Highest Common Factor of 9303, 5918 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 9303, 5918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9303, 5918 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 9303, 5918 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 9303, 5918 is 1.
HCF(9303, 5918) = 1
HCF of 9303, 5918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9303, 5918 is 1.
Highest Common Factor of 9303,5918 is 1
Step 1: Since 9303 > 5918, we apply the division lemma to 9303 and 5918, to get
9303 = 5918 x 1 + 3385
Step 2: Since the reminder 5918 ≠ 0, we apply division lemma to 3385 and 5918, to get
5918 = 3385 x 1 + 2533
Step 3: We consider the new divisor 3385 and the new remainder 2533, and apply the division lemma to get
3385 = 2533 x 1 + 852
We consider the new divisor 2533 and the new remainder 852,and apply the division lemma to get
2533 = 852 x 2 + 829
We consider the new divisor 852 and the new remainder 829,and apply the division lemma to get
852 = 829 x 1 + 23
We consider the new divisor 829 and the new remainder 23,and apply the division lemma to get
829 = 23 x 36 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9303 and 5918 is 1
Notice that 1 = HCF(23,1) = HCF(829,23) = HCF(852,829) = HCF(2533,852) = HCF(3385,2533) = HCF(5918,3385) = HCF(9303,5918) .
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Frequently Asked Questions on HCF of 9303, 5918 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 9303, 5918?
Answer: HCF of 9303, 5918 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9303, 5918 using Euclid's Algorithm?
Answer: For arbitrary numbers 9303, 5918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.