Highest Common Factor of 243, 4174 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 243, 4174 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 243, 4174 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 243, 4174 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 243, 4174 is 1.
HCF(243, 4174) = 1
HCF of 243, 4174 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 243, 4174 is 1.
Highest Common Factor of 243,4174 is 1
Step 1: Since 4174 > 243, we apply the division lemma to 4174 and 243, to get
4174 = 243 x 17 + 43
Step 2: Since the reminder 243 ≠ 0, we apply division lemma to 43 and 243, to get
243 = 43 x 5 + 28
Step 3: We consider the new divisor 43 and the new remainder 28, and apply the division lemma to get
43 = 28 x 1 + 15
We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get
28 = 15 x 1 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 243 and 4174 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(43,28) = HCF(243,43) = HCF(4174,243) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 243, 4174 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 243, 4174?
Answer: HCF of 243, 4174 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 243, 4174 using Euclid's Algorithm?
Answer: For arbitrary numbers 243, 4174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.