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 7207, 3866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7207, 3866 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 7207, 3866 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 7207, 3866 is 1.
HCF(7207, 3866) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7207, 3866 is 1.
Step 1: Since 7207 > 3866, we apply the division lemma to 7207 and 3866, to get
7207 = 3866 x 1 + 3341
Step 2: Since the reminder 3866 ≠ 0, we apply division lemma to 3341 and 3866, to get
3866 = 3341 x 1 + 525
Step 3: We consider the new divisor 3341 and the new remainder 525, and apply the division lemma to get
3341 = 525 x 6 + 191
We consider the new divisor 525 and the new remainder 191,and apply the division lemma to get
525 = 191 x 2 + 143
We consider the new divisor 191 and the new remainder 143,and apply the division lemma to get
191 = 143 x 1 + 48
We consider the new divisor 143 and the new remainder 48,and apply the division lemma to get
143 = 48 x 2 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7207 and 3866 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(143,48) = HCF(191,143) = HCF(525,191) = HCF(3341,525) = HCF(3866,3341) = HCF(7207,3866) .
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 7207, 3866?
Answer: HCF of 7207, 3866 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7207, 3866 using Euclid's Algorithm?
Answer: For arbitrary numbers 7207, 3866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.