, 3650, 83990 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 3795, 3650, 83990 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3795, 3650, 83990 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 3795, 3650, 83990 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 3795, 3650, 83990 is 5.
HCF(3795, 3650, 83990) = 5
HCF of 3795, 3650, 83990 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3795, 3650, 83990 is 5.
Highest Common Factor of 3795,3650,83990 is 5
Step 1: Since 3795 > 3650, we apply the division lemma to 3795 and 3650, to get
3795 = 3650 x 1 + 145
Step 2: Since the reminder 3650 ≠ 0, we apply division lemma to 145 and 3650, to get
3650 = 145 x 25 + 25
Step 3: We consider the new divisor 145 and the new remainder 25, and apply the division lemma to get
145 = 25 x 5 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3795 and 3650 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(145,25) = HCF(3650,145) = HCF(3795,3650) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83990 > 5, we apply the division lemma to 83990 and 5, to get
83990 = 5 x 16798 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 83990 is 5
Notice that 5 = HCF(83990,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3795, 3650, 83990 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 3795, 3650, 83990?
Answer: HCF of 3795, 3650, 83990 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3795, 3650, 83990 using Euclid's Algorithm?
Answer: For arbitrary numbers 3795, 3650, 83990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.