Highest Common Factor of 9206, 5104 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 9206, 5104 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9206, 5104 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 9206, 5104 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 9206, 5104 is 2.
HCF(9206, 5104) = 2
HCF of 9206, 5104 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9206, 5104 is 2.
Highest Common Factor of 9206,5104 is 2
Step 1: Since 9206 > 5104, we apply the division lemma to 9206 and 5104, to get
9206 = 5104 x 1 + 4102
Step 2: Since the reminder 5104 ≠ 0, we apply division lemma to 4102 and 5104, to get
5104 = 4102 x 1 + 1002
Step 3: We consider the new divisor 4102 and the new remainder 1002, and apply the division lemma to get
4102 = 1002 x 4 + 94
We consider the new divisor 1002 and the new remainder 94,and apply the division lemma to get
1002 = 94 x 10 + 62
We consider the new divisor 94 and the new remainder 62,and apply the division lemma to get
94 = 62 x 1 + 32
We consider the new divisor 62 and the new remainder 32,and apply the division lemma to get
62 = 32 x 1 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9206 and 5104 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(62,32) = HCF(94,62) = HCF(1002,94) = HCF(4102,1002) = HCF(5104,4102) = HCF(9206,5104) .
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Frequently Asked Questions on HCF of 9206, 5104 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 9206, 5104?
Answer: HCF of 9206, 5104 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9206, 5104 using Euclid's Algorithm?
Answer: For arbitrary numbers 9206, 5104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.