Highest Common Factor of 2468, 8314 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 2468, 8314 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2468, 8314 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 2468, 8314 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 2468, 8314 is 2.
HCF(2468, 8314) = 2
HCF of 2468, 8314 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2468, 8314 is 2.
Highest Common Factor of 2468,8314 is 2
Step 1: Since 8314 > 2468, we apply the division lemma to 8314 and 2468, to get
8314 = 2468 x 3 + 910
Step 2: Since the reminder 2468 ≠ 0, we apply division lemma to 910 and 2468, to get
2468 = 910 x 2 + 648
Step 3: We consider the new divisor 910 and the new remainder 648, and apply the division lemma to get
910 = 648 x 1 + 262
We consider the new divisor 648 and the new remainder 262,and apply the division lemma to get
648 = 262 x 2 + 124
We consider the new divisor 262 and the new remainder 124,and apply the division lemma to get
262 = 124 x 2 + 14
We consider the new divisor 124 and the new remainder 14,and apply the division lemma to get
124 = 14 x 8 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2468 and 8314 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(124,14) = HCF(262,124) = HCF(648,262) = HCF(910,648) = HCF(2468,910) = HCF(8314,2468) .
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Frequently Asked Questions on HCF of 2468, 8314 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 2468, 8314?
Answer: HCF of 2468, 8314 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2468, 8314 using Euclid's Algorithm?
Answer: For arbitrary numbers 2468, 8314 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.