Highest Common Factor of 4034, 7192, 18444 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 4034, 7192, 18444 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4034, 7192, 18444 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 4034, 7192, 18444 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 4034, 7192, 18444 is 2.
HCF(4034, 7192, 18444) = 2
HCF of 4034, 7192, 18444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4034, 7192, 18444 is 2.
Highest Common Factor of 4034,7192,18444 is 2
Step 1: Since 7192 > 4034, we apply the division lemma to 7192 and 4034, to get
7192 = 4034 x 1 + 3158
Step 2: Since the reminder 4034 ≠ 0, we apply division lemma to 3158 and 4034, to get
4034 = 3158 x 1 + 876
Step 3: We consider the new divisor 3158 and the new remainder 876, and apply the division lemma to get
3158 = 876 x 3 + 530
We consider the new divisor 876 and the new remainder 530,and apply the division lemma to get
876 = 530 x 1 + 346
We consider the new divisor 530 and the new remainder 346,and apply the division lemma to get
530 = 346 x 1 + 184
We consider the new divisor 346 and the new remainder 184,and apply the division lemma to get
346 = 184 x 1 + 162
We consider the new divisor 184 and the new remainder 162,and apply the division lemma to get
184 = 162 x 1 + 22
We consider the new divisor 162 and the new remainder 22,and apply the division lemma to get
162 = 22 x 7 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4034 and 7192 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(162,22) = HCF(184,162) = HCF(346,184) = HCF(530,346) = HCF(876,530) = HCF(3158,876) = HCF(4034,3158) = HCF(7192,4034) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18444 > 2, we apply the division lemma to 18444 and 2, to get
18444 = 2 x 9222 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 18444 is 2
Notice that 2 = HCF(18444,2) .
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Frequently Asked Questions on HCF of 4034, 7192, 18444 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 4034, 7192, 18444?
Answer: HCF of 4034, 7192, 18444 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4034, 7192, 18444 using Euclid's Algorithm?
Answer: For arbitrary numbers 4034, 7192, 18444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.