Highest Common Factor of 7053, 3981 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 7053, 3981 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7053, 3981 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 7053, 3981 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 7053, 3981 is 3.
HCF(7053, 3981) = 3
HCF of 7053, 3981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7053, 3981 is 3.
Highest Common Factor of 7053,3981 is 3
Step 1: Since 7053 > 3981, we apply the division lemma to 7053 and 3981, to get
7053 = 3981 x 1 + 3072
Step 2: Since the reminder 3981 ≠ 0, we apply division lemma to 3072 and 3981, to get
3981 = 3072 x 1 + 909
Step 3: We consider the new divisor 3072 and the new remainder 909, and apply the division lemma to get
3072 = 909 x 3 + 345
We consider the new divisor 909 and the new remainder 345,and apply the division lemma to get
909 = 345 x 2 + 219
We consider the new divisor 345 and the new remainder 219,and apply the division lemma to get
345 = 219 x 1 + 126
We consider the new divisor 219 and the new remainder 126,and apply the division lemma to get
219 = 126 x 1 + 93
We consider the new divisor 126 and the new remainder 93,and apply the division lemma to get
126 = 93 x 1 + 33
We consider the new divisor 93 and the new remainder 33,and apply the division lemma to get
93 = 33 x 2 + 27
We consider the new divisor 33 and the new remainder 27,and apply the division lemma to get
33 = 27 x 1 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7053 and 3981 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(33,27) = HCF(93,33) = HCF(126,93) = HCF(219,126) = HCF(345,219) = HCF(909,345) = HCF(3072,909) = HCF(3981,3072) = HCF(7053,3981) .
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Frequently Asked Questions on HCF of 7053, 3981 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 7053, 3981?
Answer: HCF of 7053, 3981 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7053, 3981 using Euclid's Algorithm?
Answer: For arbitrary numbers 7053, 3981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
