Highest Common Factor of 349, 5777 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 349, 5777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 349, 5777 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 349, 5777 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 349, 5777 is 1.
HCF(349, 5777) = 1
HCF of 349, 5777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 349, 5777 is 1.
Highest Common Factor of 349,5777 is 1
Step 1: Since 5777 > 349, we apply the division lemma to 5777 and 349, to get
5777 = 349 x 16 + 193
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 193 and 349, to get
349 = 193 x 1 + 156
Step 3: We consider the new divisor 193 and the new remainder 156, and apply the division lemma to get
193 = 156 x 1 + 37
We consider the new divisor 156 and the new remainder 37,and apply the division lemma to get
156 = 37 x 4 + 8
We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get
37 = 8 x 4 + 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 349 and 5777 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(156,37) = HCF(193,156) = HCF(349,193) = HCF(5777,349) .
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Frequently Asked Questions on HCF of 349, 5777 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 349, 5777?
Answer: HCF of 349, 5777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 349, 5777 using Euclid's Algorithm?
Answer: For arbitrary numbers 349, 5777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
