Highest Common Factor of 5209, 3882 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 5209, 3882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5209, 3882 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 5209, 3882 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 5209, 3882 is 1.
HCF(5209, 3882) = 1
HCF of 5209, 3882 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5209, 3882 is 1.
Highest Common Factor of 5209,3882 is 1
Step 1: Since 5209 > 3882, we apply the division lemma to 5209 and 3882, to get
5209 = 3882 x 1 + 1327
Step 2: Since the reminder 3882 ≠ 0, we apply division lemma to 1327 and 3882, to get
3882 = 1327 x 2 + 1228
Step 3: We consider the new divisor 1327 and the new remainder 1228, and apply the division lemma to get
1327 = 1228 x 1 + 99
We consider the new divisor 1228 and the new remainder 99,and apply the division lemma to get
1228 = 99 x 12 + 40
We consider the new divisor 99 and the new remainder 40,and apply the division lemma to get
99 = 40 x 2 + 19
We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get
40 = 19 x 2 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5209 and 3882 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(99,40) = HCF(1228,99) = HCF(1327,1228) = HCF(3882,1327) = HCF(5209,3882) .
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Frequently Asked Questions on HCF of 5209, 3882 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 5209, 3882?
Answer: HCF of 5209, 3882 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5209, 3882 using Euclid's Algorithm?
Answer: For arbitrary numbers 5209, 3882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.