Highest Common Factor of 432, 4132 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 432, 4132 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 432, 4132 is 4 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 432, 4132 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 432, 4132 is 4.
HCF(432, 4132) = 4
HCF of 432, 4132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 432, 4132 is 4.
Highest Common Factor of 432,4132 is 4
Step 1: Since 4132 > 432, we apply the division lemma to 4132 and 432, to get
4132 = 432 x 9 + 244
Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 244 and 432, to get
432 = 244 x 1 + 188
Step 3: We consider the new divisor 244 and the new remainder 188, and apply the division lemma to get
244 = 188 x 1 + 56
We consider the new divisor 188 and the new remainder 56,and apply the division lemma to get
188 = 56 x 3 + 20
We consider the new divisor 56 and the new remainder 20,and apply the division lemma to get
56 = 20 x 2 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 432 and 4132 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(56,20) = HCF(188,56) = HCF(244,188) = HCF(432,244) = HCF(4132,432) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 432, 4132 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 432, 4132?
Answer: HCF of 432, 4132 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 432, 4132 using Euclid's Algorithm?
Answer: For arbitrary numbers 432, 4132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.