Highest Common Factor of 496, 349 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 496, 349 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 349 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 496, 349 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 496, 349 is 1.
HCF(496, 349) = 1
HCF of 496, 349 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 349 is 1.
Highest Common Factor of 496,349 is 1
Step 1: Since 496 > 349, we apply the division lemma to 496 and 349, to get
496 = 349 x 1 + 147
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 147 and 349, to get
349 = 147 x 2 + 55
Step 3: We consider the new divisor 147 and the new remainder 55, and apply the division lemma to get
147 = 55 x 2 + 37
We consider the new divisor 55 and the new remainder 37,and apply the division lemma to get
55 = 37 x 1 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 496 and 349 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(55,37) = HCF(147,55) = HCF(349,147) = HCF(496,349) .
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Frequently Asked Questions on HCF of 496, 349 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 496, 349?
Answer: HCF of 496, 349 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 349 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.