Highest Common Factor of 4551, 5106 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 4551, 5106 i.e. 111 the largest integer that leaves a remainder zero for all numbers.
HCF of 4551, 5106 is 111 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 4551, 5106 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 4551, 5106 is 111.
HCF(4551, 5106) = 111
HCF of 4551, 5106 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4551, 5106 is 111.
Highest Common Factor of 4551,5106 is 111
Step 1: Since 5106 > 4551, we apply the division lemma to 5106 and 4551, to get
5106 = 4551 x 1 + 555
Step 2: Since the reminder 4551 ≠ 0, we apply division lemma to 555 and 4551, to get
4551 = 555 x 8 + 111
Step 3: We consider the new divisor 555 and the new remainder 111, and apply the division lemma to get
555 = 111 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 111, the HCF of 4551 and 5106 is 111
Notice that 111 = HCF(555,111) = HCF(4551,555) = HCF(5106,4551) .
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Frequently Asked Questions on HCF of 4551, 5106 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 4551, 5106?
Answer: HCF of 4551, 5106 is 111 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4551, 5106 using Euclid's Algorithm?
Answer: For arbitrary numbers 4551, 5106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
