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 347, 132, 463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 347, 132, 463 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 347, 132, 463 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 347, 132, 463 is 1.
HCF(347, 132, 463) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 347, 132, 463 is 1.
Step 1: Since 347 > 132, we apply the division lemma to 347 and 132, to get
347 = 132 x 2 + 83
Step 2: Since the reminder 132 ≠ 0, we apply division lemma to 83 and 132, to get
132 = 83 x 1 + 49
Step 3: We consider the new divisor 83 and the new remainder 49, and apply the division lemma to get
83 = 49 x 1 + 34
We consider the new divisor 49 and the new remainder 34,and apply the division lemma to get
49 = 34 x 1 + 15
We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get
34 = 15 x 2 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 347 and 132 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(49,34) = HCF(83,49) = HCF(132,83) = HCF(347,132) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 463 > 1, we apply the division lemma to 463 and 1, to get
463 = 1 x 463 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 463 is 1
Notice that 1 = HCF(463,1) .
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 347, 132, 463?
Answer: HCF of 347, 132, 463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 347, 132, 463 using Euclid's Algorithm?
Answer: For arbitrary numbers 347, 132, 463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.