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 3187, 8115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3187, 8115 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 3187, 8115 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 3187, 8115 is 1.
HCF(3187, 8115) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3187, 8115 is 1.
Step 1: Since 8115 > 3187, we apply the division lemma to 8115 and 3187, to get
8115 = 3187 x 2 + 1741
Step 2: Since the reminder 3187 ≠ 0, we apply division lemma to 1741 and 3187, to get
3187 = 1741 x 1 + 1446
Step 3: We consider the new divisor 1741 and the new remainder 1446, and apply the division lemma to get
1741 = 1446 x 1 + 295
We consider the new divisor 1446 and the new remainder 295,and apply the division lemma to get
1446 = 295 x 4 + 266
We consider the new divisor 295 and the new remainder 266,and apply the division lemma to get
295 = 266 x 1 + 29
We consider the new divisor 266 and the new remainder 29,and apply the division lemma to get
266 = 29 x 9 + 5
We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get
29 = 5 x 5 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3187 and 8115 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(266,29) = HCF(295,266) = HCF(1446,295) = HCF(1741,1446) = HCF(3187,1741) = HCF(8115,3187) .
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 3187, 8115?
Answer: HCF of 3187, 8115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3187, 8115 using Euclid's Algorithm?
Answer: For arbitrary numbers 3187, 8115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.