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 6012, 8267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6012, 8267 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 6012, 8267 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 6012, 8267 is 1.
HCF(6012, 8267) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6012, 8267 is 1.
Step 1: Since 8267 > 6012, we apply the division lemma to 8267 and 6012, to get
8267 = 6012 x 1 + 2255
Step 2: Since the reminder 6012 ≠ 0, we apply division lemma to 2255 and 6012, to get
6012 = 2255 x 2 + 1502
Step 3: We consider the new divisor 2255 and the new remainder 1502, and apply the division lemma to get
2255 = 1502 x 1 + 753
We consider the new divisor 1502 and the new remainder 753,and apply the division lemma to get
1502 = 753 x 1 + 749
We consider the new divisor 753 and the new remainder 749,and apply the division lemma to get
753 = 749 x 1 + 4
We consider the new divisor 749 and the new remainder 4,and apply the division lemma to get
749 = 4 x 187 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6012 and 8267 is 1
Notice that 1 = HCF(4,1) = HCF(749,4) = HCF(753,749) = HCF(1502,753) = HCF(2255,1502) = HCF(6012,2255) = HCF(8267,6012) .
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 6012, 8267?
Answer: HCF of 6012, 8267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6012, 8267 using Euclid's Algorithm?
Answer: For arbitrary numbers 6012, 8267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.