Highest Common Factor of 9864, 4313 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 9864, 4313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9864, 4313 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 9864, 4313 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 9864, 4313 is 1.
HCF(9864, 4313) = 1
HCF of 9864, 4313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9864, 4313 is 1.
Highest Common Factor of 9864,4313 is 1
Step 1: Since 9864 > 4313, we apply the division lemma to 9864 and 4313, to get
9864 = 4313 x 2 + 1238
Step 2: Since the reminder 4313 ≠ 0, we apply division lemma to 1238 and 4313, to get
4313 = 1238 x 3 + 599
Step 3: We consider the new divisor 1238 and the new remainder 599, and apply the division lemma to get
1238 = 599 x 2 + 40
We consider the new divisor 599 and the new remainder 40,and apply the division lemma to get
599 = 40 x 14 + 39
We consider the new divisor 40 and the new remainder 39,and apply the division lemma to get
40 = 39 x 1 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9864 and 4313 is 1
Notice that 1 = HCF(39,1) = HCF(40,39) = HCF(599,40) = HCF(1238,599) = HCF(4313,1238) = HCF(9864,4313) .
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Frequently Asked Questions on HCF of 9864, 4313 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 9864, 4313?
Answer: HCF of 9864, 4313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9864, 4313 using Euclid's Algorithm?
Answer: For arbitrary numbers 9864, 4313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.