Highest Common Factor of 839, 329, 242 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 839, 329, 242 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 329, 242 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 839, 329, 242 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 839, 329, 242 is 1.
HCF(839, 329, 242) = 1
HCF of 839, 329, 242 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 329, 242 is 1.
Highest Common Factor of 839,329,242 is 1
Step 1: Since 839 > 329, we apply the division lemma to 839 and 329, to get
839 = 329 x 2 + 181
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 181 and 329, to get
329 = 181 x 1 + 148
Step 3: We consider the new divisor 181 and the new remainder 148, and apply the division lemma to get
181 = 148 x 1 + 33
We consider the new divisor 148 and the new remainder 33,and apply the division lemma to get
148 = 33 x 4 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 329 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(148,33) = HCF(181,148) = HCF(329,181) = HCF(839,329) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 242 > 1, we apply the division lemma to 242 and 1, to get
242 = 1 x 242 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 242 is 1
Notice that 1 = HCF(242,1) .
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Frequently Asked Questions on HCF of 839, 329, 242 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 839, 329, 242?
Answer: HCF of 839, 329, 242 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 329, 242 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 329, 242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.