Highest Common Factor of 8463, 2387 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 8463, 2387 i.e. 217 the largest integer that leaves a remainder zero for all numbers.
HCF of 8463, 2387 is 217 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 8463, 2387 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 8463, 2387 is 217.
HCF(8463, 2387) = 217
HCF of 8463, 2387 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8463, 2387 is 217.
Highest Common Factor of 8463,2387 is 217
Step 1: Since 8463 > 2387, we apply the division lemma to 8463 and 2387, to get
8463 = 2387 x 3 + 1302
Step 2: Since the reminder 2387 ≠ 0, we apply division lemma to 1302 and 2387, to get
2387 = 1302 x 1 + 1085
Step 3: We consider the new divisor 1302 and the new remainder 1085, and apply the division lemma to get
1302 = 1085 x 1 + 217
We consider the new divisor 1085 and the new remainder 217, and apply the division lemma to get
1085 = 217 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 217, the HCF of 8463 and 2387 is 217
Notice that 217 = HCF(1085,217) = HCF(1302,1085) = HCF(2387,1302) = HCF(8463,2387) .
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Frequently Asked Questions on HCF of 8463, 2387 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 8463, 2387?
Answer: HCF of 8463, 2387 is 217 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8463, 2387 using Euclid's Algorithm?
Answer: For arbitrary numbers 8463, 2387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.