Highest Common Factor of 8235, 9901 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 8235, 9901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8235, 9901 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 8235, 9901 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 8235, 9901 is 1.
HCF(8235, 9901) = 1
HCF of 8235, 9901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8235, 9901 is 1.
Highest Common Factor of 8235,9901 is 1
Step 1: Since 9901 > 8235, we apply the division lemma to 9901 and 8235, to get
9901 = 8235 x 1 + 1666
Step 2: Since the reminder 8235 ≠ 0, we apply division lemma to 1666 and 8235, to get
8235 = 1666 x 4 + 1571
Step 3: We consider the new divisor 1666 and the new remainder 1571, and apply the division lemma to get
1666 = 1571 x 1 + 95
We consider the new divisor 1571 and the new remainder 95,and apply the division lemma to get
1571 = 95 x 16 + 51
We consider the new divisor 95 and the new remainder 51,and apply the division lemma to get
95 = 51 x 1 + 44
We consider the new divisor 51 and the new remainder 44,and apply the division lemma to get
51 = 44 x 1 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 8235 and 9901 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(51,44) = HCF(95,51) = HCF(1571,95) = HCF(1666,1571) = HCF(8235,1666) = HCF(9901,8235) .
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Frequently Asked Questions on HCF of 8235, 9901 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 8235, 9901?
Answer: HCF of 8235, 9901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8235, 9901 using Euclid's Algorithm?
Answer: For arbitrary numbers 8235, 9901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.