Highest Common Factor of 410, 641, 852 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 410, 641, 852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 410, 641, 852 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 410, 641, 852 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 410, 641, 852 is 1.
HCF(410, 641, 852) = 1
HCF of 410, 641, 852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 410, 641, 852 is 1.
Highest Common Factor of 410,641,852 is 1
Step 1: Since 641 > 410, we apply the division lemma to 641 and 410, to get
641 = 410 x 1 + 231
Step 2: Since the reminder 410 ≠ 0, we apply division lemma to 231 and 410, to get
410 = 231 x 1 + 179
Step 3: We consider the new divisor 231 and the new remainder 179, and apply the division lemma to get
231 = 179 x 1 + 52
We consider the new divisor 179 and the new remainder 52,and apply the division lemma to get
179 = 52 x 3 + 23
We consider the new divisor 52 and the new remainder 23,and apply the division lemma to get
52 = 23 x 2 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 410 and 641 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(52,23) = HCF(179,52) = HCF(231,179) = HCF(410,231) = HCF(641,410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 852 > 1, we apply the division lemma to 852 and 1, to get
852 = 1 x 852 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 852 is 1
Notice that 1 = HCF(852,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 410, 641, 852 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 410, 641, 852?
Answer: HCF of 410, 641, 852 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 410, 641, 852 using Euclid's Algorithm?
Answer: For arbitrary numbers 410, 641, 852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.