Highest Common Factor of 9380, 5146 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 9380, 5146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9380, 5146 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 9380, 5146 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 9380, 5146 is 2.
HCF(9380, 5146) = 2
HCF of 9380, 5146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9380, 5146 is 2.
Highest Common Factor of 9380,5146 is 2
Step 1: Since 9380 > 5146, we apply the division lemma to 9380 and 5146, to get
9380 = 5146 x 1 + 4234
Step 2: Since the reminder 5146 ≠ 0, we apply division lemma to 4234 and 5146, to get
5146 = 4234 x 1 + 912
Step 3: We consider the new divisor 4234 and the new remainder 912, and apply the division lemma to get
4234 = 912 x 4 + 586
We consider the new divisor 912 and the new remainder 586,and apply the division lemma to get
912 = 586 x 1 + 326
We consider the new divisor 586 and the new remainder 326,and apply the division lemma to get
586 = 326 x 1 + 260
We consider the new divisor 326 and the new remainder 260,and apply the division lemma to get
326 = 260 x 1 + 66
We consider the new divisor 260 and the new remainder 66,and apply the division lemma to get
260 = 66 x 3 + 62
We consider the new divisor 66 and the new remainder 62,and apply the division lemma to get
66 = 62 x 1 + 4
We consider the new divisor 62 and the new remainder 4,and apply the division lemma to get
62 = 4 x 15 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9380 and 5146 is 2
Notice that 2 = HCF(4,2) = HCF(62,4) = HCF(66,62) = HCF(260,66) = HCF(326,260) = HCF(586,326) = HCF(912,586) = HCF(4234,912) = HCF(5146,4234) = HCF(9380,5146) .
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Frequently Asked Questions on HCF of 9380, 5146 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 9380, 5146?
Answer: HCF of 9380, 5146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9380, 5146 using Euclid's Algorithm?
Answer: For arbitrary numbers 9380, 5146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.