Highest Common Factor of 5474, 5777 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 5474, 5777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5474, 5777 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 5474, 5777 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 5474, 5777 is 1.
HCF(5474, 5777) = 1
HCF of 5474, 5777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5474, 5777 is 1.
Highest Common Factor of 5474,5777 is 1
Step 1: Since 5777 > 5474, we apply the division lemma to 5777 and 5474, to get
5777 = 5474 x 1 + 303
Step 2: Since the reminder 5474 ≠ 0, we apply division lemma to 303 and 5474, to get
5474 = 303 x 18 + 20
Step 3: We consider the new divisor 303 and the new remainder 20, and apply the division lemma to get
303 = 20 x 15 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5474 and 5777 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(303,20) = HCF(5474,303) = HCF(5777,5474) .
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Frequently Asked Questions on HCF of 5474, 5777 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 5474, 5777?
Answer: HCF of 5474, 5777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5474, 5777 using Euclid's Algorithm?
Answer: For arbitrary numbers 5474, 5777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.