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 4257, 8405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4257, 8405 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 4257, 8405 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 4257, 8405 is 1.
HCF(4257, 8405) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4257, 8405 is 1.
Step 1: Since 8405 > 4257, we apply the division lemma to 8405 and 4257, to get
8405 = 4257 x 1 + 4148
Step 2: Since the reminder 4257 ≠ 0, we apply division lemma to 4148 and 4257, to get
4257 = 4148 x 1 + 109
Step 3: We consider the new divisor 4148 and the new remainder 109, and apply the division lemma to get
4148 = 109 x 38 + 6
We consider the new divisor 109 and the new remainder 6,and apply the division lemma to get
109 = 6 x 18 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4257 and 8405 is 1
Notice that 1 = HCF(6,1) = HCF(109,6) = HCF(4148,109) = HCF(4257,4148) = HCF(8405,4257) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4257, 8405?
Answer: HCF of 4257, 8405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4257, 8405 using Euclid's Algorithm?
Answer: For arbitrary numbers 4257, 8405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.