Highest Common Factor of 7050, 9066 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 7050, 9066 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7050, 9066 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 7050, 9066 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 7050, 9066 is 6.
HCF(7050, 9066) = 6
HCF of 7050, 9066 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7050, 9066 is 6.
Highest Common Factor of 7050,9066 is 6
Step 1: Since 9066 > 7050, we apply the division lemma to 9066 and 7050, to get
9066 = 7050 x 1 + 2016
Step 2: Since the reminder 7050 ≠ 0, we apply division lemma to 2016 and 7050, to get
7050 = 2016 x 3 + 1002
Step 3: We consider the new divisor 2016 and the new remainder 1002, and apply the division lemma to get
2016 = 1002 x 2 + 12
We consider the new divisor 1002 and the new remainder 12,and apply the division lemma to get
1002 = 12 x 83 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7050 and 9066 is 6
Notice that 6 = HCF(12,6) = HCF(1002,12) = HCF(2016,1002) = HCF(7050,2016) = HCF(9066,7050) .
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Frequently Asked Questions on HCF of 7050, 9066 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 7050, 9066?
Answer: HCF of 7050, 9066 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7050, 9066 using Euclid's Algorithm?
Answer: For arbitrary numbers 7050, 9066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.