Highest Common Factor of 349, 6812, 2290 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, 6812, 2290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 349, 6812, 2290 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, 6812, 2290 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, 6812, 2290 is 1.
HCF(349, 6812, 2290) = 1
HCF of 349, 6812, 2290 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, 6812, 2290 is 1.
Highest Common Factor of 349,6812,2290 is 1
Step 1: Since 6812 > 349, we apply the division lemma to 6812 and 349, to get
6812 = 349 x 19 + 181
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 181 and 349, to get
349 = 181 x 1 + 168
Step 3: We consider the new divisor 181 and the new remainder 168, and apply the division lemma to get
181 = 168 x 1 + 13
We consider the new divisor 168 and the new remainder 13,and apply the division lemma to get
168 = 13 x 12 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 349 and 6812 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(168,13) = HCF(181,168) = HCF(349,181) = HCF(6812,349) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2290 > 1, we apply the division lemma to 2290 and 1, to get
2290 = 1 x 2290 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2290 is 1
Notice that 1 = HCF(2290,1) .
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Frequently Asked Questions on HCF of 349, 6812, 2290 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, 6812, 2290?
Answer: HCF of 349, 6812, 2290 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 349, 6812, 2290 using Euclid's Algorithm?
Answer: For arbitrary numbers 349, 6812, 2290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.