Highest Common Factor of 5456, 4031 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 5456, 4031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5456, 4031 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 5456, 4031 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 5456, 4031 is 1.
HCF(5456, 4031) = 1
HCF of 5456, 4031 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5456, 4031 is 1.
Highest Common Factor of 5456,4031 is 1
Step 1: Since 5456 > 4031, we apply the division lemma to 5456 and 4031, to get
5456 = 4031 x 1 + 1425
Step 2: Since the reminder 4031 ≠ 0, we apply division lemma to 1425 and 4031, to get
4031 = 1425 x 2 + 1181
Step 3: We consider the new divisor 1425 and the new remainder 1181, and apply the division lemma to get
1425 = 1181 x 1 + 244
We consider the new divisor 1181 and the new remainder 244,and apply the division lemma to get
1181 = 244 x 4 + 205
We consider the new divisor 244 and the new remainder 205,and apply the division lemma to get
244 = 205 x 1 + 39
We consider the new divisor 205 and the new remainder 39,and apply the division lemma to get
205 = 39 x 5 + 10
We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get
39 = 10 x 3 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5456 and 4031 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(205,39) = HCF(244,205) = HCF(1181,244) = HCF(1425,1181) = HCF(4031,1425) = HCF(5456,4031) .
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Frequently Asked Questions on HCF of 5456, 4031 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 5456, 4031?
Answer: HCF of 5456, 4031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5456, 4031 using Euclid's Algorithm?
Answer: For arbitrary numbers 5456, 4031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.