Highest Common Factor of 5116, 3947 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 5116, 3947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5116, 3947 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 5116, 3947 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 5116, 3947 is 1.
HCF(5116, 3947) = 1
HCF of 5116, 3947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5116, 3947 is 1.
Highest Common Factor of 5116,3947 is 1
Step 1: Since 5116 > 3947, we apply the division lemma to 5116 and 3947, to get
5116 = 3947 x 1 + 1169
Step 2: Since the reminder 3947 ≠ 0, we apply division lemma to 1169 and 3947, to get
3947 = 1169 x 3 + 440
Step 3: We consider the new divisor 1169 and the new remainder 440, and apply the division lemma to get
1169 = 440 x 2 + 289
We consider the new divisor 440 and the new remainder 289,and apply the division lemma to get
440 = 289 x 1 + 151
We consider the new divisor 289 and the new remainder 151,and apply the division lemma to get
289 = 151 x 1 + 138
We consider the new divisor 151 and the new remainder 138,and apply the division lemma to get
151 = 138 x 1 + 13
We consider the new divisor 138 and the new remainder 13,and apply the division lemma to get
138 = 13 x 10 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5116 and 3947 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(138,13) = HCF(151,138) = HCF(289,151) = HCF(440,289) = HCF(1169,440) = HCF(3947,1169) = HCF(5116,3947) .
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Frequently Asked Questions on HCF of 5116, 3947 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 5116, 3947?
Answer: HCF of 5116, 3947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5116, 3947 using Euclid's Algorithm?
Answer: For arbitrary numbers 5116, 3947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.