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 6582, 4701 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6582, 4701 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 6582, 4701 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 6582, 4701 is 3.
HCF(6582, 4701) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6582, 4701 is 3.
Step 1: Since 6582 > 4701, we apply the division lemma to 6582 and 4701, to get
6582 = 4701 x 1 + 1881
Step 2: Since the reminder 4701 ≠ 0, we apply division lemma to 1881 and 4701, to get
4701 = 1881 x 2 + 939
Step 3: We consider the new divisor 1881 and the new remainder 939, and apply the division lemma to get
1881 = 939 x 2 + 3
We consider the new divisor 939 and the new remainder 3, and apply the division lemma to get
939 = 3 x 313 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6582 and 4701 is 3
Notice that 3 = HCF(939,3) = HCF(1881,939) = HCF(4701,1881) = HCF(6582,4701) .
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 6582, 4701?
Answer: HCF of 6582, 4701 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6582, 4701 using Euclid's Algorithm?
Answer: For arbitrary numbers 6582, 4701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.