Highest Common Factor of 8481, 3234 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 8481, 3234 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 8481, 3234 is 33 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 8481, 3234 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 8481, 3234 is 33.
HCF(8481, 3234) = 33
HCF of 8481, 3234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8481, 3234 is 33.
Highest Common Factor of 8481,3234 is 33
Step 1: Since 8481 > 3234, we apply the division lemma to 8481 and 3234, to get
8481 = 3234 x 2 + 2013
Step 2: Since the reminder 3234 ≠ 0, we apply division lemma to 2013 and 3234, to get
3234 = 2013 x 1 + 1221
Step 3: We consider the new divisor 2013 and the new remainder 1221, and apply the division lemma to get
2013 = 1221 x 1 + 792
We consider the new divisor 1221 and the new remainder 792,and apply the division lemma to get
1221 = 792 x 1 + 429
We consider the new divisor 792 and the new remainder 429,and apply the division lemma to get
792 = 429 x 1 + 363
We consider the new divisor 429 and the new remainder 363,and apply the division lemma to get
429 = 363 x 1 + 66
We consider the new divisor 363 and the new remainder 66,and apply the division lemma to get
363 = 66 x 5 + 33
We consider the new divisor 66 and the new remainder 33,and apply the division lemma to get
66 = 33 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 8481 and 3234 is 33
Notice that 33 = HCF(66,33) = HCF(363,66) = HCF(429,363) = HCF(792,429) = HCF(1221,792) = HCF(2013,1221) = HCF(3234,2013) = HCF(8481,3234) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8481, 3234 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 8481, 3234?
Answer: HCF of 8481, 3234 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8481, 3234 using Euclid's Algorithm?
Answer: For arbitrary numbers 8481, 3234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.