Highest Common Factor of 1232, 4223 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 1232, 4223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1232, 4223 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 1232, 4223 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 1232, 4223 is 1.
HCF(1232, 4223) = 1
HCF of 1232, 4223 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1232, 4223 is 1.
Highest Common Factor of 1232,4223 is 1
Step 1: Since 4223 > 1232, we apply the division lemma to 4223 and 1232, to get
4223 = 1232 x 3 + 527
Step 2: Since the reminder 1232 ≠ 0, we apply division lemma to 527 and 1232, to get
1232 = 527 x 2 + 178
Step 3: We consider the new divisor 527 and the new remainder 178, and apply the division lemma to get
527 = 178 x 2 + 171
We consider the new divisor 178 and the new remainder 171,and apply the division lemma to get
178 = 171 x 1 + 7
We consider the new divisor 171 and the new remainder 7,and apply the division lemma to get
171 = 7 x 24 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1232 and 4223 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(171,7) = HCF(178,171) = HCF(527,178) = HCF(1232,527) = HCF(4223,1232) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1232, 4223 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 1232, 4223?
Answer: HCF of 1232, 4223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1232, 4223 using Euclid's Algorithm?
Answer: For arbitrary numbers 1232, 4223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.