Highest Common Factor of 9092, 8101 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 9092, 8101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9092, 8101 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 9092, 8101 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 9092, 8101 is 1.
HCF(9092, 8101) = 1
HCF of 9092, 8101 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9092, 8101 is 1.
Highest Common Factor of 9092,8101 is 1
Step 1: Since 9092 > 8101, we apply the division lemma to 9092 and 8101, to get
9092 = 8101 x 1 + 991
Step 2: Since the reminder 8101 ≠ 0, we apply division lemma to 991 and 8101, to get
8101 = 991 x 8 + 173
Step 3: We consider the new divisor 991 and the new remainder 173, and apply the division lemma to get
991 = 173 x 5 + 126
We consider the new divisor 173 and the new remainder 126,and apply the division lemma to get
173 = 126 x 1 + 47
We consider the new divisor 126 and the new remainder 47,and apply the division lemma to get
126 = 47 x 2 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 9092 and 8101 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(126,47) = HCF(173,126) = HCF(991,173) = HCF(8101,991) = HCF(9092,8101) .
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Frequently Asked Questions on HCF of 9092, 8101 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 9092, 8101?
Answer: HCF of 9092, 8101 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9092, 8101 using Euclid's Algorithm?
Answer: For arbitrary numbers 9092, 8101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.