Highest Common Factor of 899, 3343 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 899, 3343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 3343 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 899, 3343 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 899, 3343 is 1.
HCF(899, 3343) = 1
HCF of 899, 3343 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 3343 is 1.
Highest Common Factor of 899,3343 is 1
Step 1: Since 3343 > 899, we apply the division lemma to 3343 and 899, to get
3343 = 899 x 3 + 646
Step 2: Since the reminder 899 ≠ 0, we apply division lemma to 646 and 899, to get
899 = 646 x 1 + 253
Step 3: We consider the new divisor 646 and the new remainder 253, and apply the division lemma to get
646 = 253 x 2 + 140
We consider the new divisor 253 and the new remainder 140,and apply the division lemma to get
253 = 140 x 1 + 113
We consider the new divisor 140 and the new remainder 113,and apply the division lemma to get
140 = 113 x 1 + 27
We consider the new divisor 113 and the new remainder 27,and apply the division lemma to get
113 = 27 x 4 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 899 and 3343 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(113,27) = HCF(140,113) = HCF(253,140) = HCF(646,253) = HCF(899,646) = HCF(3343,899) .
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Frequently Asked Questions on HCF of 899, 3343 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 899, 3343?
Answer: HCF of 899, 3343 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 3343 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 3343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
