Highest Common Factor of 9400, 4983 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 9400, 4983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9400, 4983 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 9400, 4983 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 9400, 4983 is 1.
HCF(9400, 4983) = 1
HCF of 9400, 4983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9400, 4983 is 1.
Highest Common Factor of 9400,4983 is 1
Step 1: Since 9400 > 4983, we apply the division lemma to 9400 and 4983, to get
9400 = 4983 x 1 + 4417
Step 2: Since the reminder 4983 ≠ 0, we apply division lemma to 4417 and 4983, to get
4983 = 4417 x 1 + 566
Step 3: We consider the new divisor 4417 and the new remainder 566, and apply the division lemma to get
4417 = 566 x 7 + 455
We consider the new divisor 566 and the new remainder 455,and apply the division lemma to get
566 = 455 x 1 + 111
We consider the new divisor 455 and the new remainder 111,and apply the division lemma to get
455 = 111 x 4 + 11
We consider the new divisor 111 and the new remainder 11,and apply the division lemma to get
111 = 11 x 10 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9400 and 4983 is 1
Notice that 1 = HCF(11,1) = HCF(111,11) = HCF(455,111) = HCF(566,455) = HCF(4417,566) = HCF(4983,4417) = HCF(9400,4983) .
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Frequently Asked Questions on HCF of 9400, 4983 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 9400, 4983?
Answer: HCF of 9400, 4983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9400, 4983 using Euclid's Algorithm?
Answer: For arbitrary numbers 9400, 4983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.