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 239, 386, 38 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 239, 386, 38 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 239, 386, 38 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 239, 386, 38 is 1.
HCF(239, 386, 38) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 239, 386, 38 is 1.
Step 1: Since 386 > 239, we apply the division lemma to 386 and 239, to get
386 = 239 x 1 + 147
Step 2: Since the reminder 239 ≠ 0, we apply division lemma to 147 and 239, to get
239 = 147 x 1 + 92
Step 3: We consider the new divisor 147 and the new remainder 92, and apply the division lemma to get
147 = 92 x 1 + 55
We consider the new divisor 92 and the new remainder 55,and apply the division lemma to get
92 = 55 x 1 + 37
We consider the new divisor 55 and the new remainder 37,and apply the division lemma to get
55 = 37 x 1 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 239 and 386 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(55,37) = HCF(92,55) = HCF(147,92) = HCF(239,147) = HCF(386,239) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1
Notice that 1 = HCF(38,1) .
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 239, 386, 38?
Answer: HCF of 239, 386, 38 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 239, 386, 38 using Euclid's Algorithm?
Answer: For arbitrary numbers 239, 386, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.