Highest Common Factor of 845, 4738 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 845, 4738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 4738 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 845, 4738 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 845, 4738 is 1.
HCF(845, 4738) = 1
HCF of 845, 4738 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 4738 is 1.
Highest Common Factor of 845,4738 is 1
Step 1: Since 4738 > 845, we apply the division lemma to 4738 and 845, to get
4738 = 845 x 5 + 513
Step 2: Since the reminder 845 ≠ 0, we apply division lemma to 513 and 845, to get
845 = 513 x 1 + 332
Step 3: We consider the new divisor 513 and the new remainder 332, and apply the division lemma to get
513 = 332 x 1 + 181
We consider the new divisor 332 and the new remainder 181,and apply the division lemma to get
332 = 181 x 1 + 151
We consider the new divisor 181 and the new remainder 151,and apply the division lemma to get
181 = 151 x 1 + 30
We consider the new divisor 151 and the new remainder 30,and apply the division lemma to get
151 = 30 x 5 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 845 and 4738 is 1
Notice that 1 = HCF(30,1) = HCF(151,30) = HCF(181,151) = HCF(332,181) = HCF(513,332) = HCF(845,513) = HCF(4738,845) .
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Frequently Asked Questions on HCF of 845, 4738 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 845, 4738?
Answer: HCF of 845, 4738 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 4738 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 4738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.