Highest Common Factor of 5104, 4530 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 5104, 4530 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5104, 4530 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 5104, 4530 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 5104, 4530 is 2.
HCF(5104, 4530) = 2
HCF of 5104, 4530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5104, 4530 is 2.
Highest Common Factor of 5104,4530 is 2
Step 1: Since 5104 > 4530, we apply the division lemma to 5104 and 4530, to get
5104 = 4530 x 1 + 574
Step 2: Since the reminder 4530 ≠ 0, we apply division lemma to 574 and 4530, to get
4530 = 574 x 7 + 512
Step 3: We consider the new divisor 574 and the new remainder 512, and apply the division lemma to get
574 = 512 x 1 + 62
We consider the new divisor 512 and the new remainder 62,and apply the division lemma to get
512 = 62 x 8 + 16
We consider the new divisor 62 and the new remainder 16,and apply the division lemma to get
62 = 16 x 3 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5104 and 4530 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(62,16) = HCF(512,62) = HCF(574,512) = HCF(4530,574) = HCF(5104,4530) .
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Frequently Asked Questions on HCF of 5104, 4530 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 5104, 4530?
Answer: HCF of 5104, 4530 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5104, 4530 using Euclid's Algorithm?
Answer: For arbitrary numbers 5104, 4530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.