Highest Common Factor of 4672, 5054 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 4672, 5054 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4672, 5054 is 2 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 4672, 5054 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 4672, 5054 is 2.
HCF(4672, 5054) = 2
HCF of 4672, 5054 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4672, 5054 is 2.
Highest Common Factor of 4672,5054 is 2
Step 1: Since 5054 > 4672, we apply the division lemma to 5054 and 4672, to get
5054 = 4672 x 1 + 382
Step 2: Since the reminder 4672 ≠ 0, we apply division lemma to 382 and 4672, to get
4672 = 382 x 12 + 88
Step 3: We consider the new divisor 382 and the new remainder 88, and apply the division lemma to get
382 = 88 x 4 + 30
We consider the new divisor 88 and the new remainder 30,and apply the division lemma to get
88 = 30 x 2 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4672 and 5054 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(88,30) = HCF(382,88) = HCF(4672,382) = HCF(5054,4672) .
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Frequently Asked Questions on HCF of 4672, 5054 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 4672, 5054?
Answer: HCF of 4672, 5054 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4672, 5054 using Euclid's Algorithm?
Answer: For arbitrary numbers 4672, 5054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.