Highest Common Factor of 3042, 6006 using Euclid's algorithm
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 3042, 6006 i.e. 78 the largest integer that leaves a remainder zero for all numbers.
HCF of 3042, 6006 is 78 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 3042, 6006 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 3042, 6006 is 78.
HCF(3042, 6006) = 78
HCF of 3042, 6006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3042, 6006 is 78.
Highest Common Factor of 3042,6006 is 78
Step 1: Since 6006 > 3042, we apply the division lemma to 6006 and 3042, to get
6006 = 3042 x 1 + 2964
Step 2: Since the reminder 3042 ≠ 0, we apply division lemma to 2964 and 3042, to get
3042 = 2964 x 1 + 78
Step 3: We consider the new divisor 2964 and the new remainder 78, and apply the division lemma to get
2964 = 78 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 78, the HCF of 3042 and 6006 is 78
Notice that 78 = HCF(2964,78) = HCF(3042,2964) = HCF(6006,3042) .
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Frequently Asked Questions on HCF of 3042, 6006 using Euclid's Algorithm
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 3042, 6006?
Answer: HCF of 3042, 6006 is 78 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3042, 6006 using Euclid's Algorithm?
Answer: For arbitrary numbers 3042, 6006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
