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 368, 588, 784, 27 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 368, 588, 784, 27 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 368, 588, 784, 27 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 368, 588, 784, 27 is 1.
HCF(368, 588, 784, 27) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 368, 588, 784, 27 is 1.
Step 1: Since 588 > 368, we apply the division lemma to 588 and 368, to get
588 = 368 x 1 + 220
Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 220 and 368, to get
368 = 220 x 1 + 148
Step 3: We consider the new divisor 220 and the new remainder 148, and apply the division lemma to get
220 = 148 x 1 + 72
We consider the new divisor 148 and the new remainder 72,and apply the division lemma to get
148 = 72 x 2 + 4
We consider the new divisor 72 and the new remainder 4,and apply the division lemma to get
72 = 4 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 368 and 588 is 4
Notice that 4 = HCF(72,4) = HCF(148,72) = HCF(220,148) = HCF(368,220) = HCF(588,368) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 784 > 4, we apply the division lemma to 784 and 4, to get
784 = 4 x 196 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 784 is 4
Notice that 4 = HCF(784,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 27 > 4, we apply the division lemma to 27 and 4, to get
27 = 4 x 6 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 27 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) .
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 368, 588, 784, 27?
Answer: HCF of 368, 588, 784, 27 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 368, 588, 784, 27 using Euclid's Algorithm?
Answer: For arbitrary numbers 368, 588, 784, 27 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.