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 611, 387, 142 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 611, 387, 142 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 611, 387, 142 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 611, 387, 142 is 1.
HCF(611, 387, 142) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 611, 387, 142 is 1.
Step 1: Since 611 > 387, we apply the division lemma to 611 and 387, to get
611 = 387 x 1 + 224
Step 2: Since the reminder 387 ≠ 0, we apply division lemma to 224 and 387, to get
387 = 224 x 1 + 163
Step 3: We consider the new divisor 224 and the new remainder 163, and apply the division lemma to get
224 = 163 x 1 + 61
We consider the new divisor 163 and the new remainder 61,and apply the division lemma to get
163 = 61 x 2 + 41
We consider the new divisor 61 and the new remainder 41,and apply the division lemma to get
61 = 41 x 1 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 611 and 387 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(61,41) = HCF(163,61) = HCF(224,163) = HCF(387,224) = HCF(611,387) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 142 > 1, we apply the division lemma to 142 and 1, to get
142 = 1 x 142 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 142 is 1
Notice that 1 = HCF(142,1) .
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 611, 387, 142?
Answer: HCF of 611, 387, 142 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 611, 387, 142 using Euclid's Algorithm?
Answer: For arbitrary numbers 611, 387, 142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.