Highest Common Factor of 8210, 2395, 52939 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 8210, 2395, 52939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8210, 2395, 52939 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 8210, 2395, 52939 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 8210, 2395, 52939 is 1.
HCF(8210, 2395, 52939) = 1
HCF of 8210, 2395, 52939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8210, 2395, 52939 is 1.
Highest Common Factor of 8210,2395,52939 is 1
Step 1: Since 8210 > 2395, we apply the division lemma to 8210 and 2395, to get
8210 = 2395 x 3 + 1025
Step 2: Since the reminder 2395 ≠ 0, we apply division lemma to 1025 and 2395, to get
2395 = 1025 x 2 + 345
Step 3: We consider the new divisor 1025 and the new remainder 345, and apply the division lemma to get
1025 = 345 x 2 + 335
We consider the new divisor 345 and the new remainder 335,and apply the division lemma to get
345 = 335 x 1 + 10
We consider the new divisor 335 and the new remainder 10,and apply the division lemma to get
335 = 10 x 33 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8210 and 2395 is 5
Notice that 5 = HCF(10,5) = HCF(335,10) = HCF(345,335) = HCF(1025,345) = HCF(2395,1025) = HCF(8210,2395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52939 > 5, we apply the division lemma to 52939 and 5, to get
52939 = 5 x 10587 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 52939 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(52939,5) .
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Frequently Asked Questions on HCF of 8210, 2395, 52939 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 8210, 2395, 52939?
Answer: HCF of 8210, 2395, 52939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8210, 2395, 52939 using Euclid's Algorithm?
Answer: For arbitrary numbers 8210, 2395, 52939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
