Highest Common Factor of 3333, 5118 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 3333, 5118 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3333, 5118 is 3 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 3333, 5118 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 3333, 5118 is 3.
HCF(3333, 5118) = 3
HCF of 3333, 5118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3333, 5118 is 3.
Highest Common Factor of 3333,5118 is 3
Step 1: Since 5118 > 3333, we apply the division lemma to 5118 and 3333, to get
5118 = 3333 x 1 + 1785
Step 2: Since the reminder 3333 ≠ 0, we apply division lemma to 1785 and 3333, to get
3333 = 1785 x 1 + 1548
Step 3: We consider the new divisor 1785 and the new remainder 1548, and apply the division lemma to get
1785 = 1548 x 1 + 237
We consider the new divisor 1548 and the new remainder 237,and apply the division lemma to get
1548 = 237 x 6 + 126
We consider the new divisor 237 and the new remainder 126,and apply the division lemma to get
237 = 126 x 1 + 111
We consider the new divisor 126 and the new remainder 111,and apply the division lemma to get
126 = 111 x 1 + 15
We consider the new divisor 111 and the new remainder 15,and apply the division lemma to get
111 = 15 x 7 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3333 and 5118 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(111,15) = HCF(126,111) = HCF(237,126) = HCF(1548,237) = HCF(1785,1548) = HCF(3333,1785) = HCF(5118,3333) .
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Frequently Asked Questions on HCF of 3333, 5118 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 3333, 5118?
Answer: HCF of 3333, 5118 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3333, 5118 using Euclid's Algorithm?
Answer: For arbitrary numbers 3333, 5118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
