Highest Common Factor of 5106, 3359 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 5106, 3359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5106, 3359 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 5106, 3359 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 5106, 3359 is 1.
HCF(5106, 3359) = 1
HCF of 5106, 3359 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5106, 3359 is 1.
Highest Common Factor of 5106,3359 is 1
Step 1: Since 5106 > 3359, we apply the division lemma to 5106 and 3359, to get
5106 = 3359 x 1 + 1747
Step 2: Since the reminder 3359 ≠ 0, we apply division lemma to 1747 and 3359, to get
3359 = 1747 x 1 + 1612
Step 3: We consider the new divisor 1747 and the new remainder 1612, and apply the division lemma to get
1747 = 1612 x 1 + 135
We consider the new divisor 1612 and the new remainder 135,and apply the division lemma to get
1612 = 135 x 11 + 127
We consider the new divisor 135 and the new remainder 127,and apply the division lemma to get
135 = 127 x 1 + 8
We consider the new divisor 127 and the new remainder 8,and apply the division lemma to get
127 = 8 x 15 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5106 and 3359 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(127,8) = HCF(135,127) = HCF(1612,135) = HCF(1747,1612) = HCF(3359,1747) = HCF(5106,3359) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5106, 3359 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 5106, 3359?
Answer: HCF of 5106, 3359 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5106, 3359 using Euclid's Algorithm?
Answer: For arbitrary numbers 5106, 3359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.