Highest Common Factor of 387, 267 using Euclid's algorithm
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 387, 267 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 387, 267 is 3 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 387, 267 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 387, 267 is 3.
HCF(387, 267) = 3
HCF of 387, 267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 387, 267 is 3.
Highest Common Factor of 387,267 is 3
Step 1: Since 387 > 267, we apply the division lemma to 387 and 267, to get
387 = 267 x 1 + 120
Step 2: Since the reminder 267 ≠ 0, we apply division lemma to 120 and 267, to get
267 = 120 x 2 + 27
Step 3: We consider the new divisor 120 and the new remainder 27, and apply the division lemma to get
120 = 27 x 4 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 387 and 267 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(120,27) = HCF(267,120) = HCF(387,267) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 387, 267 using Euclid's Algorithm
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 387, 267?
Answer: HCF of 387, 267 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 387, 267 using Euclid's Algorithm?
Answer: For arbitrary numbers 387, 267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.