Highest Common Factor of 7068, 9720 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 7068, 9720 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 7068, 9720 is 12 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 7068, 9720 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 7068, 9720 is 12.
HCF(7068, 9720) = 12
HCF of 7068, 9720 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7068, 9720 is 12.
Highest Common Factor of 7068,9720 is 12
Step 1: Since 9720 > 7068, we apply the division lemma to 9720 and 7068, to get
9720 = 7068 x 1 + 2652
Step 2: Since the reminder 7068 ≠ 0, we apply division lemma to 2652 and 7068, to get
7068 = 2652 x 2 + 1764
Step 3: We consider the new divisor 2652 and the new remainder 1764, and apply the division lemma to get
2652 = 1764 x 1 + 888
We consider the new divisor 1764 and the new remainder 888,and apply the division lemma to get
1764 = 888 x 1 + 876
We consider the new divisor 888 and the new remainder 876,and apply the division lemma to get
888 = 876 x 1 + 12
We consider the new divisor 876 and the new remainder 12,and apply the division lemma to get
876 = 12 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 7068 and 9720 is 12
Notice that 12 = HCF(876,12) = HCF(888,876) = HCF(1764,888) = HCF(2652,1764) = HCF(7068,2652) = HCF(9720,7068) .
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Frequently Asked Questions on HCF of 7068, 9720 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 7068, 9720?
Answer: HCF of 7068, 9720 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7068, 9720 using Euclid's Algorithm?
Answer: For arbitrary numbers 7068, 9720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.