Highest Common Factor of 5178, 1753 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 5178, 1753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5178, 1753 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 5178, 1753 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 5178, 1753 is 1.
HCF(5178, 1753) = 1
HCF of 5178, 1753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5178, 1753 is 1.
Highest Common Factor of 5178,1753 is 1
Step 1: Since 5178 > 1753, we apply the division lemma to 5178 and 1753, to get
5178 = 1753 x 2 + 1672
Step 2: Since the reminder 1753 ≠ 0, we apply division lemma to 1672 and 1753, to get
1753 = 1672 x 1 + 81
Step 3: We consider the new divisor 1672 and the new remainder 81, and apply the division lemma to get
1672 = 81 x 20 + 52
We consider the new divisor 81 and the new remainder 52,and apply the division lemma to get
81 = 52 x 1 + 29
We consider the new divisor 52 and the new remainder 29,and apply the division lemma to get
52 = 29 x 1 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 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 5178 and 1753 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(52,29) = HCF(81,52) = HCF(1672,81) = HCF(1753,1672) = HCF(5178,1753) .
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Frequently Asked Questions on HCF of 5178, 1753 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 5178, 1753?
Answer: HCF of 5178, 1753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5178, 1753 using Euclid's Algorithm?
Answer: For arbitrary numbers 5178, 1753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.