Highest Common Factor of 5432, 4649 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 5432, 4649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5432, 4649 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 5432, 4649 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 5432, 4649 is 1.
HCF(5432, 4649) = 1
HCF of 5432, 4649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5432, 4649 is 1.
Highest Common Factor of 5432,4649 is 1
Step 1: Since 5432 > 4649, we apply the division lemma to 5432 and 4649, to get
5432 = 4649 x 1 + 783
Step 2: Since the reminder 4649 ≠ 0, we apply division lemma to 783 and 4649, to get
4649 = 783 x 5 + 734
Step 3: We consider the new divisor 783 and the new remainder 734, and apply the division lemma to get
783 = 734 x 1 + 49
We consider the new divisor 734 and the new remainder 49,and apply the division lemma to get
734 = 49 x 14 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5432 and 4649 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(734,49) = HCF(783,734) = HCF(4649,783) = HCF(5432,4649) .
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Frequently Asked Questions on HCF of 5432, 4649 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 5432, 4649?
Answer: HCF of 5432, 4649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5432, 4649 using Euclid's Algorithm?
Answer: For arbitrary numbers 5432, 4649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.