Highest Common Factor of 1672, 6423 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 1672, 6423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1672, 6423 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 1672, 6423 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 1672, 6423 is 1.
HCF(1672, 6423) = 1
HCF of 1672, 6423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1672, 6423 is 1.
Highest Common Factor of 1672,6423 is 1
Step 1: Since 6423 > 1672, we apply the division lemma to 6423 and 1672, to get
6423 = 1672 x 3 + 1407
Step 2: Since the reminder 1672 ≠ 0, we apply division lemma to 1407 and 1672, to get
1672 = 1407 x 1 + 265
Step 3: We consider the new divisor 1407 and the new remainder 265, and apply the division lemma to get
1407 = 265 x 5 + 82
We consider the new divisor 265 and the new remainder 82,and apply the division lemma to get
265 = 82 x 3 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1672 and 6423 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(265,82) = HCF(1407,265) = HCF(1672,1407) = HCF(6423,1672) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1672, 6423 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 1672, 6423?
Answer: HCF of 1672, 6423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1672, 6423 using Euclid's Algorithm?
Answer: For arbitrary numbers 1672, 6423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.