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 341, 543, 104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 341, 543, 104 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 341, 543, 104 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 341, 543, 104 is 1.
HCF(341, 543, 104) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 341, 543, 104 is 1.
Step 1: Since 543 > 341, we apply the division lemma to 543 and 341, to get
543 = 341 x 1 + 202
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 202 and 341, to get
341 = 202 x 1 + 139
Step 3: We consider the new divisor 202 and the new remainder 139, and apply the division lemma to get
202 = 139 x 1 + 63
We consider the new divisor 139 and the new remainder 63,and apply the division lemma to get
139 = 63 x 2 + 13
We consider the new divisor 63 and the new remainder 13,and apply the division lemma to get
63 = 13 x 4 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 341 and 543 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(63,13) = HCF(139,63) = HCF(202,139) = HCF(341,202) = HCF(543,341) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 104 > 1, we apply the division lemma to 104 and 1, to get
104 = 1 x 104 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 104 is 1
Notice that 1 = HCF(104,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 341, 543, 104?
Answer: HCF of 341, 543, 104 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 341, 543, 104 using Euclid's Algorithm?
Answer: For arbitrary numbers 341, 543, 104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.