Highest Common Factor of 4126, 8432 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 4126, 8432 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4126, 8432 is 2 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 4126, 8432 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 4126, 8432 is 2.
HCF(4126, 8432) = 2
HCF of 4126, 8432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4126, 8432 is 2.
Highest Common Factor of 4126,8432 is 2
Step 1: Since 8432 > 4126, we apply the division lemma to 8432 and 4126, to get
8432 = 4126 x 2 + 180
Step 2: Since the reminder 4126 ≠ 0, we apply division lemma to 180 and 4126, to get
4126 = 180 x 22 + 166
Step 3: We consider the new divisor 180 and the new remainder 166, and apply the division lemma to get
180 = 166 x 1 + 14
We consider the new divisor 166 and the new remainder 14,and apply the division lemma to get
166 = 14 x 11 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4126 and 8432 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(166,14) = HCF(180,166) = HCF(4126,180) = HCF(8432,4126) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4126, 8432 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 4126, 8432?
Answer: HCF of 4126, 8432 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4126, 8432 using Euclid's Algorithm?
Answer: For arbitrary numbers 4126, 8432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.