Highest Common Factor of 9261, 4191 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 9261, 4191 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9261, 4191 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 9261, 4191 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 9261, 4191 is 3.
HCF(9261, 4191) = 3
HCF of 9261, 4191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9261, 4191 is 3.
Highest Common Factor of 9261,4191 is 3
Step 1: Since 9261 > 4191, we apply the division lemma to 9261 and 4191, to get
9261 = 4191 x 2 + 879
Step 2: Since the reminder 4191 ≠ 0, we apply division lemma to 879 and 4191, to get
4191 = 879 x 4 + 675
Step 3: We consider the new divisor 879 and the new remainder 675, and apply the division lemma to get
879 = 675 x 1 + 204
We consider the new divisor 675 and the new remainder 204,and apply the division lemma to get
675 = 204 x 3 + 63
We consider the new divisor 204 and the new remainder 63,and apply the division lemma to get
204 = 63 x 3 + 15
We consider the new divisor 63 and the new remainder 15,and apply the division lemma to get
63 = 15 x 4 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9261 and 4191 is 3
Notice that 3 = HCF(15,3) = HCF(63,15) = HCF(204,63) = HCF(675,204) = HCF(879,675) = HCF(4191,879) = HCF(9261,4191) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9261, 4191 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 9261, 4191?
Answer: HCF of 9261, 4191 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9261, 4191 using Euclid's Algorithm?
Answer: For arbitrary numbers 9261, 4191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.