Highest Common Factor of 9290, 5133 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 9290, 5133 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9290, 5133 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 9290, 5133 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 9290, 5133 is 1.
HCF(9290, 5133) = 1
HCF of 9290, 5133 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9290, 5133 is 1.
Highest Common Factor of 9290,5133 is 1
Step 1: Since 9290 > 5133, we apply the division lemma to 9290 and 5133, to get
9290 = 5133 x 1 + 4157
Step 2: Since the reminder 5133 ≠ 0, we apply division lemma to 4157 and 5133, to get
5133 = 4157 x 1 + 976
Step 3: We consider the new divisor 4157 and the new remainder 976, and apply the division lemma to get
4157 = 976 x 4 + 253
We consider the new divisor 976 and the new remainder 253,and apply the division lemma to get
976 = 253 x 3 + 217
We consider the new divisor 253 and the new remainder 217,and apply the division lemma to get
253 = 217 x 1 + 36
We consider the new divisor 217 and the new remainder 36,and apply the division lemma to get
217 = 36 x 6 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9290 and 5133 is 1
Notice that 1 = HCF(36,1) = HCF(217,36) = HCF(253,217) = HCF(976,253) = HCF(4157,976) = HCF(5133,4157) = HCF(9290,5133) .
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Frequently Asked Questions on HCF of 9290, 5133 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 9290, 5133?
Answer: HCF of 9290, 5133 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9290, 5133 using Euclid's Algorithm?
Answer: For arbitrary numbers 9290, 5133 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.