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 3423, 8854 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3423, 8854 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 3423, 8854 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 3423, 8854 is 1.
HCF(3423, 8854) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3423, 8854 is 1.
Step 1: Since 8854 > 3423, we apply the division lemma to 8854 and 3423, to get
8854 = 3423 x 2 + 2008
Step 2: Since the reminder 3423 ≠ 0, we apply division lemma to 2008 and 3423, to get
3423 = 2008 x 1 + 1415
Step 3: We consider the new divisor 2008 and the new remainder 1415, and apply the division lemma to get
2008 = 1415 x 1 + 593
We consider the new divisor 1415 and the new remainder 593,and apply the division lemma to get
1415 = 593 x 2 + 229
We consider the new divisor 593 and the new remainder 229,and apply the division lemma to get
593 = 229 x 2 + 135
We consider the new divisor 229 and the new remainder 135,and apply the division lemma to get
229 = 135 x 1 + 94
We consider the new divisor 135 and the new remainder 94,and apply the division lemma to get
135 = 94 x 1 + 41
We consider the new divisor 94 and the new remainder 41,and apply the division lemma to get
94 = 41 x 2 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3423 and 8854 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(94,41) = HCF(135,94) = HCF(229,135) = HCF(593,229) = HCF(1415,593) = HCF(2008,1415) = HCF(3423,2008) = HCF(8854,3423) .
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 3423, 8854?
Answer: HCF of 3423, 8854 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3423, 8854 using Euclid's Algorithm?
Answer: For arbitrary numbers 3423, 8854 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.