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 9131, 3146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9131, 3146 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 9131, 3146 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 9131, 3146 is 1.
HCF(9131, 3146) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9131, 3146 is 1.
Step 1: Since 9131 > 3146, we apply the division lemma to 9131 and 3146, to get
9131 = 3146 x 2 + 2839
Step 2: Since the reminder 3146 ≠ 0, we apply division lemma to 2839 and 3146, to get
3146 = 2839 x 1 + 307
Step 3: We consider the new divisor 2839 and the new remainder 307, and apply the division lemma to get
2839 = 307 x 9 + 76
We consider the new divisor 307 and the new remainder 76,and apply the division lemma to get
307 = 76 x 4 + 3
We consider the new divisor 76 and the new remainder 3,and apply the division lemma to get
76 = 3 x 25 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9131 and 3146 is 1
Notice that 1 = HCF(3,1) = HCF(76,3) = HCF(307,76) = HCF(2839,307) = HCF(3146,2839) = HCF(9131,3146) .
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 9131, 3146?
Answer: HCF of 9131, 3146 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9131, 3146 using Euclid's Algorithm?
Answer: For arbitrary numbers 9131, 3146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.