Highest Common Factor of 7032, 9042 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 7032, 9042 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7032, 9042 is 6 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 7032, 9042 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 7032, 9042 is 6.
HCF(7032, 9042) = 6
HCF of 7032, 9042 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7032, 9042 is 6.
Highest Common Factor of 7032,9042 is 6
Step 1: Since 9042 > 7032, we apply the division lemma to 9042 and 7032, to get
9042 = 7032 x 1 + 2010
Step 2: Since the reminder 7032 ≠ 0, we apply division lemma to 2010 and 7032, to get
7032 = 2010 x 3 + 1002
Step 3: We consider the new divisor 2010 and the new remainder 1002, and apply the division lemma to get
2010 = 1002 x 2 + 6
We consider the new divisor 1002 and the new remainder 6, and apply the division lemma to get
1002 = 6 x 167 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7032 and 9042 is 6
Notice that 6 = HCF(1002,6) = HCF(2010,1002) = HCF(7032,2010) = HCF(9042,7032) .
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Frequently Asked Questions on HCF of 7032, 9042 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 7032, 9042?
Answer: HCF of 7032, 9042 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7032, 9042 using Euclid's Algorithm?
Answer: For arbitrary numbers 7032, 9042 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.