Highest Common Factor of 5278, 4633 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 5278, 4633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5278, 4633 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 5278, 4633 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 5278, 4633 is 1.
HCF(5278, 4633) = 1
HCF of 5278, 4633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5278, 4633 is 1.
Highest Common Factor of 5278,4633 is 1
Step 1: Since 5278 > 4633, we apply the division lemma to 5278 and 4633, to get
5278 = 4633 x 1 + 645
Step 2: Since the reminder 4633 ≠ 0, we apply division lemma to 645 and 4633, to get
4633 = 645 x 7 + 118
Step 3: We consider the new divisor 645 and the new remainder 118, and apply the division lemma to get
645 = 118 x 5 + 55
We consider the new divisor 118 and the new remainder 55,and apply the division lemma to get
118 = 55 x 2 + 8
We consider the new divisor 55 and the new remainder 8,and apply the division lemma to get
55 = 8 x 6 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5278 and 4633 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(55,8) = HCF(118,55) = HCF(645,118) = HCF(4633,645) = HCF(5278,4633) .
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Frequently Asked Questions on HCF of 5278, 4633 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 5278, 4633?
Answer: HCF of 5278, 4633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5278, 4633 using Euclid's Algorithm?
Answer: For arbitrary numbers 5278, 4633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.