Highest Common Factor of 3213, 5116 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 3213, 5116 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3213, 5116 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 3213, 5116 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 3213, 5116 is 1.
HCF(3213, 5116) = 1
HCF of 3213, 5116 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3213, 5116 is 1.
Highest Common Factor of 3213,5116 is 1
Step 1: Since 5116 > 3213, we apply the division lemma to 5116 and 3213, to get
5116 = 3213 x 1 + 1903
Step 2: Since the reminder 3213 ≠ 0, we apply division lemma to 1903 and 3213, to get
3213 = 1903 x 1 + 1310
Step 3: We consider the new divisor 1903 and the new remainder 1310, and apply the division lemma to get
1903 = 1310 x 1 + 593
We consider the new divisor 1310 and the new remainder 593,and apply the division lemma to get
1310 = 593 x 2 + 124
We consider the new divisor 593 and the new remainder 124,and apply the division lemma to get
593 = 124 x 4 + 97
We consider the new divisor 124 and the new remainder 97,and apply the division lemma to get
124 = 97 x 1 + 27
We consider the new divisor 97 and the new remainder 27,and apply the division lemma to get
97 = 27 x 3 + 16
We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get
27 = 16 x 1 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3213 and 5116 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(97,27) = HCF(124,97) = HCF(593,124) = HCF(1310,593) = HCF(1903,1310) = HCF(3213,1903) = HCF(5116,3213) .
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Frequently Asked Questions on HCF of 3213, 5116 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 3213, 5116?
Answer: HCF of 3213, 5116 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3213, 5116 using Euclid's Algorithm?
Answer: For arbitrary numbers 3213, 5116 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
