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 9657, 7771, 46830 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9657, 7771, 46830 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 9657, 7771, 46830 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 9657, 7771, 46830 is 1.
HCF(9657, 7771, 46830) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9657, 7771, 46830 is 1.
Step 1: Since 9657 > 7771, we apply the division lemma to 9657 and 7771, to get
9657 = 7771 x 1 + 1886
Step 2: Since the reminder 7771 ≠ 0, we apply division lemma to 1886 and 7771, to get
7771 = 1886 x 4 + 227
Step 3: We consider the new divisor 1886 and the new remainder 227, and apply the division lemma to get
1886 = 227 x 8 + 70
We consider the new divisor 227 and the new remainder 70,and apply the division lemma to get
227 = 70 x 3 + 17
We consider the new divisor 70 and the new remainder 17,and apply the division lemma to get
70 = 17 x 4 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9657 and 7771 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(70,17) = HCF(227,70) = HCF(1886,227) = HCF(7771,1886) = HCF(9657,7771) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46830 > 1, we apply the division lemma to 46830 and 1, to get
46830 = 1 x 46830 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46830 is 1
Notice that 1 = HCF(46830,1) .
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 9657, 7771, 46830?
Answer: HCF of 9657, 7771, 46830 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9657, 7771, 46830 using Euclid's Algorithm?
Answer: For arbitrary numbers 9657, 7771, 46830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.