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 6987, 9087 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6987, 9087 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 6987, 9087 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 6987, 9087 is 3.
HCF(6987, 9087) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6987, 9087 is 3.
Step 1: Since 9087 > 6987, we apply the division lemma to 9087 and 6987, to get
9087 = 6987 x 1 + 2100
Step 2: Since the reminder 6987 ≠ 0, we apply division lemma to 2100 and 6987, to get
6987 = 2100 x 3 + 687
Step 3: We consider the new divisor 2100 and the new remainder 687, and apply the division lemma to get
2100 = 687 x 3 + 39
We consider the new divisor 687 and the new remainder 39,and apply the division lemma to get
687 = 39 x 17 + 24
We consider the new divisor 39 and the new remainder 24,and apply the division lemma to get
39 = 24 x 1 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6987 and 9087 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(39,24) = HCF(687,39) = HCF(2100,687) = HCF(6987,2100) = HCF(9087,6987) .
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 6987, 9087?
Answer: HCF of 6987, 9087 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6987, 9087 using Euclid's Algorithm?
Answer: For arbitrary numbers 6987, 9087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.