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 8401, 3176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8401, 3176 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 8401, 3176 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 8401, 3176 is 1.
HCF(8401, 3176) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8401, 3176 is 1.
Step 1: Since 8401 > 3176, we apply the division lemma to 8401 and 3176, to get
8401 = 3176 x 2 + 2049
Step 2: Since the reminder 3176 ≠ 0, we apply division lemma to 2049 and 3176, to get
3176 = 2049 x 1 + 1127
Step 3: We consider the new divisor 2049 and the new remainder 1127, and apply the division lemma to get
2049 = 1127 x 1 + 922
We consider the new divisor 1127 and the new remainder 922,and apply the division lemma to get
1127 = 922 x 1 + 205
We consider the new divisor 922 and the new remainder 205,and apply the division lemma to get
922 = 205 x 4 + 102
We consider the new divisor 205 and the new remainder 102,and apply the division lemma to get
205 = 102 x 2 + 1
We consider the new divisor 102 and the new remainder 1,and apply the division lemma to get
102 = 1 x 102 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8401 and 3176 is 1
Notice that 1 = HCF(102,1) = HCF(205,102) = HCF(922,205) = HCF(1127,922) = HCF(2049,1127) = HCF(3176,2049) = HCF(8401,3176) .
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 8401, 3176?
Answer: HCF of 8401, 3176 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8401, 3176 using Euclid's Algorithm?
Answer: For arbitrary numbers 8401, 3176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.