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 8413, 8672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8413, 8672 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 8413, 8672 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 8413, 8672 is 1.
HCF(8413, 8672) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8413, 8672 is 1.
Step 1: Since 8672 > 8413, we apply the division lemma to 8672 and 8413, to get
8672 = 8413 x 1 + 259
Step 2: Since the reminder 8413 ≠ 0, we apply division lemma to 259 and 8413, to get
8413 = 259 x 32 + 125
Step 3: We consider the new divisor 259 and the new remainder 125, and apply the division lemma to get
259 = 125 x 2 + 9
We consider the new divisor 125 and the new remainder 9,and apply the division lemma to get
125 = 9 x 13 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8413 and 8672 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(125,9) = HCF(259,125) = HCF(8413,259) = HCF(8672,8413) .
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 8413, 8672?
Answer: HCF of 8413, 8672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8413, 8672 using Euclid's Algorithm?
Answer: For arbitrary numbers 8413, 8672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.