Highest Common Factor of 5463, 1868 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 5463, 1868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5463, 1868 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 5463, 1868 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 5463, 1868 is 1.
HCF(5463, 1868) = 1
HCF of 5463, 1868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5463, 1868 is 1.
Highest Common Factor of 5463,1868 is 1
Step 1: Since 5463 > 1868, we apply the division lemma to 5463 and 1868, to get
5463 = 1868 x 2 + 1727
Step 2: Since the reminder 1868 ≠ 0, we apply division lemma to 1727 and 1868, to get
1868 = 1727 x 1 + 141
Step 3: We consider the new divisor 1727 and the new remainder 141, and apply the division lemma to get
1727 = 141 x 12 + 35
We consider the new divisor 141 and the new remainder 35,and apply the division lemma to get
141 = 35 x 4 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5463 and 1868 is 1
Notice that 1 = HCF(35,1) = HCF(141,35) = HCF(1727,141) = HCF(1868,1727) = HCF(5463,1868) .
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Frequently Asked Questions on HCF of 5463, 1868 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 5463, 1868?
Answer: HCF of 5463, 1868 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5463, 1868 using Euclid's Algorithm?
Answer: For arbitrary numbers 5463, 1868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.