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 4306, 4987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4306, 4987 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 4306, 4987 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 4306, 4987 is 1.
HCF(4306, 4987) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4306, 4987 is 1.
Step 1: Since 4987 > 4306, we apply the division lemma to 4987 and 4306, to get
4987 = 4306 x 1 + 681
Step 2: Since the reminder 4306 ≠ 0, we apply division lemma to 681 and 4306, to get
4306 = 681 x 6 + 220
Step 3: We consider the new divisor 681 and the new remainder 220, and apply the division lemma to get
681 = 220 x 3 + 21
We consider the new divisor 220 and the new remainder 21,and apply the division lemma to get
220 = 21 x 10 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4306 and 4987 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(220,21) = HCF(681,220) = HCF(4306,681) = HCF(4987,4306) .
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 4306, 4987?
Answer: HCF of 4306, 4987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4306, 4987 using Euclid's Algorithm?
Answer: For arbitrary numbers 4306, 4987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.