Highest Common Factor of 344, 602, 833 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 344, 602, 833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 344, 602, 833 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 344, 602, 833 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 344, 602, 833 is 1.
HCF(344, 602, 833) = 1
HCF of 344, 602, 833 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 344, 602, 833 is 1.
Highest Common Factor of 344,602,833 is 1
Step 1: Since 602 > 344, we apply the division lemma to 602 and 344, to get
602 = 344 x 1 + 258
Step 2: Since the reminder 344 ≠ 0, we apply division lemma to 258 and 344, to get
344 = 258 x 1 + 86
Step 3: We consider the new divisor 258 and the new remainder 86, and apply the division lemma to get
258 = 86 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 86, the HCF of 344 and 602 is 86
Notice that 86 = HCF(258,86) = HCF(344,258) = HCF(602,344) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 833 > 86, we apply the division lemma to 833 and 86, to get
833 = 86 x 9 + 59
Step 2: Since the reminder 86 ≠ 0, we apply division lemma to 59 and 86, to get
86 = 59 x 1 + 27
Step 3: We consider the new divisor 59 and the new remainder 27, and apply the division lemma to get
59 = 27 x 2 + 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 86 and 833 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(59,27) = HCF(86,59) = HCF(833,86) .
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Frequently Asked Questions on HCF of 344, 602, 833 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 344, 602, 833?
Answer: HCF of 344, 602, 833 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 344, 602, 833 using Euclid's Algorithm?
Answer: For arbitrary numbers 344, 602, 833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.