Highest Common Factor of 7382, 2701 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 7382, 2701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7382, 2701 is 1 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 7382, 2701 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 7382, 2701 is 1.
HCF(7382, 2701) = 1
HCF of 7382, 2701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7382, 2701 is 1.
Highest Common Factor of 7382,2701 is 1
Step 1: Since 7382 > 2701, we apply the division lemma to 7382 and 2701, to get
7382 = 2701 x 2 + 1980
Step 2: Since the reminder 2701 ≠ 0, we apply division lemma to 1980 and 2701, to get
2701 = 1980 x 1 + 721
Step 3: We consider the new divisor 1980 and the new remainder 721, and apply the division lemma to get
1980 = 721 x 2 + 538
We consider the new divisor 721 and the new remainder 538,and apply the division lemma to get
721 = 538 x 1 + 183
We consider the new divisor 538 and the new remainder 183,and apply the division lemma to get
538 = 183 x 2 + 172
We consider the new divisor 183 and the new remainder 172,and apply the division lemma to get
183 = 172 x 1 + 11
We consider the new divisor 172 and the new remainder 11,and apply the division lemma to get
172 = 11 x 15 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7382 and 2701 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(172,11) = HCF(183,172) = HCF(538,183) = HCF(721,538) = HCF(1980,721) = HCF(2701,1980) = HCF(7382,2701) .
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Frequently Asked Questions on HCF of 7382, 2701 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 7382, 2701?
Answer: HCF of 7382, 2701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7382, 2701 using Euclid's Algorithm?
Answer: For arbitrary numbers 7382, 2701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.