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 6035, 5787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6035, 5787 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 6035, 5787 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 6035, 5787 is 1.
HCF(6035, 5787) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6035, 5787 is 1.
Step 1: Since 6035 > 5787, we apply the division lemma to 6035 and 5787, to get
6035 = 5787 x 1 + 248
Step 2: Since the reminder 5787 ≠ 0, we apply division lemma to 248 and 5787, to get
5787 = 248 x 23 + 83
Step 3: We consider the new divisor 248 and the new remainder 83, and apply the division lemma to get
248 = 83 x 2 + 82
We consider the new divisor 83 and the new remainder 82,and apply the division lemma to get
83 = 82 x 1 + 1
We consider the new divisor 82 and the new remainder 1,and apply the division lemma to get
82 = 1 x 82 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6035 and 5787 is 1
Notice that 1 = HCF(82,1) = HCF(83,82) = HCF(248,83) = HCF(5787,248) = HCF(6035,5787) .
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 6035, 5787?
Answer: HCF of 6035, 5787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6035, 5787 using Euclid's Algorithm?
Answer: For arbitrary numbers 6035, 5787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.