Highest Common Factor of 1753, 5027 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 1753, 5027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1753, 5027 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 1753, 5027 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 1753, 5027 is 1.
HCF(1753, 5027) = 1
HCF of 1753, 5027 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1753, 5027 is 1.
Highest Common Factor of 1753,5027 is 1
Step 1: Since 5027 > 1753, we apply the division lemma to 5027 and 1753, to get
5027 = 1753 x 2 + 1521
Step 2: Since the reminder 1753 ≠ 0, we apply division lemma to 1521 and 1753, to get
1753 = 1521 x 1 + 232
Step 3: We consider the new divisor 1521 and the new remainder 232, and apply the division lemma to get
1521 = 232 x 6 + 129
We consider the new divisor 232 and the new remainder 129,and apply the division lemma to get
232 = 129 x 1 + 103
We consider the new divisor 129 and the new remainder 103,and apply the division lemma to get
129 = 103 x 1 + 26
We consider the new divisor 103 and the new remainder 26,and apply the division lemma to get
103 = 26 x 3 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1753 and 5027 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(103,26) = HCF(129,103) = HCF(232,129) = HCF(1521,232) = HCF(1753,1521) = HCF(5027,1753) .
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Frequently Asked Questions on HCF of 1753, 5027 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 1753, 5027?
Answer: HCF of 1753, 5027 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1753, 5027 using Euclid's Algorithm?
Answer: For arbitrary numbers 1753, 5027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.