Highest Common Factor of 8314, 5062 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 8314, 5062 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8314, 5062 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 8314, 5062 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 8314, 5062 is 2.
HCF(8314, 5062) = 2
HCF of 8314, 5062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8314, 5062 is 2.
Highest Common Factor of 8314,5062 is 2
Step 1: Since 8314 > 5062, we apply the division lemma to 8314 and 5062, to get
8314 = 5062 x 1 + 3252
Step 2: Since the reminder 5062 ≠ 0, we apply division lemma to 3252 and 5062, to get
5062 = 3252 x 1 + 1810
Step 3: We consider the new divisor 3252 and the new remainder 1810, and apply the division lemma to get
3252 = 1810 x 1 + 1442
We consider the new divisor 1810 and the new remainder 1442,and apply the division lemma to get
1810 = 1442 x 1 + 368
We consider the new divisor 1442 and the new remainder 368,and apply the division lemma to get
1442 = 368 x 3 + 338
We consider the new divisor 368 and the new remainder 338,and apply the division lemma to get
368 = 338 x 1 + 30
We consider the new divisor 338 and the new remainder 30,and apply the division lemma to get
338 = 30 x 11 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8314 and 5062 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(338,30) = HCF(368,338) = HCF(1442,368) = HCF(1810,1442) = HCF(3252,1810) = HCF(5062,3252) = HCF(8314,5062) .
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Frequently Asked Questions on HCF of 8314, 5062 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 8314, 5062?
Answer: HCF of 8314, 5062 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8314, 5062 using Euclid's Algorithm?
Answer: For arbitrary numbers 8314, 5062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.