Highest Common Factor of 3278, 9423 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 3278, 9423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3278, 9423 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 3278, 9423 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 3278, 9423 is 1.
HCF(3278, 9423) = 1
HCF of 3278, 9423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3278, 9423 is 1.
Highest Common Factor of 3278,9423 is 1
Step 1: Since 9423 > 3278, we apply the division lemma to 9423 and 3278, to get
9423 = 3278 x 2 + 2867
Step 2: Since the reminder 3278 ≠ 0, we apply division lemma to 2867 and 3278, to get
3278 = 2867 x 1 + 411
Step 3: We consider the new divisor 2867 and the new remainder 411, and apply the division lemma to get
2867 = 411 x 6 + 401
We consider the new divisor 411 and the new remainder 401,and apply the division lemma to get
411 = 401 x 1 + 10
We consider the new divisor 401 and the new remainder 10,and apply the division lemma to get
401 = 10 x 40 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3278 and 9423 is 1
Notice that 1 = HCF(10,1) = HCF(401,10) = HCF(411,401) = HCF(2867,411) = HCF(3278,2867) = HCF(9423,3278) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3278, 9423 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 3278, 9423?
Answer: HCF of 3278, 9423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3278, 9423 using Euclid's Algorithm?
Answer: For arbitrary numbers 3278, 9423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
