Highest Common Factor of 7027, 5237 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 7027, 5237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7027, 5237 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 7027, 5237 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 7027, 5237 is 1.
HCF(7027, 5237) = 1
HCF of 7027, 5237 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7027, 5237 is 1.
Highest Common Factor of 7027,5237 is 1
Step 1: Since 7027 > 5237, we apply the division lemma to 7027 and 5237, to get
7027 = 5237 x 1 + 1790
Step 2: Since the reminder 5237 ≠ 0, we apply division lemma to 1790 and 5237, to get
5237 = 1790 x 2 + 1657
Step 3: We consider the new divisor 1790 and the new remainder 1657, and apply the division lemma to get
1790 = 1657 x 1 + 133
We consider the new divisor 1657 and the new remainder 133,and apply the division lemma to get
1657 = 133 x 12 + 61
We consider the new divisor 133 and the new remainder 61,and apply the division lemma to get
133 = 61 x 2 + 11
We consider the new divisor 61 and the new remainder 11,and apply the division lemma to get
61 = 11 x 5 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7027 and 5237 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(61,11) = HCF(133,61) = HCF(1657,133) = HCF(1790,1657) = HCF(5237,1790) = HCF(7027,5237) .
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Frequently Asked Questions on HCF of 7027, 5237 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 7027, 5237?
Answer: HCF of 7027, 5237 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7027, 5237 using Euclid's Algorithm?
Answer: For arbitrary numbers 7027, 5237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
