Highest Common Factor of 401, 1107, 8244 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 401, 1107, 8244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 401, 1107, 8244 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 401, 1107, 8244 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 401, 1107, 8244 is 1.
HCF(401, 1107, 8244) = 1
HCF of 401, 1107, 8244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 401, 1107, 8244 is 1.
Highest Common Factor of 401,1107,8244 is 1
Step 1: Since 1107 > 401, we apply the division lemma to 1107 and 401, to get
1107 = 401 x 2 + 305
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 305 and 401, to get
401 = 305 x 1 + 96
Step 3: We consider the new divisor 305 and the new remainder 96, and apply the division lemma to get
305 = 96 x 3 + 17
We consider the new divisor 96 and the new remainder 17,and apply the division lemma to get
96 = 17 x 5 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 401 and 1107 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(96,17) = HCF(305,96) = HCF(401,305) = HCF(1107,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8244 > 1, we apply the division lemma to 8244 and 1, to get
8244 = 1 x 8244 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8244 is 1
Notice that 1 = HCF(8244,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 401, 1107, 8244 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 401, 1107, 8244?
Answer: HCF of 401, 1107, 8244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 401, 1107, 8244 using Euclid's Algorithm?
Answer: For arbitrary numbers 401, 1107, 8244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
