Highest Common Factor of 4183, 9158 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 4183, 9158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4183, 9158 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 4183, 9158 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 4183, 9158 is 1.
HCF(4183, 9158) = 1
HCF of 4183, 9158 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4183, 9158 is 1.
Highest Common Factor of 4183,9158 is 1
Step 1: Since 9158 > 4183, we apply the division lemma to 9158 and 4183, to get
9158 = 4183 x 2 + 792
Step 2: Since the reminder 4183 ≠ 0, we apply division lemma to 792 and 4183, to get
4183 = 792 x 5 + 223
Step 3: We consider the new divisor 792 and the new remainder 223, and apply the division lemma to get
792 = 223 x 3 + 123
We consider the new divisor 223 and the new remainder 123,and apply the division lemma to get
223 = 123 x 1 + 100
We consider the new divisor 123 and the new remainder 100,and apply the division lemma to get
123 = 100 x 1 + 23
We consider the new divisor 100 and the new remainder 23,and apply the division lemma to get
100 = 23 x 4 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4183 and 9158 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(100,23) = HCF(123,100) = HCF(223,123) = HCF(792,223) = HCF(4183,792) = HCF(9158,4183) .
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Frequently Asked Questions on HCF of 4183, 9158 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 4183, 9158?
Answer: HCF of 4183, 9158 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4183, 9158 using Euclid's Algorithm?
Answer: For arbitrary numbers 4183, 9158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.