Highest Common Factor of 4845, 7234 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 4845, 7234 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4845, 7234 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 4845, 7234 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 4845, 7234 is 1.
HCF(4845, 7234) = 1
HCF of 4845, 7234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4845, 7234 is 1.
Highest Common Factor of 4845,7234 is 1
Step 1: Since 7234 > 4845, we apply the division lemma to 7234 and 4845, to get
7234 = 4845 x 1 + 2389
Step 2: Since the reminder 4845 ≠ 0, we apply division lemma to 2389 and 4845, to get
4845 = 2389 x 2 + 67
Step 3: We consider the new divisor 2389 and the new remainder 67, and apply the division lemma to get
2389 = 67 x 35 + 44
We consider the new divisor 67 and the new remainder 44,and apply the division lemma to get
67 = 44 x 1 + 23
We consider the new divisor 44 and the new remainder 23,and apply the division lemma to get
44 = 23 x 1 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 4845 and 7234 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(44,23) = HCF(67,44) = HCF(2389,67) = HCF(4845,2389) = HCF(7234,4845) .
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Frequently Asked Questions on HCF of 4845, 7234 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 4845, 7234?
Answer: HCF of 4845, 7234 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4845, 7234 using Euclid's Algorithm?
Answer: For arbitrary numbers 4845, 7234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
