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 4131, 4598, 32370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4131, 4598, 32370 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 4131, 4598, 32370 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 4131, 4598, 32370 is 1.
HCF(4131, 4598, 32370) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4131, 4598, 32370 is 1.
Step 1: Since 4598 > 4131, we apply the division lemma to 4598 and 4131, to get
4598 = 4131 x 1 + 467
Step 2: Since the reminder 4131 ≠ 0, we apply division lemma to 467 and 4131, to get
4131 = 467 x 8 + 395
Step 3: We consider the new divisor 467 and the new remainder 395, and apply the division lemma to get
467 = 395 x 1 + 72
We consider the new divisor 395 and the new remainder 72,and apply the division lemma to get
395 = 72 x 5 + 35
We consider the new divisor 72 and the new remainder 35,and apply the division lemma to get
72 = 35 x 2 + 2
We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get
35 = 2 x 17 + 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 4131 and 4598 is 1
Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(72,35) = HCF(395,72) = HCF(467,395) = HCF(4131,467) = HCF(4598,4131) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32370 > 1, we apply the division lemma to 32370 and 1, to get
32370 = 1 x 32370 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32370 is 1
Notice that 1 = HCF(32370,1) .
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 4131, 4598, 32370?
Answer: HCF of 4131, 4598, 32370 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4131, 4598, 32370 using Euclid's Algorithm?
Answer: For arbitrary numbers 4131, 4598, 32370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.